On upper and lower completely contra e-irresolute fuzzy multifunction

K. Kamala; V. Seenivasan

doi:10.26637/MJM0803/0016

Abstract

In this paper the concepts of upper and lower fuzzy completely contra e-irresolute fuzzy multifunctions are introduced. Also the concepts of the upper and lower completely weakly e-irresolute fuzzy multifunctions are being discussed. Some characterizations of these classes and some basic interesting properties of such fuzzy multifunctions are obtained and the mutual relationship and with other existing fuzzy multifunctions are also discussed.

Keywords:

Upper and lower fuzzy completely contra e-irresolute fuzzy multifunctions, upper and lower completely weakly e-irresolute fuzzy multifunctions

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

K. Kamala Department of Mathematics, University College of Engineering Panruti, Panruti-607106, TamilNadu, India.
V. Seenivasan Department of Mathematics, University College of Engineering Panruti, Panruti-607106, TamilNadu, India.

Pages: 827-831
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

I. Beg, Fuzzy multivalued functions, Bull. Allahabad Math. Soc., 21 (2006), 41-104.

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

J. Dontchev, "Contra-continuous functions and strongly s-closed spaces," Internat. J. Math. and Math. Sci., 19(1996), 303-310.

J. E. Joseph and M. H. Kwack, On S-closed spaces,Proc. Amer. Math. Soc., 80 (1980), 341-348.

A. Mukherjee and S. Debnath, $delta$-semi open sets in fuzzy setting, J. Tri. Math.Soc., 8(2006), 51-54.

M.N. Mukherjee and S. Malakar, On almost continuous and weakly continuous fuzzy multifunctions, Fuzzy Sets and Systems, 41 (1991), 113-125.

N.S. Papageorgiou, Fuzzy topology and fuzzy multifunctions, Jour. Math. Anal. Appl., 109 (1985), 397-425.

Pao-Ming Pu and Ying- Ming Liu, Fuzzy Topology-I, Neighborhood structure of fuzzy point and Moore-smith convergence, J. Math. Anal. Appl., 6(1980), 571-599.

V. Seenivasan and K. Kamala, Fuzzy e-continuity and fuzzy e-open sets, Annals of Fuzzy Mathematics and Informatics, 8(1)(2014), 141-148.

V. Seenivasan and K. Kamala, Fuzzy Ce-I(ec,eo) functions and fuzzy completely $mathrm{Ce}-mathrm{I}(mathrm{rc}$, ,eo) functions via fuzzy e-open sets, The Scientific World Journal, 2016 (2016), 1-7.