4.4 Article

Pretabular Fuzzy Logics and Kripke-style Semantics: Nilpotent Minimum Logics

Journal

JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
Volume 38, Issue 5-6, Pages 533-545

Publisher

OLD CITY PUBLISHING INC

Keywords

Pretabularity; fuzzy logic; nilpotent minimum logics; Kripke-style semantics; algebraic semantics; many-valued logic

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This paper discusses pretabular fuzzy logics and their Kripke-style semantics, focusing on the nilpotent minimum logic NM and its two pretabular expansions. The paper also provides Kripke-style semantics for these logics and considers pretabular properties of the two systems using Kripke frames.
This paper deals with pretabular fuzzy logics and their Kripke-style semantics. For this, we first recall the nilpotent minimum logic NM and their two pretabular expansions NMnfp, NM(1/2) over bar, and their algebraic semantics. Next, we provide Kripke-style semantics for those logics. Finally we consider pretabular properties of the two systems using Kripke frames.

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