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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 6 | Year 2018 | Article Id. IJMTT-V55P556 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P556

Fuzzy Semi-Open Sets and Fuzzy Pre-Open Sets in Fuzzy Tri Topological Space


Ranu Sharma, Bhagyashri A. Deole, band Smita Verma
Abstract

The main aim of this paper is to introduce two new types of fuzzy open sets namely fuzzy tri semi-open sets and fuzzy tri pre-open sets in fuzzy tri topological space along with their several properties and characterizations. We introduce fuzzy tri continuous function , fuzzy tri semi-continuousfunction and fuzzy tri pre-continuous function and obtain some of their basic properties.

Keywords
fuzzy tri open sets, fuzzy tri semi-open sets, fuzzy tri pre-open sets, fuzzy tri continuity, fuzzy tri semi continuity and fuzzy tri pre continuity.
References

[1] Azad K.K., On fuzzy semi-continuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. ,Anal. Appl. 82(1981),14-32.
[2] Change C.L., Fuzzy topological spaces,(1968) J. Math. Anal. Appl. 24,182-190.
[3] Hammed N.F. & Mohammed Yahya Abid (2011).Certain types of separation axioms in tri topological spaces. Iraqi journal of science., Vol 52,(2),212-217.
[4] Jelic M., A decomposition of pairwise continuity. J. Inst. Math. Comput. Sci. Math.Ser, 1990, 3, 25-29.
[5] Kandil A., Biproximities and fuzzy bitopological spaces, Simon Steven 63(1989) ,45-66.
[6]Kovar, M.,(2000).On 3-Topological version of Thet-Reularity. Internat.J.Matj,Sci. ,23(6),393-398.
[7] Levine N.(1963). semi open sets and semi –continuity in topological spaces, Amer. Math., 70,36- 41.
[8] Mashhour A.S.,Abd El-Monsef, M.E. and El. Deep. S. N.(1981a), On pre continuous and weak Pre continuous mappings, Proc. Math. Phys. Soc. Egyp , vol 53,47-53.
[9] Maheshwari S.N. & Prasad R. (1977). Semi-open sets and semi-continuous functions in bitopological spaces. Math. Notae. 26, 29-37.
[10] Palaniammal S. ,(2011).Study of Tri topological spaces, Ph.D Thesis.
[11] Sampath Kumar (1994), on fuzzy pair wise α-continuous and fuzzy pair wise pre-continuity , Fuzzy sets and Systems,vol 62,issue 231-238.
[12] Sahana A. S. Bin (1991) ,on fuzzy strongly semi-continuity and fuzzy pre continuity, Fuzzy sets and Systems, vol . 44 ,303-308.
[13] Thakur S.S and Malviya R., Semi-open sets, Semi continuity and semi open mapping in fuzzy bitopological Spaces, Fuzzy sets and Systems ,(1994),64,421-426.
[14] Tapi U.D. and Sharma R .and Deole B.A., Semi-open sets and Pre open sets in Tri Topological space, i-manager’s Journal on Mathematics, Vol. 5 No. 3 July-September 2016.
[15] Zadeh L.A. ,Fuzzy sets ,information and control (1965) ,8,338-353.

Citation :

Ranu Sharma, Bhagyashri A. Deole, band Smita Verma, "Fuzzy Semi-Open Sets and Fuzzy Pre-Open Sets in Fuzzy Tri Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 6, pp. 420-429, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P556

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