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Topological structures in complete co-residuated lattices
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Information systems and decision rules with imprecision and uncertainty in data analysis are studied in complete residuated lattices. In this paper, we introduce the notions of Alexandrov pretopology (precotopology) and join-meet(meet-join) operators in complete co-residuated lattices. Moreover, their properties and examples are investigated.
Abstract
Information systems and decision rules with imprecision and uncertainty in data analysis are studied in complete residuated lattices. In this paper, we introduce the notions of Alexandrov pretopology (precotopology) and join-meet(meet-join) operators in complete co-residuated lattices. Moreover, their properties and examples are investigated.
참고문헌 (29)
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관련 논문AI추천
Approximation operators and fuzzy rough sets in co-residuated lattices김용찬, 오주목강원경기수학회 · 한국수학논문집2021 · 제29권 제1호Generalizations 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 제4호Various systems, operators and distance functions on generalized co-residuated latticesJu-Mok Oh기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제29권 제1호Fuzzy relations and Alexandrov L-topologies고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호Fuzzy completeness and various operations in co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제3호
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