(∈,∈ Vq)-模糊软格

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英文篇名：(∈,∈ Vq)-fuzzy Soft Lattices 作者：刘春辉 ; 何涛 ; 姜志廷 英文作者：LIU Chun-hui;HE Tao;JIANG Zhi-ting;Department of Mathematics and Statistics,Chifeng University;Department of Computer and Information Engineering,Chifeng University; 关键词：格 ; (∈ ; ∈Vq)-模糊软格 ; (∈ ; ∈Vq)-模糊软子格 ; 模糊软同态 英文关键词：lattice;;(∈,∈Vq)-fuzzy soft lattice;;(∈,∈Vq)-fuzzy soft sublattice;;fuzzy soft homomorphism 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：赤峰学院数学与统计学院;赤峰学院计算机与信息工程学院; 出版日期：2017-07-08 出版单位：数学的实践与认识 年：2017 期：v.47 基金：国家自然科学基金(10371106,60774073) 语种：中文; 页：SSJS201713029 页数：7 CN：13 ISSN：11-2018/O1 分类号：228-234

摘要

将模糊软集的概念与格相结合,引入了(∈,∈Vq)-模糊软格和(∈,∈Vq)-模糊软格的(∈,∈Vq)-模糊软子格的概念,给出了它们的若干代数性质.定义了格的模糊软同态概念,证明了(∈,∈Vq)-模糊软格在格的一个模糊软同态下的像与原像仍为(∈,∈Vq)-模糊软格的结论.
        The concepts of(∈,∈Vq)-fuzzy soft lattices and(∈,∈Vq)-fuzzy soft sublattices of a(∈,∈Vq)-fuzzy soft lattice are introduced by combining fuzzy soft sets and lattices.Some algebraic properties of them are given.The notion of fuzzy soft homomorphism of lattices is defined.It's proved that the homomorphism images and inverse images of a(∈,∈Vq)-fuzzy soft lattice are also(∈,∈Vq)-fuzzy soft lattice.

引文

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