Applications of fuzzy bitopological semi-open sets

P. Gomathi sundari; B. Narmatha

doi:10.26637/MJM0803/0057

Abstract

The aim of this paper is to introduce and study the notions of fuzzy upper and lower $(i, j)$-semilimit sets. Properties and basic relationships among fuzzy upper $(i, j)$-semilimit set, fuzzy lower $(i, j)$-semilimit set and fuzzy $(i, j)$-semicontinuity are investigated.

Keywords:

Fuzzy $(i; j)$-semiopen sets, fuzzy lower $(i; j$)-semilimit set, fuzzy upper $(i; j$)-semilimit set

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

P. Gomathi sundari Department of Mathematics, Rajah Serfoji Government College (Affiliated to Bharathidasan University), Thanjavur-613005, Tamil Nadu, India.
B. Narmatha Department of Mathematics, Rajah Serfoji Government College (Affiliated to Bharathidasan University), Thanjavur-613005, Tamil Nadu, India.

Pages: 1063-1069
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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

C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190.

A. Kandil, Biproximities and fuzzy bitopological spaces, Simon Stevin, 63(1989), 45-66.

P. P.Ming and L.Y.Ming, Fuzzy topology I. Neighbourhood structure of a fuzzy poing and Moore-simith convergence, J. Math. Anal. Appl., 76 (1980), 571-599.

S.S. Thakur and R.Malviya, Semi-open sets and semicontinuity in fuzzy bitopological spaces, Fuzzy Sets and Systems, 79(2)(1996), 251-256.

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