Regular generalized fuzzy b-separation axioms in fuzzy topology

Authors

  • Varsha Joshi Mathematics Department, SDM College of Engineering & Technology, Dharwad-580 003. Karnataka, India
  • Jenifer J. Karnel Mathematics Department, SDM College of Engineering & Technology, Dharwad-580 003. Karnataka, India

DOI:

https://doi.org/10.23755/rm.v40i1.624

Keywords:

rgfbCS, rgfbOS, rgfbCl, rgfbInt, rgfbT0, rgfbT1, rgfbT2, rgfbT21/2 and fuzzy topological spaces X

Abstract

Regular generalized fuzzy b-closure and regular generalized fuzzy b- interior are stated and their characteristics are examined, also Regular generalized fuzzy b - separation axioms have been introduced and their interrelations are examined. The characterization of regular generalized fuzzy b –separation axioms are analyzed.

References

Azad,K. (1981). Fuzzy semi-continuity, Fuzzy Almost continuity and Fuzzy weakly continuity. Journal of Mathematics Analysis and Application,82, pp.14-32.

Balasubramaniam,G. and Sundaram. (1997). Some generalization of fuzzy continuous functions. Fuzzy Sets and Systems , 86(1), pp. 93-100.

Benchalli, S. and Karnel, J. (2010).On fuzzy b-open sets in fuzzy topological spaces.

Journal of Computer and Mathematical Sciences, 1(2),pp.103-273.

Benchalli, S. and Karnel, J. (2010). Fuzzy b-Neighborhoods’ and Fuzzy b-Functions in fuzzy topological spaces. Journal of Computer and Mathematical Sciences,1(6), pp.696-701.

Benchalli, S. and Karnel, J. (2011). On fbg-closed sets and fb-seperation Axioms in fuzzy topological spaces. International Mathematical Forum, 6(51),pp.2547-2559.

Benchalli, S. and Karnel, J. (2011). On fgb-continuous maps in fuzzy topological spaces. International Journal of Computer Applications,19(1),pp.24-29.

Benchalli, S. and Karnel, J. (2011). On weaker and stronger forms of fuzzy b-irresolute maps in fuzzy topological spaces. International Journal of Mathematical Analysis, 5(39),pp.1933-1941.

Benchalli, S. and Karnel, J. (2012). On some new-irresolute and closed maps in fuzzy topological spaces. International Journal of Mathematical Analysis,6(29),pp.1443-1452.

Chang,C.(1968). Fuzzy topological spaces. Journal of Mathematical Analysis and Application, 24, pp.182-190.

Ghanim,M., Kerre,E. and Mashhour,A.(1984). Separation axioms, subspaces and sums in fuzzy topology. Journal of Mathematical Analysis and Application,102,pp.189-202.

Karnel,J. and Joshi,V.(2019).Regular generalized fuzzy b-closed sets in fuzzy topological spaces. Journal of Emerging Technologies and Innovative Research,6(6),pp.85-86.

Karnel,J. and Joshi,V.(2019).New forms of irresolute maps in fuzzy topology. International Journal of Advance and Innovative Research,6(2),pp.161-164.

Karnel,J. and Joshi,V. (2021).Regular generalized fuzzy b-continuous function in fuzzy topology.(Communicated).

Jin Han Park and JK Park.(1998). On regular generalized closed fuzzy sets and generalizations of fuzzy continuous functions in fuzzy topological spaces, Indian Journal of Pure and Applied Mathematics, 34(7),pp.1013-1024.

Thiruchelvi, M. and Gnanmbal Ilango.( 2016). On fuzzy generalized semi preregular continuous functions in fuzzy topological spaces. International Journal of Pure and Applied Mathematics,106(6),pp.75-83.

Zadeh, L. (1965). Fuzzy sets, Information and Control,8, pp.338-353.

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Published

2021-07-04

Issue

Vol. 40 (2021)

Section

Volume 40-2021

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