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Set-Theoretical Kripke-Style Semantics for an Extension of HpsUL, CnHpsUL

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This paper deals with non-algebraic Kripke-style semantics, i.e, set-theoretical Kripke-style semantics, for weakening-free non-commutative fuzzy logics. We first recall an extension of the pseudo-uninorm based fuzzy logic HpsUL, CnHpsUL*. We next introduce set-theoretical Kripke-style semantics for it.

Abstract

This paper deals with non-algebraic Kripke-style semantics, i.e, set-theoretical Kripke-style semantics, for weakening-free non-commutative fuzzy logics. We first recall an extension of the pseudo-uninorm based fuzzy logic HpsUL, CnHpsUL*. We next introduce set-theoretical Kripke-style semantics for it.

참고문헌 (23)

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  15. Tsinakis, C., "The structure of residuated lattices", International Journal of Algebra and Computation, 13, pp.437~461 (2003)
  16. Wang, S, "Logics for residuated pseudo-uninorms and their residua", Fuzzy Sets and Systems, 218, pp.24~31 (2013)
  17. Wang, S., "HpsUL is not the logic of pseudo-uninorms and their residua", Logic Journal of the IGPL, 17, pp.413~419 (2009)
  18. 양은석, "Kripke-style Semantics for UL", 논리연구, 15(1), pp.1~15 (2012), 한국논리학회[DOI]
  19. 양은석, "Algebraic Kripke-style semantics for weakening-free fuzzy logics", 논리연구, 17(1), pp.181~195 (2014), 한국논리학회[DOI]
  20. 양은석, "Algebraic Kripke-style Semantics for Three-valued Paraconsistent Logic", 논리연구, 17(3), pp.441~460 (2014), 한국논리학회
  21. 양은석, "Set-theoretical Kripke-style semantics for three-valued paraconsistent logic", 논리연구, 18(1), pp.65~82 (2015), 한국논리학회[DOI]
  22. Yang, E., "Two kinds of (binary) Kripke-style semantics for three-valued logic", Logique et Analyse, 231, pp.379~396 (2015)
  23. 양은석, "Algebraic Kripke-style Semantics for an Extension of HpsUL, CnHpsUL", 논리연구, 19(1), pp.107~126 (2016), 한국논리학회[DOI]

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