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Adjunctions and Galois connections in complete co-residuated lattices

Yong Chan Kim|Ju-Mok Oh
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제22권 제3호|pp. 297-310|DOI 10.30948/afmi.2021.22.3.297

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참고문헌

키워드

Galois connectionsAlexandrov topologiesComplete co-residuated latticesDistance functionsAdjunctions

초록

In this paper, using distance function based on complete co-residuated lattices, we investigate adjunctions, Galois connections and join (meet) preserving maps between various operations as extensions of Zadeh powerset operations. We give their examples.

Abstract

In this paper, using distance function based on complete co-residuated lattices, we investigate adjunctions, Galois connections and join (meet) preserving maps between various operations as extensions of Zadeh powerset operations. We give their examples.

참고문헌 (18)

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관련 논문AI추천

Fuzzy completeness and various operations in co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제3호Generalizations of Zadeh powerset operators in complete co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제3호Preserving maps in complete co-residuated latticesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제2호Fuzzy connections on adjoint triples고정미, 김용찬강원경기수학회 · 한국수학논문집2019 · 제27권 제4호Fuzzy connections and completeness in complete residuated lattices김영선, 김용찬강원경기수학회 · 한국수학논문집2013 · 제21권 제2호Various fuzzy transformations and fuzzy concept lattices on adjoint triplesJu-Mok Oh기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제3호

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