Double fuzzy contra-continuous multifunctions
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DOI:
https://doi.org/10.26637/MJM0704/0039Abstract
This paper is devoted to the concepts of double fuzzy upper and double fuzzy lower contra-continuous multifunctions. Several characterizations and properties of this multifunctions are established in fuzzy topological spaces.
Keywords:
(r; s)-fuzzy open sets, double fuzzy contra-continuous multifunctionsMathematics Subject Classification:
Mathematics- Pages: 862-866
- Date Published: 01-10-2019
- Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
S. E. Abbas, M. A. Hebeshi and I. M. Taha, On upper and lower contra-continuous fuzzy multifunctions, Punjab Uni. J. Math., 47(1)(2015), 105-117.
K. M. A. Al-hamadi and S. B. Nimse, On fuzzy $alpha$ continuous multifunctions, Miskolc Mathematical Notes, $11(2)(2010), 105-112$.
M. Alimohammady, E. Ekici, S. Jafari and M. Roohi, On fuzzy upper and lower contra-continuous multifunctions, Iranian Journal of Fuzzy Systems, 8(3)(2011), 149-158.
C. Berge, Topological Spaces, Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity, Oliver, Boyd London, 1963.
C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24(1968), 182-190.
D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88(1)(1997), 81-89.
M. Demirci and D. Coker, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL, $67(1996), 67-76$
J. Gutierrez Garcia and S. E. Rodabaugh, Order-theoretic, topological, categorical re-dundancies of interval-valued sets, grey sets, vague sets, interval-valued; intuitionistic sets, intuitionistic fuzzy sets and topologies, Fuzzy Sets and Systems, 156(3)(2005), 445-484.
J. A. Goguen, The Fuzzy Tychonoff theorem, J. Math. Anal. Appl. 43(1993), 734-742.
T. Kubiak, On fuzzy topologies, $mathrm{Ph}$. D. Thesis, A. Mickiewicz, Poznan, 1985.
E. P. Lee and Y. B. Im, Mated fuzzy topological spaces, Journal of fuzzy logic and intelligent systems, 11(2001), 161-165.
R. A. Mahmoud, An application of continuous fuzzy multifunctions, Chaos, Solitons and Fractals, 17(2003), 833-841.
M. N. Mukherjee and S. Malakar, On almost continuous and weakly continuous fuzzy multifunctions, Fuzzy Sets and Systems, 41(1991), 113-125.
N. S. Papageorgiou, Fuzzy topology and fuzzy multifunctions, J. Math. Anal. Appl., 109(1985), 397-425.
N. Rajesh, M. Vanishree and R. Vennila, Double fuzzy semi-continuous multifunctions, (submitted).
N. Rajesh, M. Vanishree and B. Jayabharathi, Double fuzzy weakly continuous multifunctions, (submitted).
S. K. Samanta and T. K. Mondal, On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131(3)(2002), 323-336.
A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Palerms ser II, 11(1985), 89-103.
E. Tsiporkova, B. De Baets and E. Kerre, A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings, Fuzzy Sets and Systems, 85(1997), 93-108.
E. Tsiporkova, B. De Baets and E. Kerre, Continuity of fuzzy multivalued mappings, Fuzzy Sets and Systems, $94(1998), 335-348$.
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