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Commutative quantales and commutative quantale frame

Yong Chan Kim|Ju-Mok Oh
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제22권 제1호|pp. 25-42|DOI 10.30948/afmi.2021.22.1.25

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키워드

Alexandrov topologiesFuzzy partially ordered setscommutative quantale framescommutative quantales

초록

We introduce the notion of commutative quantale frames as a viewpoint of relational semantics for a fuzzy logic. We investigate the relations between commutative quantale frames and commutative quantales. We study their properties and give their examples.

Abstract

We introduce the notion of commutative quantale frames as a viewpoint of relational semantics for a fuzzy logic. We investigate the relations between commutative quantale frames and commutative quantales. We study their properties and give their examples.

참고문헌 (14)

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  12. J. M. Oh, "Fuzzy Galois connections on Alexandrov L-topologies", Journal of Intelligent and Fuzzy Systems, 40, pp.251~270 (2021)
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관련 논문AI추천

Embedding maps on commutative quantalesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제2호Fuzzy connections and completeness in complete residuated lattices김영선, 김용찬강원경기수학회 · 한국수학논문집2013 · 제21권 제2호Algebraic Routley-Meyer-style semantics for the fuzzy logic MTL양은석한국논리학회 · 논리연구2018 · 제21권 제3호Fuzzy relations and Alexandrov L-topologies고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호Algebraic Routley-Meyer-style semantics for the involutive monoidal t-norm logic IMTL양은석한국논리학회 · 논리연구2020 · 제23권 제3호Algebraic Kripke-Style Semantics for Weakly Associative Fuzzy Logics양은석한국논리학회 · 논리연구2018 · 제21권 제2호

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