On Weak Forms Of Β-Open And Β-Closed Functions In Smooth Fuzzy Topological Spaces

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Published: Oct 12, 2023
DOI: https://doi.org/10.53555/jrtdd.v6i10s.3876
Keywords:
fuzzy preopen sets, -fuzzy -open sets, -fuzzy weakly -open functions, -fuzzy extremely disconnected spaces, -fuzzy quasi H-closed spaces.

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Palanisamy

Abstract

 In this paper, we introduce and study two new classes of fuzzy functions by using the notions of -fuzzy -open sets and -fuzzy -closure operator called weakly -fuzzy -open and weakly -fuzzy -closed functions. The connections between these -fuzzy functions and other existing -fuzzy topological functions are studied. 2000 Math. Subject Classification: 54A40, 54C10, 54D10;

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How to Cite
Palanisamy. (2023). On Weak Forms Of Β-Open And Β-Closed Functions In Smooth Fuzzy Topological Spaces. Journal for ReAttach Therapy and Developmental Diversities, 6(10s), 2362–2379. https://doi.org/10.53555/jrtdd.v6i10s.3876
Issue
Vol. 6 No. 10s (2023)
Section
Articles
Author Biography

Palanisamy

Assistant Professor, Department of Mathematics, S.T.Hindu College, Nagercoil-629002, Kanniyakumari-Dt.

References

A. A. Abbas, Fuzzy -Irresolute Functions, Applied Mathematics and Computation, 157 (2004), 369-380.

K. K. Azad , On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl., 82(1981), 14–32.

A. S. Bin Shahna, On fuzzy strong semi-continuity and fuzzy precontinuity, Fuzzy Sets and Systems, 44(1991), 303-308.

C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 182–189

M. Caldas, M. Ganster, D. N. Georgiou, S. Jafari and T. Noiri, On θ-semi-open sets and separation axioms in topological spaces, Carpathian. J.Math., 24(1) (2008), 13-22.

I. M. Hanafy, Fuzzy γ-open sets and fuzzy γ-continuity, J. Fuzzy Math. 7(2) (1999), 419-430.

R. N. Hazra, S. K. Samanta and K. C. Chattopadhyay, Fuzzy topology redefined, Fuzzy Sets and Systems, 4(1992), 79-82.

R. N. Hazra, S. K. Samanta and K. C. Chattopadhyay, Gradation of openness: fuzzy topology, Fuzzy Sets and Systems, 49(2) (1992), 237-242.

Y. C. Kim and J. W. Park, Some properties of r-generalized fuzzy closed sets, Far East J. of Math. Science, 7(3) (2002), 253-268.

N. Levine, Semi-open sets and Semi-continuity in topological spaces, American Mathematical Monthly, 70(1963), 36-41.

Jin Han Park and Bu Young Lee, Fuzzy semi-preopen sets and fuzzy semi-precontinuous mappings, Fuzzy Sets and Systems, 67(1994), 395-364.

M. Palanisamy and A. Vadivel, Fuzzy -open Sets and Fuzzy * -Open Set in ostaks Fuzzy Topology (submitted).

M. Palanisamy and R. Prakash, r-fuzzy Z * -Open Sets and r-fuzzy Z* -Continuity In Topological Spaces, (Submitted)

J. H. Park, B. Y. Lee and M. J. Son, On δ-semi-open sets in topological spaces, Journal of the Indian Academy of Mathematics, 19(1) (1997), 59-67.

A. A. Ramadan, S. E. Abbas and Young Chan Kim, Weaker Forms of Continuity in ostaks Fuzzy Topological Spaces, Indian J. Pure and Appl. Math. 34(2)(2003), 311-333.

S. Raychaudhhuri and N. Mukherjee, On δ-almost continuity and δ-pre-open sets, Bull. Inst. Math. Acad. Sinica, 21(1993), 357-366.

S. K. Samanta and K. C. Chattopadhyay, Fuzzy topology, Fuzzy closure operator, Fuzzy compactness and fuzzy connectedness, Fuzzy Sets and Systems, 54(1993), 207-212.

A. S. ostak, On a fuzzy topological structure, Rend. Circ. Matem. Palermo Ser. II 11(1985), 89-103.

N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl., 78(1968), 103-118.

S. S. Thakur and R. K. Khare, Fuzzy semi δ-preopen sets and fuzzy semi δ-precontinuous mappings, Universitatea din Bacau studii si cerceturi Strintitice Seria Matematica, 14 (2004), 201–211.

M. E. El-Shafei and A. Zakari, θ-generalized closed sets in fuzzy topological spaces, Arab. J. Sci. Eng. Sect. A Sci. 31(2) (2006), 197-206.