PROPERTIES OF INSTUITIONISTIC FUZZY SP-BOUNDARY
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Abstract
In this paper we present a new concept of Intuitionistic fuzzy  SP-boundary via the arbitrary complement function namely: [0, 1] [0, 1] introduced in recent years. The fuzzy   -closure operator is used as a tool to derive some of their characterizations.
Keywords and phrases: Intuitionistic fuzzy set, Intuitionistic fuzzy topological spaces, Fuzzy boundary, Fuzzy semi-pre boundary.
Mathematics Subject Classification: 54A40
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References
K.Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and systems, 20,(1998), 87-96.
M. Athar and B. Ahmad, Fuzzy boundary and Fuzzy semi boundary, Advances in Fuzzy systems(2008), Article ID586893, 9 pages.
M. Athar and B. Ahmad, Fuzzy sets, fuzzy S-open and fuzzy S-closed mappings, Advances in Fuzzy systems(2009), Article ID 303042, 5 pages.
K.K. Azad, On fuzzy semi-continuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal .Appl. 82(1) (1981), 14-32.
K.Bageerathi, G. Sutha, P. Thangavelu, A generalization of fuzzy closed sets, International Journal of fuzzy systems and rough systems, 4(1) (2011), 1-5.
K. Bageerathi, P. Thangavelu, A generalization of fuzzy Boundary, International Journal of Mathematical Archive – 1(3)(2010), 73-80.
K.Bageerathi, On fuzzy semi-pre-boundary, International journal of Mathematical Archieve, 3(12)(2012), 4848-4855.
C.L. Chang, Fuzzy topological spaces, Journal of mathematical Analysis and Applications, vol. 24(1)(1968), 182-190.
D.Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88, (1997), 81-89.
George J. Klir and Bo Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications, Prentice – Hall, Inc, 2005.
H.Gurcay and D.Coker, On fuzzy continuity in intuitionistic fuzzy topological spaces, J.Fuzzy Math 2(5)(1999), 375-384.
K. Katsaras and D.B. Liu, Fuzzy vector spaces and fuzzy topological vector spaces, J.Math.Anal.Appl. 8 (3) (1978), 459-470
L.A.Zadeh, Fuzzy sets, Information and control, (8)(1965), 338-353.