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On Fuzzy Deductive Systems Of Pseudo Mtl Logical Algebras

Zi-Wei Ma,Kuan-Kuan Zhao, Hui Ning,Pan Zhang,Wei Wang

UNCERTAINTY MODELLING IN KNOWLEDGE ENGINEERING AND DECISION MAKING（2016）

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Abstract
We introduce the concept of fuzzy deductive systems of pseudo MTL logical algebras and investigate properties of fuzzy deductive systems, fuzzy Boolean deductive systems, fuzzy prime deductive systems, fuzzy maximal deductive systems and fuzzy loyal deductive systems and discuss the relations among the above fuzzy deductive systems.
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Key words
non-commutative logical algebras, pseudo MTL logical algebras, fuzzy Boolean deductive systems, fuzzy normal deductive systems
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