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Various systems, operators and distance functions on generalized co-residuated lattices
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In this paper, as basic tools for analyzing information systems, we introduce the two types (right, left) of interior (closure) operators, interior (closure, extensional) systems and distance functions on a generalized co-residuated lattice as a noncommutative structure. We investigate their relations and give examples.
Abstract
In this paper, as basic tools for analyzing information systems, we introduce the two types (right, left) of interior (closure) operators, interior (closure, extensional) systems and distance functions on a generalized co-residuated lattice as a noncommutative structure. We investigate their relations and give examples.
관련 논문AI추천
Interior and closure operators on generalized co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제2호Approximation 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 제3호Left and Right Coresiduated Lattices오주목한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제4호$L$-fuzzy bi-closure systems and $L$-fuzzy bi-closure operators고정미, 김용찬강원경기수학회 · 한국수학논문집2019 · 제27권 제2호Adjunctions and Galois connections in complete co-residuated latticesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호
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