Vague Separation
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2018-09-01 https://doi.org/10.14419/ijet.v7i3.34.19407
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Abstract
In this paper we are introducing VT1 space, vague haussdorff space (VT2) and then we derive every vague subspace of VT1 space is VT1 and also for VT2. And also we derive the Cartesian product of two vague closed sets is also vague closed set in the vague product topological space X x Y .Finally we define Vague limit point, Vague isolated point, Vague adherent point, Vague perfect, Vague derived set, vague exterior and also derive some theorems on this .
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References
[1] V.Amarendra Babu ,T. Anitha and R.Ramya swetha, Introduction to vague topology, journal of advanced research in dynamical and control systems, Vol 7,issue 18,dec 2017,768-780.
[2] C.Chang, Fuzzy topological spaces ,J.Math .Anal.Appl., Vol.24, 1968, 182-190.
[3] D. Coker, An introduction to fuzzy topological spaces, fuzzy sets and systems, Vol. 88, 1997, 81-89.
[4] W.L .Gau, D.J.Buehrer,Vague sets, I EEE Trans, systems man and sybernet, Vol. 23, No.20, 1993, 610 – 614.
[5] L. Mariapresenti and I.Arockia Rani , Vague generalised alpha closed sets in topological spaces, International Journal of Mathematical Archive, Vol.7, No.8, 2016, 23 – 29.
[6] Mary margaret .A,Arockiarani I, Vague generalised pre continuous mappings ,International journal of multidisciplinary research and developement,volume3,issue 8,aug 2016,pg no 60-70.
[7] G.F Simmons, Introduction to topology and modern analysis , McGRAW-HILL international book company.
[8] Zadeh L.A, Fuzzy Sets, Information and Control, Vol.8, 1965, 338-335.
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How to Cite
Ramya Swetha, R., Anitha, T., & Amarendra Babu, V. (2018). Vague Separation. International Journal of Engineering & Technology, 7(3.34), 654-662. https://doi.org/10.14419/ijet.v7i3.34.19407Received date: 2018-09-10
Accepted date: 2018-09-10
Published date: 2018-09-01