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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 11 | Year 2020 | Article Id. IJMTT-V66I11P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I11P508

Generalization of new fuzzy Topological Spaces


Arun Kumar Gali
Abstract

In this paper, we introduce new class of fuzzy sets called fuzzy generalized regular-closed sets and fuzzy generalized regular open sets in fuzzy topological spaces and investigate certain basic properties of these fuzzy sets. Also we introduce fuzzy generalized regular-closed sets and fuzzy generalized regular-open sets in fuzzy topological spaces and study some of their properties.

Keywords
Fuzzy gr-closed sets, Fuzzy gr-open sets, Fuzzy closed sets, Fuzzy open sets
References

[1] L.A.Zadeh, Fuzzy sets, Information and control, 8 (1965) 338-353.
[2] C.L.Chang,Fuzzy topological spaces, JI. Math. Anal. Appl., 24(1968), 182-190.
[3] K.K.Azad,On fuzzy regular continuity, fuzzy almost continuity and fuzzy weakly continuity. JI. Math. Anal. Appl. 82 No. 1 (1981), 14-32.
[4] R.S.Wali, on some topics in general and fuzzy topological spaces;ph.d thesis,Karnatak university Dharwad.(2007).
[5] Thakur S.S. and Bajpai Pandey Jyoti“Intuitionistic Fuzzy rgα-closed sets”, International Journal of Fuzzy system and Rough System 4(1), 67-73.
[6] T.Fukutake, R.K.Saraf, M.Caldas and S.Mishra, Mappingr via Fuzzy gp-closed sets, Bull. of Fukuoka Univ. of Edu. Vol. 52, Part III (2003), 11-20.
[7] S.Bhattacharya,Int j.Contemp Math Sciences,Vol 6 2011,no 3 145-152.
[8] R.S.Wali and Vivekananda Dembre, on pre generalized pre regular weakly closed sets in topological spaces, to appear in Journal of Computer and Mathematical Science, (2015).

Citation :

Arun Kumar Gali, "Generalization of new fuzzy Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 11, pp. 95-104, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I11P508

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