본문 바로가기
KERD
논문KCI 등재

Fuzzy relations and Alexandrov L-topologies

김용찬|고정미
한국수학교육학회|2014.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제21권 제4호|pp. 247-256

4

조회

0

다운로드

0

인용

0

참고문헌

키워드

Complete residuated latticesfuzzy relationsfuzzy preorderAlexandrov Ltopology
주제분류수학

초록

In this paper, we investigate the relationships between fuzzyrelations and Alexandrov L-topologies in complete residuatedlattices. Moreover, we give their examples.

Abstract

In this paper, we investigate the relationships between fuzzyrelations and Alexandrov L-topologies in complete residuatedlattices. Moreover, we give their examples.

참고문헌 (13)

  1. R. B·elohlavek, "Fuzzy Relational Systems" (2002), Kluwer Academic Publishers
  2. B. De Meyer, "On the existence and construction of T-transitive closures", Information Sciences, 152, pp.167~179 (2003)
  3. P. Hajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers
  4. Fang Jinming, "I-fuzzy Alexandrov topologies and specialization orders", Fuzzy Sets and Systems, 158, pp.2359~2374 (2007)
  5. Y.C. Kim, "Alexandrov L-topologies", Journal of Pure and Applied Math-ematics, 93(2), pp.165~179 (2014)
  6. Y.C. Kim, "Alexandrov L-topologies and L-join meet approximation operators", Interna-tional Journal of Pure and Applied Mathematics, 91(1), pp.113~129 (2014)
  7. H. Lai, "Fuzzy preorder and fuzzy topology", Fuzzy Sets and Systems, 157, pp.1865~1885 (2006)
  8. H. Lai, "Concept lattices of fuzzy contexts: Formal concept analysis vs. rough set theory", Int. J. Approx. Reasoning, 50, pp.695~707 (2009)
  9. Z. Pawlak, "Rough sets", Int. J. Comput. Inf. Sci, 11, pp.341~356 (1982)
  10. H. Lai, "Rough probability", Bull. Pol. Acad. Sci. Math, 32, pp.607~615 (1984)
  11. A.M. Radzikowska, "A comparative study of fuzy rough sets", Fuzzy Sets and Systems, 126, pp.137~155 (2002)
  12. Y.H. She, "An axiomatic approach of fuzzy rough sets based on residuated lattices", Computers and Mathematics with Applications, 58, pp.189~201 (2009)
  13. Zhen Ming Ma, "Topological and lattice structures of L-fuzzy rough set determined by lower and upper sets", Information Sciences, 218, pp.194~204 (2013)

관련 논문AI추천

Fuzzy Complete Lattices and Distance Spaces고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제4호Join-meet approximation operators induced by Alexandrov fuzzy topologies김용찬강원경기수학회 · 한국수학논문집2014 · 제22권 제3호STRUCTURES INDUCED BY ALEXANDROV FUZZY TOPOLOGIES김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제3호On L-fuzzy pre-proximities and L-fuzzy interior operatorsA. A. Ramadan, M. A. Reham, M. A. Usama기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제2호The properties of residuated connections and Alexandrov topologies김용찬, 오주목강원경기수학회 · 한국수학논문집2020 · 제28권 제2호Fuzzy completeness and various operations in co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제3호

이 간행물의 다른 논문 (7건)

Lightlike submanifolds of an indefinite Sasakian manifold with a non-metric θ-connection진대호pp. 229-236Derivations with Nilpotent Values on Γ-ringsBijan Davvaz, Akhil Chandra Paul, Kalyan Kumar Deypp. 237-246ISOPARAMETRIC FUNCTIONS IN S^(4n+3)이재혁, 이서인pp. 257-270Central limit theorem on Chebyshev polynomials안영호pp. 271-279MOTION IN A HANGING CABLE WITH VARIOUS DIFFERENT PERIODIC FORCING오혜영pp. 281-293
원문 보기