2015•Journal of Liaocheng UniversityRequires access

θ-Fuzzy Homomorphism of Rings

Zhou Fen

Abstract

Fuzzy homomorphism is one of the important concepts of fuzzy algebra,which can be produced by different fuzzy mappings.This paper uses theθ-fuzzy mapping to give the definition ofθ-fuzzy homomorphism of rings.What's more,it studies the relationships between theθ-fuzzy subrings and theθ-fuzzy ideals and some properties under theθ-fuzzy homomorphism.Finally,this paper establishes the fundamental theorem ofθ-fuzzy homomorphism of rings.

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Available abstract

Key concepts: Homomorphism, Fuzzy logic, Mathematics, Algebra homomorphism, Algebra over a field, Fuzzy subalgebra, Fuzzy mathematics, Discrete mathematics