2012Jiangnan daxue xuebao. Ziran kexue banRequires access

Fuzzy Boolean Algebras Based on Eight Familiar Kinds of Implication Operator

Chen Hua-xin

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Abstract

Based on the work of Fuzzy Boolean Algebras Based on Implication Operator,present work gives eight kinds of equivalent forms of fuzzy Boolean algebras based on familiar eight kinds of implication operator by using inequalities characterizatian method.This paper promotes the results of the corresponding fuzzy algebra,and enriches riches theoretical results of fuzzy algebra.

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Based on the work of Fuzzy Boolean Algebras Based on Implication Operator,present work gives eight kinds of equivalent forms of fuzzy Boolean algebras based on familiar eight kinds of implication operator by using inequalities characterizatian method.This paper promotes the results of the corresponding fuzzy algebra,and enriches riches theoretical results of fuzzy algebra.

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Available abstract

Based on the work of Fuzzy Boolean Algebras Based on Implication Operator,present work gives eight kinds of equivalent forms of fuzzy Boolean algebras based on familiar eight kinds of implication operator by using inequalities characterizatian method.This paper promotes the results of the corresponding fuzzy algebra,and enriches riches theoretical results of fuzzy algebra.

Key concepts: Stone's representation theorem for Boolean algebras, Free Boolean algebra, Fuzzy logic, Complete Boolean algebra, Mathematics, Algebra over a field, Boolean algebra, Two-element Boolean algebra

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