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Timestamp: 2019-04-19 07:25:18+00:00

Document:
TATIANA NANEVA	- Decision Theory.
Scientific area: Development of algorithms for multicriteria decision making in fuzzy environment.
Applied area: Application of innovation information technologies in wind turbine electro – generator fields design and risk evaluation.
The Department actively participates in National R&D projects and presents the results in international and national journals and conferences.
Research Project, No 010077/2007, funded by the Bulgarian Academy of Sciences (2007-2009) - Investigations of decision making models in fuzzy environment	The purpose of this project is directed towards researching and developing of models for decision making support in multicriteria problems under uncertainties from fuzzy type. The models simulate (approximate) human decision making by means of applying one of the basic elements of soft computing – fuzzy logic and more precisely – the fuzzy sets theory. Multicriteria fuzzy decision making problems are considered in cases of fuzziness present in initial information and at the stages of problem solution.
Research Project, funded by the Bulgarian Academy of Sciences (2004-2006), Robust stability of dynamic parametric systems"
1996 – date “Systèmes linéaires de commande”, Technical University, Sofia.
Konstantinov M., P. Petkov, I. Popchev, V. Angelova: Perturbation bounds for the matrix equation . - Comptes rendues de l’Académie bulgare des Sciences, Mathématiques, Mathématiques appliqués, vol. 61, No 9, pp. 1111-1120, 2008.
Konstantinov M., P. Petkov, I. Popchev, V. Angelova: On the sensitivity of the matrix equation XA - AX = X2. Cybernerics and Information Technologies, vol. 2, pp. 3-11, 2008.
Savov, S., I.Popchev. New upper bounds for the CALE: A singular decomposition approach. - International Journal of Control and Automation Systems, vol. 6, No 2, pp.288-294, 2008, ISSN: 1598-6446.
Savov, Sv., I. Popchev. New generalized upper trace bound for the solution of the Lyapunov equation. - Int. J. Pure and Appl. Math., vol. 49, No. 3, 2008, pp. 381-389.
Savov, S., I.Popchev. On the degree of polynomial in the uncertainty valid Lyapunov functions for polytopic systems. - Compt. Rend. Acad. Bulg. Sci., vol. 61, No 10, pp.1335-1338, 2008, ISSN: 1310-1331.
Popchev, I., I. Radeva, A Decision Support Method for Investment Preference Evaluation, - “Cybernetics and Information Technologies”, vol. 1, 2006, p. 3–16.
Angelova, V., M. Konstantinov. P. Petkov, I. Popchev: Perturbation analysis for the complex matrix equation . In: Proc. 16th IFAC World Congress Praha 2005, paper 02645, Mo-A01-TP/11.
Savov S., I. Popchev. The continuous algebraic Lyapunov’s equation. Lower and upper matrix bounds. - Compt. Rend. Acad. Bulg. Sci., 58, No 9, 2005, 1039-1042.
Savov S., I. Popchev. Discrete algebraic Lyapunov’s equation. Lower and upper matrix bounds. - Compt. Rend. Acad. Bulg. Sci., 58, No 10, 2005, 1159-1162.
Popchev I., I. Radeva. An Investment Preference Under Incomplete Data. - In: Proceedings DECOM-TT 2004, Automatic Systems for Bulding the Infrastructure in Developing Countries, Regional and Global Aspects (Bansko, Bulgaria October 3-5, 2004), 2004, 243-248.
Savov S., I. Popchev. New Upper Estimates for the Solution of the Continuous Algebraic Lyapunov Equation. - IEEE Transactions on Automatic Control, vol.49, No 10, October, 2004, 1841-1842.
Savov S., I. Popchev. Stability Analysis of Uncertain Matrices via Parametrised Interval System of Equations. - Compt.Rend.Acad.Bulg.Sci., 57, No 6, 2004, 67-70.
Savov S., I. Popchev. On the Stability Analysis on Uncertain Systems via Parameter Dependent Lyapunov Function. - Cybernerics and Information Technologies, vol.4, No 1, 2004, 35-42.
Konstantinov, M., V. Angelova, P. Petkov, D. Gu, V. Tsachouridis. Perturbation bounds for coupled matrix Riccati equations. - Lin. Alg. Appl., 359 (2003), 197-218.
Angelova, V., Matrix calculus in control theory. Expansion and estimation for the matrix power (A+E)-k. - Comptes rendues de l'Academie bulgare des sciences, Technique, Theorie des systemes, 56, No 8, 2003, 35-38.
Angelova, V., Perturbation analysis for the complex linear matrix equation . - Comptes rendues de l'Academie bulgare des sciences, Technique, Theorie des systemes, 56, No 12, 2003, 47-52.
Angelova, V., Perturbation analysis for the matrix equation . In: Ann. Inst. Arch. Genie Civil Geod., 41 (2000-2001),2003, fasc. II Math., 33-41.
Konstantinov, M., V. Angelova, P. Petkov, I. Popchev: Comparison of perturbation bounds for the matrix equation . In: Ann. Inst. Arch. Genie Civil Geod., 41 (2000-2001),2003, fasc. II Math., 75-82.
Savov S. G. and I. Popchev. On the stability problem for a class of uncertain matrices. - Compt. Rend. Acad. Bilg. Sci, 54, No 5, 2003.
Savov S. G. and I. Popchev. Robust stability analysis of continuous-time systems via generalized uncertain Lyapunov's matrices. - Compt. Rend. Acad. Bilg. Sci, 56, No 2, 2003, pp. 55-58.
Savov S. G. and I. Popchev. Unrestricted parameter-dependent Lyapunov's function for robust stability analysis. - Information Technologies and Control, No 1, 2003, pp. 32-38.
Konstantinov, M., V. Angelova, P. Petkov, D. Gu, V. Tsachouridis: Perturbation analysis of coupled matrix Riccati equations. In: Proc. 15 IFAC World Congr., Barcelona 2002, paper 572, T-Tu-E15.
Savov S. G. and I. Popchev. Robust stability of uncertain discrete-time state-space models. - Compt. Rend. Acad. Bulg. Sci, 55, No 6, 2002, pp. 35-38.
Peneva, V., I.Popchev. Fuzzy criteria importance with weighting functions. -Compt. Rend. Acad. Bulg. Sci., 61 (3), 2008, 293-300.
Peneva, V., I.Popchev. Fuzzy criteria importance depending on the membership degrees of fuzzy relations. - Compt. Rend. Acad. Bulg. Sci., 61 (5), 2008, 579-584.
Peneva, V., I.Popchev. Multicriteria decision making based on fuzzy relations. - Cybernetics and Information Technologies 8 (4), 2008, pp. 3-12, ISSN: 1311-9702.
Popchev I., P. Georgieva. A fuzzy approach to solving multicriteria investment problems. In: M. Iskander (Edr), Innovative Techniques in Instruction Technology, E-learning, E-assessment and Education, Springer Science+Business Media B.V., pp. 427-431, 2008,ISBN: 978-1-4020-8738-7.
Peneva, V., I.Popchev. Aggregation of fuzzy relations with fuzzy weighted coefficients. - Advanced Studies in Contemporary Mathematics, 15 (1), 2007, 121-132.
Peneva, V., I.Popchev. Aggregation of fuzzy relations using weighting function. - Compt. Rend. Acad. Bulg. Sci., 60 (10), 2007, 1047-1052.
Peneva, V., I.Popchev. Aggregation of fuzzy relations to multicriteria decision making. - Fuzzy Optimization and Decision Making, 6 (4), Dec. 2007, pp. 351-365.
Popchev I., I. Radeva, Multi-Criteria Scheme for MAP-Cluster Identification. - Problems of Engineering Cybernetics and Robotics, vol. 58, pp. 3-12, 2007 ISSN: 0204-9848.
Peneva V., I. Popchev. Models of decision making support by multicriteria problems in fuzzy environment. - Advanced Studies in Contemporary Mathematics 12 (2), 2006, 291-308.
Peneva V., I. Popchev. Aggregation of fuzzy preference relations by composition. - Compt. Rend. Acad. Bulg. Sci., 59, No 4, 2006, 373-380.
Peneva V., I. Popchev. Weighted transformation in aggregation operators uniting fuzzy relations. - Advanced Studies in Contemporary a Mathematics 10 (1), 2005, 25-44.
Peneva V., I. Popchev. Aggregation of fuzzy preference relations with different importance. - Compt. Rend. Acad. Bulg. Sci., 58, No 5, 2005, 499-506.
Peneva V., I. Popchev. Transformations by parameterized t-norms preserving the properties of fuzzy relations. – Compt.Rend.Acad.Bulg.Sci., 57, No 10, 2004, 9-18.
Peneva V., I. Popchev. Fuzzy Decisions in Soft Computing. - In: Proceedings 2004 2-nd International IEEE Conference "Intelligent Systems" (Varna, Bulgaria, June 22-24, 2004), vol. II, 2004, 606-609.
Peneva V., I. Popchev. Properties of fuzzy relations obtained by aggregation operators. - Compt. Rend. Acad. Bulg. Sci., 56, No 1, 2003, 9-16.
Peneva V., I. Popchev. Weighted aggregation of fuzzy relations. - Compt. Rend. Acad. Bulg. Sci., 56, No 10, 2003, 29-35.
Peneva V., I. Popchev. Properties of the aggregation operators related with fuzzy relations. - Fuzzy Sets and Systems, 139, No 3, 2003, 615-633.
Peneva V., I. Popchev. Fuzzy multicriteria decision making. - Cybernetics and Information Technologies, Bulgarian Academy of Sciences, 2, No 1, 2002, 16-26.
Peneva V., I. Popchev, Sensitivity of fuzzy logic operators. - Compt. Rend. Acad. Bulg. Sci., 55, No 3, 2002, 45-50.
Peneva V., I. Popchev. Aggregation of fuzzy numbers in a decision making situation. - Cybernetics and Systems, 32, No 8, 2001, 821-835.
Peneva V., I.Popchev, Aggregation of fuzzy relations in multicriteria decision making. - Compt. Rend. Acad. Bulg. Sci., 54, No 4, 2001, 47-52.
Stoyanov, St., V. Valkanova, I. Popchev, I. Minov. A scenario-based approach for the creation of a virtual environement for secondary school instruction. - Cybernetics and Information Technologies 8 (3), pp. 86-96, 2008, ISSN: 1311-9702.
Stoyanov, St., I. Ganchev, I. Popchev, M. O’Droma, An approach to the development of infostation-based elearning architectures. - Compt. Rend. Acad. Bulg. Sci., vol. 61, No 9, pp. 1189-1196, 2008, ISSN: 1310-1331.
Stojanov, S., R. Vlahova, Linguistic Database in an Intelligent Portal for Education and Information (“Found in the Net”), In: Proc. of the 6th International Conference Formal Approaches to South Slavic and Balkan Languages, 25-28 September 2008, Dubrovnik, Croatia, pp.115-120, 2008, ISBN 978-953-55375-0-2.
Popchev, I., N. Velinova. Software decision for neutral portfolio of securities, - Cybernetics and Information Technologies, vol. 1, 2005, pp. 14-34.
Stoyanov S., I. Ganchev, I. Popchev, M. O'Droma. "From CBT to e-Learning". - Information Technologies and Control, No 4, 2005, pp 2-10.
Ganchev I., S. Stojanov, M. O'Droma, I. Popchev. Enhancement of DeLC for the Provision of Intelligent Mobile Services. - In: Proceedings 2004 2-nd International IEEE Conference "Intelligent Systems" (Varna, Bulgaria, June 22-24, 2004), vol.I, 2004, 359-364.
Stojanov S., I. Popchev, D.Chaushkova, M.Trendafilova. A Case Based Reasoning Approach for Development of Intelligent Services. - In: Proceedings of CompSysTech'04 the International Conference on computer Systems and Technologies (e-Learnig) (Rousse, Bulgaria, 17-18 June, 2004), 2004, v.7-1 - v.7-7.
Stojanov S., I. Popchev, D.Chaushkova, M.Trendafilova. A Case Based Reasoning Approach for Development of Intelligent Services. – Information Technologies and Control, year II, 2004, No 3, 31-34.
Popchev, I., N. Velinova. Application of Monte Carlo simulation in pricing of options, - Cybernetics and Information Technologies, vol. 2, 2003, pp. 74-91.
Popchev, P., N. Velinova. Software programs and problems at investing options. – Cybernetics and Information Technologies, vol. 2, 2001, pp.34-55.

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