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Algebraic Kripke-Style Semantics for Weakly Associative Fuzzy Logics

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This paper deals with Kripke-style semantics, which will be called algebraic Kripke-style semantics, for weakly associative fuzzy logics. First, we recall algebraic semantics for weakly associative logics. W next introduce algebraic Kripke-style semantics, and also connect them with algebraic semantics.

Abstract

This paper deals with Kripke-style semantics, which will be called algebraic Kripke-style semantics, for weakly associative fuzzy logics. First, we recall algebraic semantics for weakly associative logics. W next introduce algebraic Kripke-style semantics, and also connect them with algebraic semantics.

참고문헌 (23)

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  2. Cintula, P., "Mathematical Fuzzy Logic" (2015), Springer
  3. Cintula, P., "A general framework for mathematical fuzzy logic, Handbook of Mathematical Fuzzy Logic, vol 1", pp.103~207 (2011), College publications
  4. Galatos, N., "Residuated lattices: an algebraic glimpse at substructural logics" (2007), Elsevier
  5. Horĉík, R., "Algebraic semantics: semilinear FL-algebras, Handbook of Mathematical Fuzzy Logic, vol 1", pp.283~353 (2011), College publications
  6. Kripke, S., "Zeitschrift für mathematische Logik und Grundlagen der Mathematik 9", pp.67~96 (1963)
  7. Kripke, S., "Formal systems and Recursive Functions", pp.92~129 (1965), North-Holland Publ Co
  8. Kripke, S., "The theory of models", pp.206~220 (1965), North-Holland Publ Co
  9. Montagna, F., "Kripke semantics, undecidability and standard completeness for Esteva and Godo's Logic MTL∀", Studia Logica, 71, pp.227~245 (2002)
  10. Montagna, F., "Kripke-style semantics for many-valued logics", Mathematical Logic Quaterly, 49, pp.629~641 (2003)
  11. Montagna, F., "Corrigendum to “Kripke-style semantics for many-valued logics", Mathematical Logic Quaterly, 50, pp.104~107 (2004)
  12. 양은석, "Non-associative fuzzy-relevance logics: strong t-associative monoidal uninorm logics", 논리연구, 12(1), pp.89~110 (2009), 한국논리학회
  13. 양은석, "Kripke-style Semantics for UL", 논리연구, 15(1), pp.1~15 (2012), 한국논리학회[DOI]
  14. 양은석, "Algebraic Kripke-style semantics for weakening-free fuzzy logics", 논리연구, 17(1), pp.181~195 (2014), 한국논리학회[DOI]
  15. Yang, E., "Algebraic Kripke-style semantics for relevance logics", Journal of Philosophical Logic, 43, pp.803~826 (2014)
  16. Yang, E., "Weakening-free, non-associative fuzzy logics: micanorm-based logics", Fuzzy Sets and Systems, 276, pp.43~58 (2015)
  17. 양은석, "Some Axiomatic Extensions of the Involutive Micanorm Logic IMICAL", 논리연구, 18(2), pp.197~215 (2015), 한국논리학회[DOI]
  18. 양은석, "Algebraic Kripke-style semantics for substructural fuzzy logics", 논리연구, 19(2), pp.295~322 (2016), 한국논리학회[DOI]
  19. 양은석, "Weakly associative fuzzy logics", 논리연구, 19(3), pp.437~461 (2016), 한국논리학회[DOI]
  20. Yang, E., "Basic substructural core fuzzy logics and their extensions: Mianorm-based logics", Fuzzy Sets and Systems, 276, pp.43~58 (2016)
  21. Yang, E., "Involutive basic substructural core fuzzy logics: Involutive mianorm-based logics", Fuzzy Sets and Systems, 320, pp.1~16 (2017)
  22. 양은석, "Some axiomatic extensions of the involutive mianorm Logic IMIAL", 논리연구, 20(3), pp.313~333 (2017), 한국논리학회[DOI]
  23. Yang, E., "A non-associative generalization of continuous t-norm-based logics", Journal of Intelligent & Fuzzy Systems, 33, pp.3743~3752 (2017)

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