Korean Journal of Logic (논리연구)

Korean Association for Logic (한국논리학회)
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Algebraic Kripke-style semantics for an extension of HpsUL, CnHpsUL*

CnHpsUL*을 위한 대수적 크립키형 의미론

  • Yang, Eunsuk (Department of Philosophy & Institute of Critical Thinking and Writing, Chonbuk National University)
  • 양은석 (전북대학교 철학과, 비판적사고와논술연구소)
  • Received : 2015.11.17
  • Accepted : 2016.02.12
  • Published : 2016.02.28
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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.

이 글에서 우리는 약화 없는 비교환적인 퍼지 논리의 크립키형 의미론을 다룬다. 이의 한 예로, 우리는 가-유니놈에 기반한 퍼지 논리 HpsUL의 한 확장 체계인 $CnHpsUL^*$을 위한 대수적 크립키형 의미론을 고려한다. 이를 위하여 먼저 $CnHpsUL^*$ 체계를 소개하고 그에 상응하는 $CnHpsUL^*$-대수를 정의한 후 $CnHpsUL^*$이 대수적으로 완전하다는 것을 보인다. 다음으로 $CnHpsUL^*$을 위한 크립키형 의미론을 소개하고 이를 대수적 의미론과 연관 짓는다.

Keywords

References

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