Fuzzy Hv-ideals in Γ-Hv-rings

Authors:
Bijan Davvaz;Jianming Zhan;Yunqiang Yin
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran;Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, China;College of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 18
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Abstract

In this paper, by means of a kind of new idea, we consider the (@?,@?@?q)-fuzzy H"v-ideals of a @C-H"v-ring. The concept of @C-H"v-rings, which is a generalization of @C-rings and H"v-rings, is introduced. The notion of (@?,@?@?q)-fuzzy H"v-ideals of a @C-H"v-ring is provided and some related properties are investigated. The concept of implication-based fuzzy H"v-ideals of a @C-H"v-ring is studied, in particular, the implication operators in the Lukasiewicz system of continuous-valued logic are discussed. Finally, the homomorphism of (@?,@?@?q)-fuzzy H"v-ideals of a @C-H"v-ring is explored.