a fuzzy compromise approach to water resource systems planning under uncertainty abstract a fuzzy compromise approach to decision analysis is described within the context of water resource systems planning under uncertainty the approach allows various sources of uncertainty and is intended to provide a flexible form of group decision support the example compares the electre method with the fuzzy compromise approach the comparison is intended to demonstrate the benefits of adopting a multicriteria decision analysis technique which presents subjectivity within its proper context while maintaining an intuitive and transparent technique for ranking alternatives the fuzzy compromise approach allows a family of possible conditions to be reviewed and supports group decisions through fuzzy sets designed to reflect collective opinions and conflicting judgements ranking of alternatives is accomplished with fuzzy ranking measures designed to illustrate the effect of risk tolerance differences among decision makers two distinct ranking measures are used a centroid measure and a fuzzy comparison measure based on a fuzzy goal

ordinal regression revisited multiple criteria ranking using a set of additive value functions abstract we present a new method called utagms for multiple criteria ranking of alternatives from set a using a set of additive value functions which result from an ordinal regression the preference information provided by the decision maker is a set of pairwise comparisons on a subset of alternatives ar a called reference alternatives the preference model built via ordinal regression is the set of all additive value functions compatible with the preference information using this model one can define two relations in the set a the necessary weak preference relation which holds for any two alternatives a b from set a if and only if for all compatible value functions a is preferred to b and the possible weak preference relation which holds for this pair if and only if for at least one compatible value function a is preferred to b these relations establish a necessary and a possible ranking of alternatives from a being respectively a partial preorder and a strongly complete relation the utagms method is intended to be used interactively with an increasing subset ar and a progressive statement of pairwise comparisons when no preference information is provided the necessary weak preference relation is a weak dominance relation and the possible weak preference relation is a complete relation every new pairwise comparison of reference alternatives for which the dominance relation does not hold is enriching the necessary relation and it is impoverishing the possible relation so that they converge with the growth of the preference information distinguishing necessary and possible consequences of preference information on the complete set of actions utagms answers questions of robustness analysis moreover the method can support the decision maker when his her preference statements cannot be represented in terms of an additive value function the method is illustrated by an example solved using the utagms software some extensions of the method are also presented

upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation abstract for a smooth bounded domain r n n 3 and e a real parameter consider the hyperbolic equation eu tt u t u u g in with dirichlet boundary conditions under certain conditions on this equation has a compact attractor a e in h 0 1 l 2 for e 0 the parabolic equation also has a compact attractor which can be naturally embedded into a compact set a 0 in h 0 1 l 2 it is shown that for any neighborhood u of a 0 the set a e u for e small

regular random attractors for non autonomous stochastic evolution equations with time varying delays on thin domains this paper deals with the limiting dynamical behavior of non autonomous stochastic reaction diffusion equations with time varying delays on thin domains first we prove the existence and uniqueness of the regular random attractor then we prove the upper semicontinuity of the regular random attractors for the equations on a family of n 1 dimensional thin domains that collapses onto an n dimensional domain

global attractors for the wave equation with nonlinear damping based on a new a priori estimate method so called asymptotic a priori estimate the existence of a global attractor is proved for the wave equation utt kg ut u f u 0 on a bounded domain r3 with dirichlet boundary conditions the nonlinear damping term g is supposed to satisfy the growth condition c1 s c2 g s c3 1 s p where 1 p 0 is arbitrary the nonlinear term f is supposed to satisfy the growth condition f s c4 1 s q where q 2 it is remarkable that when 2 p 5 we positively answer an open problem in chueshov and lasiecka i chueshov i lasiecka long time behavior of second evolution equations with nonlinear damping math scuola norm sup 2004 and improve the corresponding results in feireisl e feireisl global attractors for damped wave equations with supercritical exponent j differential equations 116 1995 431 447

random attractors for singular stochastic evolution equations abstract the existence of random attractors for singular stochastic evolution equations see perturbed by general additive noise is proven the drift is only assumed to satisfy the standard assumptions of the variational approach to see with compact embeddings in the gelfand triple and singular coercivity for ergodic monotone contractive random dynamical systems it is proven that the random attractor consists of a single random point in case of real linear multiplicative noise finite time extinction is obtained applications include stochastic generalized fast diffusion equations and stochastic generalized singular p laplace equations perturbed by levy noise with jump measure having finite first and second moments

on the strongly damped wave equation we prove the existence of the universal attractor for the strongly damped semilinear wave equation in the presence of a quite general nonlinearity of critical growth when the nonlinearity is subcritical we prove the existence of an exponential attractor of optimal regularity having a basin of attraction coinciding with the whole phase space as a byproduct the universal attractor is regular and of finite fractal dimension moreover we carry out a detailed analysis of the asymptotic behavior of the solutions in dependence of the damping coefficient

one dimensional random attractor and rotation number of the stochastic damped sine gordon equation abstract this paper is devoted to the study of the asymptotic dynamics of the stochastic damped sine gordon equation with homogeneous neumann boundary condition it is shown that for any positive damping and diffusion coefficients the equation possesses a random attractor and when the damping and diffusion coefficients are sufficiently large the random attractor is a one dimensional random horizontal curve regardless of the strength of noise hence its dynamics is not chaotic it is also shown that the equation has a rotation number provided that the damping and diffusion coefficients are sufficiently large which implies that the solutions tend to oscillate with the same frequency eventually and the so called frequency locking is successful

tempered random attractors for parabolic equations in weighted spaces this paper deals with the asymptotic behavior of solutions of parabolic equations on unbounded domains which contain stochastic terms as well as non autonomous deterministic terms we define a continuous random dynamical system for the equations in weighted sobolev spaces that allow functions to have certain polynomial growth rate at infinity and hence include all bounded solutions we prove pullback asymptotic compactness of solutions as well as the existence and uniqueness of tempered random attractors in the weighted spaces the structures of the tempered attractors are fully characterized by tempered complete solutions in the case where the non autonomous deterministic terms are periodic in time we show that the tempered random attractors are also periodic in time to overcome the difficulty of non compactness of sobolev embeddings on unbounded domains the idea of uniform pathwise estimates on the tails of solutions is employed to show asymptotic compactness

global attractors for wave equations with nonlinear interior damping and critical exponents abstract in this paper we study the global attractors for wave equations with nonlinear interior damping we prove the existence regularity and finite dimensionality of the global attractors without assuming a large value for the damping parameter when the growth of the nonlinear terms is critical

wave equations with memory the minimal state approach abstract recently in m conti et al 2010 6 and m fabrizio et al 2010 12 a new theoretical scheme has been developed in order to study equations with memory the so called minimal state approach the aim of this work is to provide the technical body needed to study the asymptotic behavior of semilinear integro differential equations of hyperbolic type in the novel framework

assessing a set of additive utility functions for multicriteria decision making the uta method abstract the purpose of the method presented in this paper is to assess additive utility functions which aggregate multiple criteria in a composite criterion using the information given by a subjective ranking on a set of stimuli or actions weak order comparison judgments and the multicriteria evaluations of these actions it is an ordinal regression method using linear programming to estimate the parameters of the utility function stability and sensitivity analysis leads to the assessment of a set of utility functions by means of post optimality analysis techniques in linear programming finally a simple illustrative example is presented and some extensions of the method are proposed

attractors for random dynamical systems a criterion for existence of global random attractors for rds is established existence of invariant markov measures supported by the random attractor is proved for spde this yields invariant measures for the associated markov semigroup the results are applied to reation diffusion equations with additive white noise and to navier stokes equations with multiplicative and with additive white noise

attractors for reaction diffusion equations in unbounded domains abstract in this paper we study the asymptotic behaviour of solutions for parabolic non linear evolution equations in r n we prove the asymptotic compactness of the solutions and then establish the existence of the global attractor in l 2 r n

a random attractor for a stochastic second order lattice system with random coupled coefficients abstract in this paper we mainly focus on the asymptotic behavior of solutions to the second order stochastic lattice equations with random coupled coefficients and multiplicative white noises in weighted spaces of infinite sequences we first transfer stochastic lattice equations into random lattice equations and prove the existence and uniqueness of solutions which generate a random dynamical system second we consider the existence of a tempered random bounded absorbing set and a random attractor for the system then we establish the upper semicontinuity of random attractors as the coefficient of the white noise term tends to zero finally we present the corresponding results for the system with additive white noises

existence of random attractors for weakly dissipative plate equations with memory and additive white noise in this paper we prove the existence of random attractors for the continuous random dynamical systems generated by stochastic weakly dissipative plate equations with linear memory and additive white noise by defining the energy functionals and using the compactness translation theorem

random attractors for damped non autonomous wave equations with memory and white noise abstract we first prove the existence of random attractors for the continuous random dynamical systems generated by stochastic damped non autonomous wave equations with linear memory and additive white noise when the nonlinearity has a critically growing exponent then we study the upper semicontinuity of random attractors when the coefficient of random term approaches zero

on the dimension of the global attractor for the damped sine gordon equation this article gives a more precise estimate on the dimension of the global attractor for the damped sine gordon equation the gained hausdorff dimension remains small for large damping which conforms to physics

long time random dynamics of stochastic parabolic p laplacian equations on rn abstract in this article we study the long time random dynamics of non autonomous stochastic parabolic p laplacian equations driven by a wiener type multiplicative noise by a new asymptotic a priori estimate method not involving the plus or minus sign of the nonlinearity the omega limit compact of solutions in l p r n l q r n is proved for any p q 2 and n 1 where q is the polynomial growth exponent of the nonlinearity if 2 p n by a boot strap technique we obtain the higher order integrability of difference of solutions near the initial time as an application we show that the obtained l 2 random attractor is attracting in the topology of l 2 r n for any 0

application of volterra wiener series for bounding the overall conductivity of hetergeneous media i general procedure a general method of placing optimal bounds on the overall conductivity of random heterogeneous media is proposed it utilizes truncated volterra wiener functional series generated by the random conductivity field k x as classes of trial functions for the classical variational principles the method simplifies unifies and or generalizes the earlier proposed variational techniques of beran 3 dederichs and zeller 10 hori 15 kr6ner 17 and prager 25 the general procedure is displayed in detail in the simplest case of interest the construction of the optimal third order bounds that requires knowledge of the two and three point correlation functions for k x the evaluation of these bounds is reduced to the solution of an integrodifferential equation whose coefficients and kernels are expressed through the said correlation functions a perturbation solution to this equation is given for miller s cell materials the equation is explicitly solved and the obtained optimal bounds are shown to coincide with those of beran miller

upper semicontinuity of attractors of stochastic delay reaction diffusion equations in the delay a system of stochastic delayed reaction diffusion equations with multiplicative noise and deterministic non autonomous forcing is considered we first prove the existence and uniqueness of a bi spatial pullback attractor for these equations when the initial space is c 0 l2o and the terminate space is c 0 h01o the asymptotic compactness of solutions in c 0 h01o is established by combining positive and negative truncations technique and some new estimates on solutions then the periodicity of the random attractors is proved when the stochastic delay equations are forced by periodic functions finally upper semicontinuity of the global random attractors in the delay is obtained as the length of time delay approaches zero a system of stochastic delayed reaction diffusion equations with multiplicative noise and deterministic non autonomous forcing is considered we first prove the existence and uniqueness of a bi spatial pullback attractor for these equations when the initial space is c 0 l2o and the terminate space is c 0 h01o the asymptotic compactness of solutions in c 0 h01o is established by combining positive and negative truncations technique and some new estimates on solutions then the periodicity of the random attractors is proved when the stochastic delay equations are forced by periodic functions finally upper semicontinuity of the global random attractors in the delay is obtained as the length of time delay approaches zero

limiting dynamics for stochastic wave equations abstract in this paper relations between the asymptotic behavior for a stochastic wave equation and a heat equation are considered by introducing almost surely d contracting property for random dynamical systems we obtain a global random attractor of the stochastic wave equation u t t u t u f u w endowed with dirichlet boundary condition for any 0 1 the upper semicontinuity of this global random attractor and the global attractor of the heat equation z t z f z 0 with dirichlet boundary condition as goes to zero is investigated furthermore we show the stationary solutions of the stochastic wave equation converge in probability to some stationary solution of the heat equation

dimension of the global attractor for damped semilinear wave equations with critical exponent we obtain an estimate of the upper bound of the hausdorff dimension of the global attractor for damped semilinear wave equations with a critical exponent the obtained hausdorff dimension decreases as the damping grows for large damping

an interactive approach for placing alternatives in preference classes abstract in this paper we consider the multiple criteria decision making problem of partitioning alternatives into preference classes we develop an interactive procedure based on the assumption that the decision maker dm has a linear utility function the approach requires the dm to place an alternative in a preference class from time to time based on the preference information derived from the dm s placement as well as from dominance and linearity we try to place other alternatives we present results on the performance of the algorithm applied to four different sets of alternatives

fuzzy set and probabilistic techniques for health risk analysis a brief review of three non fuzzy set techniques available for performing risk analysis under uncertainty probabilistic error propagation bayesian analysis and the shannon entropy is given using health risk assessment to illustrate the approach the advantages and difficulties in applying each of these techniques are pointed out next a fourth technique is developed in some detail namely the fuzzy set analysis of risk here a given risk analysis problem evaluated under different sets of hypotheses may yield different fuzzy numbers which can then be combined and compared the elements of the methodology which may be considered as an extension of interval analysis are fuzzy numbers and operations including their ranking fuzzy regression to model a dose response relationship locating two dimensional fuzzy numbers for risk management and combining and ranking fuzzy risk estimates

building a set of additive value functions representing a reference preorder and intensities of preference grip method we present a method called generalized regression with intensities of preference grip for ranking a finite set of actions evaluated on multiple criteria grip builds a set of additive value functions compatible with preference information composed of a partial preorder and required intensities of preference on a subset of actions called reference actions it constructs not only the preference relation in the considered set of actions but it also gives information about intensities of preference for pairs of actions from this set for a given decision maker dm distinguishing necessary and possible consequences of preference information on the considered set of actions grip answers questions of robustness analysis the proposed methodology can be seen as an extension of the uta method based on ordinal regression grip can also be compared to the ahp method which requires pairwise comparison of all actions and criteria and yields a priority ranking of actions as for the preference information being used grip can be compared moreover to the macbeth method which also takes into account a preference order of actions and intensity of preference for pairs of actions the preference information used in grip does not need however to be complete the dm is asked to provide comparisons of only those pairs of reference actions on particular criteria for which his her judgment is sufficiently certain this is an important advantage comparing to methods which instead require comparison of all possible pairs of actions on all the considered criteria moreover grip works with a set of general additive value functions compatible with the preference information while other methods use a single and less general value function such as the weighted sum

on the dimension of the global attractor for a damped semilinear wave equation with critical exponent we obtain in this paper a precise estimate of upper bound of the hausdorff dimension of the global attractor for a damped semilinear wave equation with critical exponent the obtained hausdorff dimension decreases as the damping grows and is uniformly bounded for large damping which conforms to physical intuition the obtained results generalize and correct the corresponding results obtained by zhou recently

application of volterra wiener series for bounding the overall conductivity of heterogeneous media ii suspensions of eui sized spheres the variational procedure of part i of this paper this journal 47 1987 pp 831 849 is employed for bounding the overall conductivity k of a suspension of equi sized spheres the procedure uses classes of trial functions in the form of truncated volterra wiener series generated here by the random density function of the system of sphere centers integrodifferential equations are derived whose solutions yield bounds upper and lower on k for given two and three point distribution functions f2 f3 of the system of spheres the bounds are explicitly calculated to the order c2 where c is the volume fraction of the spheres they include a statistical parameter m2 that can be simply evaluated by means of the two point distribution function f2 and that reflects the tendency of the spheres to form clusters at higher c the predictions of various approximate models of composite mechanics are checked against the c2 bounds the check yields a number of curious results concerning the random constitution of suspensions of impenetrable spheres that can be described by means of these models in this paper we develop the technique of the volterra wiener series for bounding the overall conductivity in random suspensions of equi sized spheres in 6 we describe the statistics of such suspensions by means of the multipoint distribution functions f for the system of sphere centers in 7 the two and three point moments correlation functions m and m3 of the random conductivity field k x of the suspension are explicitly expressed by f2 and f3 in 8 the variational procedure of i 2 is slightly modified and an integrodifferential equation is derived whose solution leads to an upper bound k 3 on the overall conductivity that depends on f2 and f3 only in 9 a virial solution to this equation is given and the bound k 3 is explicitly calculated to the order c2 for a wide class of suspensions denoted here by a the bound includes a positive scalar parameter m2 that depends on the two point function f2 in 10 the lower bound to the order c2 is given for the same class of suspensions s it includes again the parameter m2 the so obtained c2 bounds are not optimal for f2 given because additional statistical information is tacitly employed when restricting the analysis to the class a the bounds however coincide to the order k 3 in 11 a simple formula for the statistical parameter m2 is derived and it is calculated for certain kinds of sphere distribution an interpretation of m2 is also proposed in 12 certain known results and approximations that have been proposed to evaluate k are compared with the bounds in order to establish the range of applicability of the former in this way it appears possible to extract some nontrivial statistical information about the kind of random suspensions for which the reviewed models of mechanics of composite materials can be employed when predicting the overall conductivity

the existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional brownian motion abstract in this paper we investigate the existence uniqueness and exponential asymptotic behavior of mild solutions to stochastic delay evolution equations perturbed by a fractional brownian motion b q h t d x t a x t f t x t d t g t d b q h t with hurst parameter h 1 2 1 we also consider the existence of weak solutions

sufficient and necessary criteria for existence of pullback attractors for non compact random dynamical systems abstract we study pullback attractors of non autonomous non compact dynamical systems generated by differential equations with non autonomous deterministic as well as stochastic forcing terms we first introduce the concepts of pullback attractors and asymptotic compactness for such systems we then prove a sufficient and necessary condition for existence of pullback attractors we also introduce the concept of complete orbits for this sort of systems and use these special solutions to characterize the structures of pullback attractors for random systems containing periodic deterministic forcing terms we show the pullback attractors are also periodic under certain conditions as an application of the abstract theory we prove the existence of a unique pullback attractor for reaction diffusion equations on r n with both deterministic and random external terms since sobolev embeddings are not compact on unbounded domains the uniform estimates on the tails of solutions are employed to establish the asymptotic compactness of solutions

on dimension of the global attractor for damped nonlinear wave equations in this paper we obtain a more precise estimate of upper bound of the hausdorff dimension of the global attractor for damped nonlinear wave equations with the dirichlet boundary condition the obtained hausdorff dimension decreases as the damping grows and is uniformly bounded for large damping which conforms to physical intuition

dimension of kernel sections for damped nonautonomous wave equations with critical exponent in this paper by using the boundedness of kernel sections in higher regular space we obtain an uniform upper bound of hausdorff dimension of the kernel sections for damped nonautonomous wave equation when the nonlinearity has a critically growing exponent which improves the previous estimate of hausdorff dimension of the kernel sections

asymptotic behavior for non autonomous fractional stochastic ginzburg landau equations on unbounded domains in this paper we first prove the existence and uniqueness of tempered pullback random attractors for a non autonomous stochastic fractional ginzburg landau equation driven by multiplicative noise with 0 1 in l2r3 then we obtain the upper semicontinuity of random attractors when the intensity of noise approaches zero due to the lack of the compactness of sobolev embeddings on unbounded domains we establish the pullback asymptotic compactness of solutions in l2 r3 by the tail estimates of solutions

asymptotic behavior of stochastic discrete wave equations with nonlinear noise and damping in this article we study the asymptotic behavior for a class of discrete wave equations with nonlinear noise and damping defined on a k dimensional integer set the well posedness of the system is established when the nonlinear drift function and the nonlinear diffusion term are only locally lipschitz continuous the mean random dynamical system associated with the non autonomous system is shown to possess a unique tempered weak pullback mean random attractor in l2 f l2 l2 the existence of invariant measures for the autonomous system is also derived by using the krylov bogolyubov method the difficulty in proving the tightness of a family of distribution laws of the solutions is overcome by using the idea of uniform estimates on the tails of solutions

asymptotic behavior of stochastic wave equations with critical exponents on mathbb r 3 the existence of a random attractor in h 1 3 x l 2 3 is proved for the damped semilinear stochastic wave equation defined on the entire space 3 the nonlinearity is allowed to have a cubic growth rate which is referred to as the critical exponent the uniform pullback estimates on the tails of solutions for large space variables are established the pullback asymptotic compactness of the random dynamical system is proved by using these tail estimates and the energy equation method

random dynamics of stochastic p laplacian equations on rn with an unbounded additive noise abstract this article is concerned with the random dynamics of solutions of the non autonomous parabolic p laplacian equations on r n driven by an unbounded additive noise where the nonlinearity has a p q growth exponents including the general polynomial type functions firstly by using an inductive method we establish the higher order integrability of difference of solutions near the initial time for arbitrary space dimension secondly based on this very estimate the asymptotical compactness of solutions in l p r n l q r n for any p q 2 is proved by a new technique instead of the usual truncation estimate method and then we obtain the existence of pullback attractor in l p r n l q r n for p laplacian equations with an unbounded additive noise thirdly we prove that the obtained l 2 pullback attractor is attracting and translation bounded in l r n topology for any 2 and arbitrary space dimension n n 1

transportation investment project selection using fuzzy multiobjective programming abstract this paper proposes the fuzzy multiobjective programming for the problem of transportation investment project selection tips the programming then uses the fuzzy spatial algorithm which calculates the performance of objective achievement and the requirement of resource utilization as of fuzziness under a complex and uncertain decision making environment there exists a certain degree of interdependence among these transportation investment projects this paper uses expert evaluation and conducts respectively with the consensus of most of the experts the decision on interdependency type complementary and substitutive and on the degree of fuzzy interdependence in every iteration of the fuzzy spatial algorithm the method of ranking fuzzy numbers must be used so as to obtain the ranking for selecting investment projects this paper has modified the method provided by kim and park in order that the preference of most of the decision makers or experts can be overlooked since the degree of optimism or pessimism can be demonstrated in the profitability of every investment project in the end this paper will employ a numerical example to illustrate the method forwarded

effective conductivity of a two dimensional medium containing elliptical inhomogeneities two effective medium theories the maxwell method and the differential method are used to estimate the effective conductivity of a two dimensional medium consisting of a random distribution of elliptical inclusions in an otherwise homogeneous matrix results are found for arbitrary values of the matrix inclusion conductivity ratio and arbitrary values of the inclusion aspect ratio both predictions are shown to satisfy keller s reciprocity relation the differential prediction is found always to lie within the hashin shtrikman bounds whereas the maxwell prediction typically violates the bounds for sufficiently large inclusion concentrations comparison with three sets of experimental numerical data shows that both theories offer an improvement over the first order dilute concentration results however it does not seem that either method is superior to the other in general furthermore neither method is reliable near the percolation limit

a way to deal with fuzzy preferences in multi criteria decision problems this paper presents a special multiple criteria decision making approach for solving problems in context with fuzzy individual preferences at first we briefly expose the proposed methodology the individual preferences are explicitly given by a complete transitive relation r on a set of reference actions the modelling of the decision maker s preferences is obtained by means of fuzzy outranking relations these fuzzy relations are based on a system of additive utility functions which are estimated by means of ordinal regression methods analysing the preference relation r this is followed by a presentation of two real multicriteria problems which the proposed methodology has been applied to i e a highway plan choice problem and a problem in marketing research dealing with the launching of a new product in each application we tried to specify this method according to the specific structure of the problem considered

random attractors for stochastic reaction diffusion equations on unbounded domains the existence of a pullback attractor is established for a stochastic reaction diffusion equation on all n dimensional space the nonlinearity is dissipative for large values of the state and the stochastic nature of the equation appears as spatially distributed temporal white noise the reaction diffusion equation is recast as a random dynamical system and asymptotic compactness for this is demonstrated by using uniform a priori estimates for far field values of solutions

existence and upper semicontinuity of random attractors for non autonomous fractional stochastic ginzburg landau equations this paper deals with the dynamical behavior of solutions for nonautonomous stochastic fractional ginzburg landau equations driven by multiplicative noise with 0 1 we first transform the stochastic equation into a random equation the solutions of which generate a random dynamical system consequently we establish the existence and uniqueness of tempered pullback random attractors for the equations in a bounded domain finally we obtain the upper semicontinuity of random attractors when the intensity of noise approaches zero

characteristic exponents for a viscous fluid subjected to time dependent forces we consider a viscous incompressible fluid enclosed in a bounded region of 2 or 3 and subjected to time dependent forces using bound state estimates for the schrodinger operator we obtain rigorous bounds for the characteristic exponents entropy kolmogorov sinai invariant and hausdorff dimension of attracting sets our methods are of potential use for more general time evolutions described by nonlinear partial differential equations

dynamical behavior of non autonomous fractional stochastic reaction diffusion equations abstract in this paper we investigate the asymptotic behavior of solutions for the non autonomous fractional stochastic reaction diffusion equations driven by multiplicative noise with s 0 1 we prove the existence and uniqueness of tempered pullback random attractors for the equations in a bounded domain u by the compactness of sobolev embedding h s u l 2 u which is different from the previous work 46