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http://dx.doi.org/10.5391/JKIIS.2008.18.3.406

Fuzzy (r, s)-pre-semicontinuous mappings  

Lee, Seok-Jong (Department of Mathematics, Chungbuk National University)
Kim, Jin-Tae (Department of Mathematics, Chungbuk National University)
Eoum, Youn-Suk (Department of Mathematics, Chungbuk National University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.18, no.3, 2008 , pp. 406-411 More about this Journal
Abstract
In this paper, we introduce the concept of fuzzy (r, s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The concepts of fuzzy (r, s)-pre-semineighborhood and fuzzy (r, s)-quasi-pre-semineighborhood are given. The characterizations for the fuzzy (r, s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r, s)-pre-semiopen and fuzzy (r, s)-pre-semiclosed mappings, and then we investigate some of their characteristic properties.
Keywords
fuzzy (r, s)-pre-semicontinuous mapping; fuzzy (r, s)-pre-semiopen mapping; fuzzy (r, s)-pre-semiclosed mapping;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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1 Shi-Zhong Bai, Fuzzy pre-semiopen sets and fuzzy pre-semicontinuity, Proc. ICIS'92 (1992), 918-920
2 C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190   DOI
3 D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89   DOI   ScienceOn
4 Seok Jong Lee, Jin Tae Kim, and Youn Suk Eoum, Fuzzy (r, s )-pre-semiopen sets, Communications in Mathematics and Mathematical Sciences 3 (2007), 39-48
5 Seok Jong Lee and Eun Pyo Lee, Fuzzy (r, s)semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 16 (2006), 108-112   과학기술학회마을   DOI   ScienceOn
6 A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II 11 (1985), 89-103
7 K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96   DOI   ScienceOn
8 Eun Pyo Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 14 (2004), 234-238
9 Seok Jong Lee and Jin Tae Kim, Fuzzy (r, s)irresolute maps, International Journal of Fuzzy Logic and Intelligent Systems 7 (2007), no. 1, 49-57   과학기술학회마을   DOI   ScienceOn
10 K. C. Chattopadhyay, R. N. Hazra, and S. K. Samanta, Gradation of openness: Fuzzy topology, Fuzzy Sets and Systems 49 (1992), 237-242   DOI   ScienceOn
11 A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375   DOI   ScienceOn
12 Seok Jong Lee and Youn Suk Eoum, Fuzzy r-presemineighborhoods and r-pre-semicontinuous maps, International Journal of Fuzzy Logic and Intelligent Systems 1 (2001), no. 1,62-68
13 I. M. Hanafy, Intuitionistic fuzzy functions, International Journal of Fuzzy Logic and Intelligent Systems 3 (2003), 200-205   DOI   ScienceOn
14 Shi-Zhong Bai and Wan-Liang Wang, Fuzzy noncontinuous mappings and fuzzy pre-semi-separation axioms, Fuzzy Sets and Systems 94 (1998), 261-268   DOI   ScienceOn
15 D. Coker and M. Demirci, On intuitionistic fuzzy points, NIFS. 1 (1995), 79-84
16 Seung On Lee and Eun Pyo Lee, Fuzzy (r, s )-preopen sets, International Journal of Fuzzy Logic and Intelligent Systems 5 (2005), 136-139   과학기술학회마을   DOI   ScienceOn
17 D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL 67 (1996), 67-76