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http://dx.doi.org/10.11568/kjm.2016.24.1.27

INTERVAL-VALUED INTUITIONISTIC GRADATION OF OPENNESS  

Park, Chun-Kee (Department of Mathematics Kangwon National University)
Publication Information
Korean Journal of Mathematics / v.24, no.1, 2016 , pp. 27-40 More about this Journal
Abstract
In this paper, we introduce the concepts of interval-valued intuitionistic gradation of openness of fuzzy sets which is a generalization of intuitionistic gradation of openness of fuzzy sets and interval-valued intuitionistic gradation preserving mapping and then investigate their properties.
Keywords
interval-valued intuitionistic gradation of openness; interval-valued intuitionistic gradation preserving mapping;
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1 A. S. Abu Safiya, A. A. Fora and M. W. Warner, Higher separation axioms in byfuzzy topological spaces, Fuzzy Sets and Systems 79 (1996), 367-372.   DOI
2 K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986), 87-96.   DOI
3 K. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (3) (1989), 343-349.   DOI
4 R. Badard, Smooth axiomatics, First IFSA Congress, Palma de Mallorca (July 1986).
5 C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190.   DOI
6 K. C. Chattopadhyay, R. N. Hazra and S. K. Samanta, Gradation of openness:fuzzy topology, Fuzzy Sets and Systems 49 (1992), 237-242.   DOI
7 D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89.   DOI
8 R. N. Hazra, S. K. Samanta and K. C. Chattopadhyay, Fuzzy topology redefined, Fuzzy Sets and Systems 45 (1992), 79-82.   DOI
9 T. K. Mondal and S. K. Samata, On intuitionistic gradation of openness, Fuzzy Sets and Systems 131 (2002), 323-336.   DOI
10 T. K. Mondal and S. K. Samata, Topology of interval-valued fuzzy sets, Indian J. Pure Appl. Math. 30 (1) (1999), 23-38.
11 T. K. Mondal and S. K. Samata, Topology of interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 119 (2001), 483-494.   DOI
12 A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375.   DOI
13 S. K. Samata and T. K. Mondal, Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal 73 (1997), 8-17.
14 L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353.   DOI
15 L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning I, Inform. Sci. 8 (1975), 199-249.   DOI