A New View on Fuzzy Hypermodules

作     者：Jian Ming ZHAN Bijan DAVVAZ K. P. SHUM 

作者机构：Department of Mathematics Hubei Institute for Nationalities Enshi 445000 P. R. China Department of Mathematics Yazd University Yazd Iran Faculty of Science The Chinese University of Hong Kong Shatin Hong Kong (SAR) P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第8期

页      面：1345-1356页

核心收录：

学科分类：01[哲学] 0101[哲学-哲学] 010104[哲学-逻辑学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(60474022) the Key Science Foundation of Education Commission of Hubei Province, China (D200729003 D200529001) the research of the third author is partially supported by an RGC grant (CUHK) #2060297(05/07) 

主　　题：hypermodule interval-valued (α,β)-fuzzy sub-hypermodule interval-valued (∈ ∈ Vq)- fuzzy sub-hypermodule fuzzy logic implication operator 

摘      要：We describe the relationship between the fuzzy sets and the algebraic hyperstructures. In fact, this paper is a continuation of the ideas presented by Davvaz in （Fuzzy Sets Syst., 117： 477- 484, 2001） and Bhakat and Das in （Fuzzy Sets Syst., 80： 359-368, 1996）. The concept of the quasicoincidence of a fuzzy interval value with an interval-valued fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of a fuzzy point in fuzzy sets. By using this new idea, the concept of interval-valued （α,β）-fuzzy sub-hypermodules of a hypermodule is defined. This newly defined interval-valued （α,β）-fuzzy sub-hypermodule is a We shall study such fuzzy sub-hypermodules and sub-hypermodules of a hypermodule. generalization of the usual fuzzy sub-hypermodule. consider the implication-based interval-valued fuzzy