The Extension of Generalized Intuitionistic Topological Spaces

Authors

  • Mathan Kumar GK Kamaraj College, Thoothukudi, Tamilnadu, India. Affiliated by Manonmaniam Sundaranar University, Tirunelveli, Tamilnadu, India.
  • G. Hari Siva Annam Manonmaniam Sundaranar University, Tirunelveli-627012, Tamil Nadu, India

DOI:

https://doi.org/10.23755/rm.v43i0.949

Keywords:

mn-μI-ops, mx-μI-ops, PμI-ops, SμI-ops, mn-μI -cts, mx-μI -cts, mn-μI -irresolute, mx-μI irresolute.

Abstract

In this paper, irresolute functions in generalized intuitionistic topological spaces were introduced. Regarding this function, some minimal and maximal irresolute functions were introduced. In addition, the generalized intuitionistic topological spaces were extended by using their open sets which is finer than of it and their basic characterizations were investigated. Also some continuous functions in extension of generalized intuitionistic topological spaces were discussed.

Author Biography

  • Mathan Kumar GK, Kamaraj College, Thoothukudi, Tamilnadu, India. Affiliated by Manonmaniam Sundaranar University, Tirunelveli, Tamilnadu, India.
    Research Scholar, Department of Mathematics

References

A.Csaszar, Generalized topology, generalized continuity, Acta Mathematics, Hungar, 96(2002).

Dogan Coker, A note on intuitionistic sets and intuitionistic points, Tr.J. of Mathematics, 20(1996), 343-351.

J.H.Kim, P.K.Lim, J.G.Lee, K.Hur, Intuitionistic topological spaces, Annals of Fuzzy Mathematics and Informations, 14 December 2017.

Julian Dontchev, On Submaximal Spaces, Tamking Journal of Mathematics, Volume 26, Number 3, Autumn 1995.

Mathan Kumar GK and G.Hari Siva Annam, Minimal and Maximal μI-Open Sets In GITS, Advances and Applications in Mathematical Sciences, Mili Publications, Volume 21, Issue 7, May 2022, Pages 4097-4109.

S.S.Benchalli, Basavaraj M. Ittanagi and R.S.Wali, On Minimal Open Sets and Maps in Topological Spaces, J. Comp. and Math. Sci. Vol.2 (2), 208-220 (2011).

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Published

2022-12-30

Issue

Vol. 43 (2022)

Section

Volume 43-2022

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