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Preserving maps in complete co-residuated lattices
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In this paper, we introduce the notions of $\ominus$-join and $\oplus$-meet preserving maps in complete co-residuated lattices. Moreover, we investigate the relations between $\ominus$-join and $\oplus$-meet preserving maps and residuated connections. We give their examples.
Abstract
In this paper, we introduce the notions of $\ominus$-join and $\oplus$-meet preserving maps in complete co-residuated lattices. Moreover, we investigate the relations between $\ominus$-join and $\oplus$-meet preserving maps and residuated connections. We give their examples.
참고문헌 (14)
- M. Ward, "Residuated lattices", Trans. Amer. Math. Soc, 45, pp.335~354 (1939)
- R. Bˇelohl´avek, "Fuzzy Relational Systems" (2002), Kluwer Academic Publishers
- P. H´ajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers
- U. Hohle, "Non-classical logic and their applications to fuzzy subsets" (1995), Kluwer Academic Publishers
- U. Hohle, "The Handbooks of Fuzzy Sets Series" (1999), Kluwer Academic Publishers
- S. E. Rodabaugh, "Topological and Algebraic Structures In Fuzzy Sets, The Handbook of Recent Developments in the Mathematics of Fuzzy Sets" (2003), Kluwer Academic Publishers
- E. Turunen, "Mathematics Behind Fuzzy Logic" (1999), A Springer-Verlag Co
- Z. Pawlak, "Rough sets: Theoretical Aspects of Reasoning about Data, System Theory, Knowledge Engineering and Problem Solving" (1991), Kluwer Academic Publishers
- Y. C. Kim, "Categories of fuzzy preorders, approximation operators and Alexandrov topologies", 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, "Concept lattices of fuzzy contexts: Formal concept analysis vs. rough set theory", Int. J. Approx. Reasoning, 50, pp.695~707 (2009)
- M. C. Zheng, "Coresiduated lattice with applications", Fuzzy systems and Mathematics, 19, pp.1~6 (2005)
- Q. Junsheng, "On ( , &) -fuzzy rough sets based on residuated and coresiduated lattices", Fuzzy Sets and Systems, 336, pp.54~86 (2018)
- 고정미, "Preserving Maps and Approximation Operators in Complete Co-Residuated Lattices", 한국지능시스템학회 논문지, 30(5), pp.331~340 (2020), 한국지능시스템학회[DOI]
관련 논문AI추천
The properties of join and meet preserving maps고정미, 김용찬강원경기수학회 · 한국수학논문집2014 · 제22권 제2호Adjunctions and Galois connections in complete co-residuated latticesJu-Mok Oh, Yong Chan Kim기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호Fuzzy connections and completeness in complete residuated lattices김영선, 김용찬강원경기수학회 · 한국수학논문집2013 · 제21권 제2호Fuzzy completeness and various operations in co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제3호Some properties of embedding maps on complete co-residuated lattices오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제3호Interior and closure operators on generalized co-residuated lattices김용찬, 오주목기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제2호
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