Generalized fuzzy H(v)-submodules endowed with interval valued membership functions
We introduce the concept of an interval valued (alpha, beta)-fuzzy H(v)-submodule of an H(v)-module. This concept is a generalization of a fuzzy Hv-submodule of an Hv-module. In the paper, we investigate interval valued (is an element of, is an element of vq)-fuzzy H(v)-submodules and present some structural results. We also consider such Hv-submodules endowed with an implicative operation. Some related results recently obtained by Davvaz, Dudek, Corsini and Jun on H(v)-submodules are extended. (c) 2008 Elsevier Inc. All rights reserved.
h(v)-submodule interval valued (alpha, beta)-fuzzy h(v)-submodule h(v)-module interval valued (is an element of,is an element of vq)-fuzzy implication operator fuzzy logic