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Algebraic Kripke-style Semantics for an Extension of HpsUL, CnHpsUL

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This paper deals with Kripke-style semantics for weakening-free non-commutative fuzzy logics. As an example, we consider an algebraic Kripke-style semantics for an extension of the pseudo-uninorm based fuzzy logic HpsUL, CnHpsUL*. For this, first, we recall the system CnHpsUL*, define its corresponding algebraic structures CnHpsUL*-algebras, and algebraic completeness results for it. We next introduce a Kripke-style semantics for CnHpsUL*, and connect it with algebraic semantics.

Abstract

This paper deals with Kripke-style semantics for weakening-free non-commutative fuzzy logics. As an example, we consider an algebraic Kripke-style semantics for an extension of the pseudo-uninorm based fuzzy logic HpsUL, CnHpsUL*. For this, first, we recall the system CnHpsUL*, define its corresponding algebraic structures CnHpsUL*-algebras, and algebraic completeness results for it. We next introduce a Kripke-style semantics for CnHpsUL*, and connect it with algebraic semantics.

참고문헌 (27)

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