Generalized fuzzy Hv-submodules endowed with interval valued membership functions

Authors:
B. Davvaz;Jianming Zhan;K. P. Shum
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran;Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, PR China;Department of Mathematics, Hong Kong University, Pofulam Road, Hong Kong (SAR), PR China
Venue:
Information Sciences: an International Journal
Year:
2008

Citing 18
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Abstract

We introduce the concept of an interval valued (@a,@b)-fuzzy H"v-submodule of an H"v-module. This concept is a generalization of a fuzzy H"v-submodule of an H"v-module. In the paper, we investigate interval valued (@?,@?@?q)-fuzzy H"v-submodules and present some structural results. We also consider such H"v-submodules endowed with an implicative operation. Some related results recently obtained by Davvaz, Dudek, Corsini and Jun on H"v-submodules are extended.