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STRUCTURES INDUCED BY ALEXANDROV FUZZY TOPOLOGIES

김용찬
한국수학교육학회|2014.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제21권 제3호|pp. 183-194

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키워드

fuzzy preordercomplete residuated latticesmeet-join approximation operatorsAlexandrov (fuzzy) topologies
주제분류수학

초록

In this paper, we investigate the properties of Alexandrov fuzzy topolo-gies and meet-join approximation operators. We study fuzzy preorder, Alexandrovtopologies and meet-join approximation operators induced by Alexandrov fuzzytopologies. We give their examples.

Abstract

In this paper, we investigate the properties of Alexandrov fuzzy topolo-gies and meet-join approximation operators. We study fuzzy preorder, Alexandrovtopologies and meet-join approximation operators induced by Alexandrov fuzzytopologies. We give their examples.

참고문헌 (11)

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  4. Fang Jinming, "I-fuzzy Alexandrov topologies and specialization orders", Fuzzy Sets and Systems, 158, pp.2359~2374 (2007)
  5. Y.C. Kim, "L-topologies and L-join meet approximation operators", International Journal of Pure and Applied Mathematics, 91(1), pp.113~129 (2014)
  6. H. Lai, "Fuzzy preorder and fuzzy topology", Fuzzy Sets and Systems, 157, pp.1865~1885 (2006)
  7. H. Lai, "Concept lattices of fuzzy contexts: Formal concept analysis vs. rough set theory", Int. J. Approx. Reasoning, 50, pp.695~707 (2009)
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  10. A.M. Radzikowska, "A comparative study of fuzy rough sets", Fuzzy Sets and Systems, 126, pp.137~155 (2002)
  11. Y.H. She, "An axiomatic approach of fuzzy rough sets based on residuated lattices", Computers and Mathematics with Applications, 58, pp.189~201 (2009)

관련 논문AI추천

Join-meet approximation operators induced by Alexandrov fuzzy topologies김용찬강원경기수학회 · 한국수학논문집2014 · 제22권 제3호Fuzzy relations and Alexandrov L-topologies고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호Fuzzy Complete Lattices and Distance Spaces고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제4호Alexandrov L-preuniform filter spacesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제1호ALEXANDROV TOPOLOGIES AND NON-SYMMETRIC PSEUDO-METRICS김용찬, 오주목한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제3호INITIAL SOFT L-FUZZY PREPROXIMITIES김영선, Yong Chan Kim한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호

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