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Intuitionistic fuzzy topological operators and topology.

Lupianez, Francisco (2004) Intuitionistic fuzzy topological operators and topology. International Journal of Pure and Applied Mathematics, 17 (1). pp. 35-40. ISSN 1311-8080

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Abstract

The introduction of intuitionistic fuzzy sets is due to K.T. Atanassov who, also, defined various topological operators for these sets. D. Çoker defined the intuitionistic fuzzy topological spaces. In this paper we show relations between Atanassov’s topological operators and Çoker's intuitionistic fuzzy topology.

Item Type:Article
Uncontrolled Keywords:Intuitionistic topology, Topological operators, Closure, Interior
Subjects:Sciences > Mathematics > Topology
ID Code:16265
References:

K.T. Atanassov, Intuitionistic fuzzy sets, In: VII ITKR’s Session, Sofia,June 1983; Central Sci. Tech. Library, Bulg. Acad. Sci (1984).

K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst., 20 (1986), 87-96.

K.T. Atanassov, More on intuitionistic fuzzy sets , Fuzzy Sets Syst., 33 (1989), 37-45.

K.T. Atanassov, Intuitionistic Fuzzy Sets. Theory and Applications,Springer-Verlag, Heidelberg (1999).

K.T. Atanassov, On four intuitionistic fuzzy topological operators, Mathware Soft Comput., 8 (2001), 65-70.

D. Çoker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets Syst., 88 (1997), 81-89.

D. Çoker, M. Demirci, On intuitionistic fuzzy points, Notes IFS, 1, No. 2 (1995), 79-84.

P.-M. Pu, Y.-M. Liu, Fuzzy topology I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76 (1980), 571-599.

Deposited On:10 Sep 2012 10:30
Last Modified:10 Sep 2012 10:30

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