本文選題：限度(λ　切入點(diǎn)：μ)　出處：《青島科技大學(xué)》2017年碩士論文

【摘要】：本文將Fuzzy群和Fuzzy環(huán)理論進(jìn)行了推廣,給出了帶有限度(λ,μ)的Fuzzy帶算子群、直覺(jué)Fuzzy帶算子群、Fuzzy帶算子環(huán)和直覺(jué)Fuzzy帶算子環(huán)的概念,并討論了它們的一些基本性質(zhì).本文主要結(jié)果如下:1.提出了帶有限度(λ,μ)的Fuzzy帶算子群、帶算正規(guī)子群和帶算商群的定義,討論它們的一些基本性質(zhì),并在M-群同態(tài)的意義下,研究了帶有限度(λ,μ)的Fuzzy帶算子群(帶算正規(guī)子群)的同態(tài)像及其逆像.2.提出了帶有限度(λ,μ)的直覺(jué)Fuzzy帶算子群和帶算正規(guī)子群的定義,討論它們的一些基本性質(zhì),并在M-群同態(tài)的意義下,研究了帶有限度(λ,μ)的直覺(jué)Fuzzy帶算子群(帶算正規(guī)子群)的同態(tài)像及其逆像.3.提出了帶有限度(λ,μ)的Fuzzy帶算子環(huán)、帶算理想和帶算商環(huán)的定義,討論它們的一些基本性質(zhì),并在M-環(huán)同態(tài)的意義下,研究了帶有限度(λ,μ)的Fuzzy帶算子環(huán)(帶算理想)的同態(tài)像及其逆像.4.提出了帶有限度(λ,μ)的直覺(jué)Fuzzy帶算子環(huán)和直覺(jué)Fuzzy帶算理想的定義,討論它的一些基本性質(zhì),并在M-環(huán)同態(tài)的意義下,研究了帶有限度(λ,μ)的直覺(jué)Fuzzy帶算子環(huán)(帶算理想)的同態(tài)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.
【學(xué)位授予單位】：青島科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O177

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本文編號(hào)：1692299