논문KCI 등재
Fuzzy Complete Lattices and Distance Spaces
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we introduce the notions of fuzzy join (resp. meet) complete lattices and distance spaces in complete co-residuated lattices. Moreover, we investigate the relations between Alexandrov pretopologies (resp. precotopologies) and fuzzy join (resp. meet) complete lattices, respectively. We give their examples.
Abstract
In this paper, we introduce the notions of fuzzy join (resp. meet) complete lattices and distance spaces in complete co-residuated lattices. Moreover, we investigate the relations between Alexandrov pretopologies (resp. precotopologies) and fuzzy join (resp. meet) complete lattices, respectively. We give their examples.
참고문헌 (20)
- R. Belohlavek, "Fuzzy Relational Systems" (2002), Kluwer Academic Publishers
- P. Chen, "Alexandroff co-topological spaces", Fuzzy Sets and Systems, 161(18), pp.2505~2514 (2010)
- P. Hajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers
- U. Hohle, "Mathematics of Fuzzy Sets: Logic, Topology, and Mea-sure Theory" (1999), Kluwer Academic Publishers
- F. Jinming, "I-fuzzy Alexandrov topologies and specialization orders", Fuzzy Sets and Systems, 158, pp.2359~2374 (2007)
- J. Qiao, "On fuzzy rough sets based on residuated and co-residuated lattices", Fuzzy Sets and Systems, 336, pp.54~86 (2018)
- Y. C. Kim, "Join-meet preserving maps and Alexandrov fuzzy topologies", Journal of Intelligent and Fuzzy Systems, 28, pp.457~467 (2015)
- Y. C. Kim, "Join-meet preserving maps and fuzzy preorders", Journal of Intelligent and Fuzzy Systems, 28, pp.1089~1097 (2015)
- Y. C. Kim, "Categories of fuzzy preorders, approximation operators and Alexandrov topolo-gies", Journal of Intelligent and Fuzzy Systems, 31, pp.1787~1793 (2016)
- Y.C. Kim, "Fuzzy complete lattices, Alexandrov L-fuzzy topologies and fuzzy rough sets", Journal of Intelligent and Fuzzy Systems, 38, pp.3253~3266 (2020)
- H. Lai, "Fuzzy preorder and fuzzy topology", Fuzzy Sets and Systems, 157, pp.1865~1885 (2006)
- Z. Pawlak, "Rough sets", Int. J. Comput. Inf. Sci, 11, pp.341~356 (1982)
- Z. Pawlak, "Rough probability", Bull. Pol. Acad. Sci. Math, 32, pp.607~615 (1984)
- S.P. Tiwari, "Fuzzy rough sets, fuzzy preorders and fuzzy topologies", Fuzzy Sets and Systems, 210, pp.63~68 (2013)
- E. Turunen, "Mathematics Behind Fuzzy Logic" (1999), Springer-Verlag Co
- M. Ward, "Residuated Lattices", Trans. Amer. Math. Soc, 45, pp.335~354 (1939)
- W. X. Xie, "Fuzzy complete lattices", Fuzzy Sets and Systems, 160, pp.2275~2291 (2009)
- Q.Y. Zhang, "Continuity in quantitive domains", Fuzzy Sets and Systems, 154, pp.118~131 (2005)
- Q. Y. Zhang, "The Dedekind-MacNeille completion for fuzzy posets", Fuzzy Sets and Systems, 160, pp.2292~2316 (2009)
- M.C. Zheng, "Coresiduated lattice with applications", Fuzzy Systems and Mathematics, 19, pp.1~6 (2005)
관련 논문AI추천
Fuzzy completeness and various operations in co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제3호Fuzzy relations and Alexandrov L-topologies고정미, 김용찬한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호Generalizations of Zadeh powerset operators in complete co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제3호Approximation operators and fuzzy rough sets in co-residuated lattices김용찬, 오주목강원경기수학회 · 한국수학논문집2021 · 제29권 제1호On L-fuzzy pre-proximities and L-fuzzy interior operatorsA. A. Ramadan, M. A. Reham, M. A. Usama기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제2호Join-meet approximation operators induced by Alexandrov fuzzy topologies김용찬강원경기수학회 · 한국수학논문집2014 · 제22권 제3호
이 간행물의 다른 논문 (9건)
A Representation for an Inverse Generalized Fourier-Feynman Transform associated with Gaussian Process on Function Space최재길pp. 281-296Utilizing Generalized Meir-Keeler Contraction in Periodic Boundary Value ProblemsAmrish Handapp. 297-314Frame Operators and Semi-frame Operators of Finite Gabor FramesN. M. Madhavan Namboothiri, Jineesh Thomas, T. C. Easwaran Nambudiripp. 315-328Efficient and Accurate Finite Difference Method for the Four Underlying Asset ELS황형석, 곽수빈, 황영진, 최용호, 김준석, 김상권pp. 329-341Generalization of Some Inequalities to the Class of Generalized DerivativeIshfaq Nazir, Irfan Ahmad Wani, Mohammad Ibrahim Mirpp. 343-353
