Some properties of embedding maps on complete co-residuated lattices
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we study embedding maps by using distance functions based on complete co-residuated lattices. We construct two embedding maps from the distance space to the two Alexandrov topologies induced by the distance space. We study the various maps induced by two maps and give their examples. Moreover, as the topological representation, we investigate the embedding map. We give an example for an information.
Abstract
In this paper, we study embedding maps by using distance functions based on complete co-residuated lattices. We construct two embedding maps from the distance space to the two Alexandrov topologies induced by the distance space. We study the various maps induced by two maps and give their examples. Moreover, as the topological representation, we investigate the embedding map. We give an example for an information.
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
- R. Bˇelohl´avek, "Fuzzy Galois connection", Math. Log. Quart, 45, pp.497~504 (2000)
- P. H´ajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers
- U. H¨ohle, "Mathematics of Fuzzy Sets, Logic, Topology and Measure Theory" (1999), Kluwer Academic Publishers
- E. Turunen, "Mathematics Behind Fuzzy Logic" (1999), A Springer-Verlag Co
- 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]
- J. M. Oh, "Various fuzzy connections and fuzzy concepts in complete coresiduated lattices", International Journal of Approximate Reasoning, 142, pp.451~468 (2022)
- J. M. Oh, "Fuzzy Galois connections on Alexandrov L-topologies", Journal of Intelligent and Fuzzy Systems, 40(1), pp.251~270 (2021)
- J. M. Oh, "Distance functions, upper approximation operators and Alexandrov fuzzy topologies", Journal of Intelligent and Fuzzy Systems, 40(6), pp.11915~11925 (2021)
- 오주목, "Fuzzy completeness and various operations in co-residuated lattices", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 21(3), pp.295~305 (2021), 기초자연과학연구소[DOI]
- Ju-Mok Oh, "Adjunctions and Galois connections in complete co-residuated lattices", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 22(3), pp.297~310 (2021), 기초자연과학연구소[DOI]