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Fuzzy completeness and various operations in co-residuated lattices

김용찬|오주목
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제21권 제3호|pp. 295-305|DOI 10.30948/afmi.2021.21.3.295

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참고문헌

키워드

Alexandrov topologiesComplete co-residuated latticesDistance functionsFuzzy completes

초록

In this paper, we introduce the notions of distance functions, Alexandrov topologies and fuzzy complete lattices an extension of Zhang's fuzzy completeness based on complete co-residuated lattices. Moreover, we investigate the properties of join (meet) preserving maps and various operations as extensions of Zadeh powerset operations. We give their examples.

Abstract

In this paper, we introduce the notions of distance functions, Alexandrov topologies and fuzzy complete lattices an extension of Zhang's fuzzy completeness based on complete co-residuated lattices. Moreover, we investigate the properties of join (meet) preserving maps and various operations as extensions of Zadeh powerset operations. We give their examples.

참고문헌 (20)

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  20. 고정미, "Preserving Maps and Approximation Operators in Complete Co-Residuated Lattices", 한국지능시스템학회 논문지, 30(5), pp.331~340 (2020), 한국지능시스템학회[DOI]

관련 논문AI추천

Generalizations of Zadeh powerset operators in complete co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제3호Fuzzy Complete Lattices and Distance Spaces고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제4호Approximation operators and fuzzy rough sets in co-residuated lattices김용찬, 오주목강원경기수학회 · 한국수학논문집2021 · 제29권 제1호Adjunctions and Galois connections in complete co-residuated latticesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호Fuzzy relations and Alexandrov L-topologies고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호Fuzzy connections and completeness in complete residuated lattices김영선, 김용찬강원경기수학회 · 한국수학논문집2013 · 제21권 제2호

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