带有限度（λ,μ）的Fuzzy带算子群和Fuzzy带算子环

发布时间：2018-03-31 20:21

本文选题：限度(λ　切入点：μ)　出处：《青岛科技大学》2017年硕士论文

【摘要】：本文将Fuzzy群和Fuzzy环理论进行了推广,给出了带有限度(λ,μ)的Fuzzy带算子群、直觉Fuzzy带算子群、Fuzzy带算子环和直觉Fuzzy带算子环的概念,并讨论了它们的一些基本性质.本文主要结果如下:1.提出了带有限度(λ,μ)的Fuzzy带算子群、带算正规子群和带算商群的定义,讨论它们的一些基本性质,并在M-群同态的意义下,研究了带有限度(λ,μ)的Fuzzy带算子群(带算正规子群)的同态像及其逆像.2.提出了带有限度(λ,μ)的直觉Fuzzy带算子群和带算正规子群的定义,讨论它们的一些基本性质,并在M-群同态的意义下,研究了带有限度(λ,μ)的直觉Fuzzy带算子群(带算正规子群)的同态像及其逆像.3.提出了带有限度(λ,μ)的Fuzzy带算子环、带算理想和带算商环的定义,讨论它们的一些基本性质,并在M-环同态的意义下,研究了带有限度(λ,μ)的Fuzzy带算子环(带算理想)的同态像及其逆像.4.提出了带有限度(λ,μ)的直觉Fuzzy带算子环和直觉Fuzzy带算理想的定义,讨论它的一些基本性质,并在M-环同态的意义下,研究了带有限度(λ,μ)的直觉Fuzzy带算子环(带算理想)的同态像及其逆像.
[Abstract]:In this paper, the theory of Fuzzy group and Fuzzy ring is generalized, and the concepts of Fuzzy band operator group with limit (位, 渭), intuitionistic Fuzzy band operator group with fuzzy band operator ring and intuitionistic Fuzzy band operator ring are given. Some basic properties of them are discussed. The main results are as follows: 1. The definitions of Fuzzy band operator groups with limits (位, 渭), regular subgroups with computations and quotient groups with computations are proposed, and some basic properties of these groups are discussed, and in the sense of homomorphism of M-groups, The homomorphic image and inverse image of Fuzzy band operator group (with normal subgroup) with limit (位, 渭) are studied. The definitions of intuitionistic Fuzzy band operator group and normal subgroup with limit (位, 渭) are proposed, and some basic properties of them are discussed. In the sense of homomorphism of M-group, the homomorphism image and inverse image of intuitionistic Fuzzy band operator group with limit (位, 渭) are studied. The definitions of Fuzzy band operator ring with limit (位, 渭), band computational ideal and quotient ring are proposed. Some basic properties of them are discussed, and in the sense of M-ring homomorphism, In this paper, the homomorphism image of Fuzzy band operator ring with limit (位, 渭) and its inverse image. 4. The definitions of intuitionistic Fuzzy band operator ring and intuitionistic Fuzzy band computational ideal with limit (位, 渭) are studied, and some basic properties of them are discussed. In the sense of homomorphism of M-ring, the homomorphic image and inverse image of intuitionistic Fuzzy ring with operator ring with limit (位, 渭) are studied.
【学位授予单位】：青岛科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O177

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