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Algebraic Routley-Meyer-style semantics for the fuzzy logic MTL

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This paper deals with Routley-Meyer-style semantics, which will be called algebraic Routley-Meyer-style semantics, for the fuzzy logic system MTL. First, we recall the monoidal t-norm logic MTL and its algebraic semantics. We next introduce algebraic Routley-Meyer-style semantics for it, and also connect this semantics with algebraic semantics.

Abstract

This paper deals with Routley-Meyer-style semantics, which will be called algebraic Routley-Meyer-style semantics, for the fuzzy logic system MTL. First, we recall the monoidal t-norm logic MTL and its algebraic semantics. We next introduce algebraic Routley-Meyer-style semantics for it, and also connect this semantics with algebraic semantics.

참고문헌 (21)

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  13. 양은석, "Algebraic Kripke-style semantics for weakening-free fuzzy logics", 논리연구, 17(1), pp.181~195 (2014), 한국논리학회[DOI]
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  15. 양은석, "Algebraic Kripke-style Semantics for Three-valued Paraconsistent Logic", 논리연구, 17(3), pp.441~460 (2014), 한국논리학회
  16. 양은석, "Algebraic Kripke-style semantics for substructural fuzzy logics", 논리연구, 19(2), pp.295~322 (2016), 한국논리학회[DOI]
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  19. 양은석, "Set-theoretic Kripke-style Semantics for Involutive Monoidal T-norm (Based) Logics", 철학사상, pp.79~88 (2017), 철학사상연구소[DOI]
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  21. 양은석, "Algebraic Kripke-Style Semantics for Weakly Associative Fuzzy Logics", 논리연구, 21(2), pp.155~173 (2018), 한국논리학회[DOI]

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