2001•Mohu xitong yu shuxueRequires access

Fuzzy Homomorphism of Groups and Isomorphism Theorems of Fuzzy Quotient Groups

Yao Bing

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Abstract

The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given. Then several isomorphism theorems of fuzzy quotient groups are established.

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What this paper is about

The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given. Then several isomorphism theorems of fuzzy quotient groups are established.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given. Then several isomorphism theorems of fuzzy quotient groups are established.

Key concepts: Homomorphism, Mathematics, Isomorphism theorem, Isomorphism (crystallography), Quotient, Fuzzy logic, Quotient group, Algebra homomorphism

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