(λ,μ)-直觉模糊素理想

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英文篇名：(λ,μ)-Intuitionistic Fuzzy Prime Ideal 作者：陈奕娟 ; 张诚一 英文作者：CHEN Yi-juan;ZHANG Cheng-yi;College of Mathematics and Statistics, Hanshan Normal University;College of Mathematics and Statistics, Hainan Normal University; 关键词：(λ ; μ)-截集 ; (λ ; μ)-直觉模糊理想 ; (λ ; μ)-直觉模糊素理想 英文关键词：(λ,μ)-cut set;;(λ,μ) intuitionistic fuzzy ideal;;(λ,μ) intuitionistic prime ideal 中文刊名：HSSC 英文刊名：Journal of Hanshan Normal University 机构：韩山师范学院数学与统计学院;海南师范大学数学与统计学院; 出版日期：2017-06-15 出版单位：韩山师范学院学报 年：2017 期：v.38;No.149 基金：国家自然科学基金项目(项目编号:No.71361008) 语种：中文; 页：HSSC201703005 页数：4 CN：03 ISSN：44-1423/G4 分类号：29-31+88

摘要

给出了(λ,μ)-直觉模糊素理想的两种定义,并证明了这两种定义的等价性,同时基于给出的定义,讨论了(λ,μ)-直觉模糊素理想的一些相关性质.
        In this paper, the two concepts of(λ, μ)-intuitionistic fuzzy prime ideal are described, and the equivalence of two definitions is proved. Some properties of fuzzy primary ideals are given by the new definition.

引文

[1]ZADEH L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353.
    [2]ROSENFELDA.Fuzzygroups[J].J.Math.Anal.Appl,1971,35(3):512-517.
    [3]LIU Wangjin.Fuzzy invariant subgroups and fuzzy ideals[J].Fuzzy Sets and Systems,1982,8(2):133-139.
    [4]LIU Wangjin.Operations on fuzzy ideals[J].Fuzzy Sets and Systems,1983,11(1/2/3):31-39.
    [5]ZHANG Chengyi.Fuzzy prime ideals and prime fuzzy ideals[J].Fuzzy Sets and Systems,1998,94(2):247-251.
    [6]ATANASSOV K.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20:87-96.
    [7]BANERJEE B,DHIREN K,BASENT R.Intuitionistic fuzzy subrings and ideals[J].The Journal of Fuzzy Mathematics,2003,11(1):139-I55.
    [8]李娟,牛錡,张诚一.直觉模糊子环及其同构[J].模糊系统与数学,2009,23(2):98-105.
    [9]姜曼,辛小龙.(λ,μ)直觉模糊子环(理想)[J].模糊系统与数学,2013,27(1):1-8.
    [10]刘文华.直觉Fuzzy集的基本定理[J].工科数学,2000,16(1):55-60.
    [11]姚炳学,孙玉真,张诚一.半群中的(λ,μ)-模糊素理想与(λ,μ)-模糊准素理想[J].模糊系统与数学,2010,24(5):31-36.
    [12]张诚一.fuzzy子环的商环与直和[J].模糊系统与数学,1993,7(1):93-100.