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Generalizations of Zadeh powerset operators in complete co-residuated lattices

김용찬|오주목
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제23권 제3호|pp. 273-284|DOI 10.30948/afmi.2022.23.3.273

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참고문헌

키워드

Alexandrov topologiesComplete co-residuated latticesDistance functionsFuzzy closure(interior) operators

초록

In this paper, using distance function based on complete co-residuated lattices, we investigate various operations as extensions of Zadeh powerset operations. We study the Alexandrov L-topologies and L- fuzzy rough sets determined by fuzzy closure and fuzzy interior operators in complete co-residuated lattice. We give their examples.

Abstract

In this paper, using distance function based on complete co-residuated lattices, we investigate various operations as extensions of Zadeh powerset operations. We study the Alexandrov L-topologies and L- fuzzy rough sets determined by fuzzy closure and fuzzy interior operators in complete co-residuated lattice. We give their examples.

참고문헌 (21)

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관련 논문AI추천

Approximation operators and fuzzy rough sets in co-residuated lattices김용찬, 오주목강원경기수학회 · 한국수학논문집2021 · 제29권 제1호Fuzzy completeness and various operations in co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제3호Adjunctions and Galois connections in complete co-residuated latticesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호Fuzzy Complete Lattices and Distance Spaces고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제4호Fuzzy relations and Alexandrov L-topologies고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호$L$-fuzzy bi-closure systems and $L$-fuzzy bi-closure operators고정미, 김용찬강원경기수학회 · 한국수학논문집2019 · 제27권 제2호

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