International Journal of Engineering, Science and Mathematics
  • Year: 2013
  • Volume: 2
  • Issue: 4

Further characterizations and some applications of upper and lower weakly quasi continuous fuzzy multifunctions

  • Author:
  • Anjana Bhattacharyya
  • Total Page Count: 13
  • Page Number: 49 to 61

Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata, India

AMS Subject Classifications: 54A40, 54C99

Abstract

In his paper we characterize upper and lower weakly quasi continuous fuzzy multifunction's [3] be a new type of convergence of a net in a topological space and also characterize lower weakly quasi continuous fuzzy multifunction by a newly defined convergence of a fuzzy net. Again a new concept of regularity in a topological space has been introduced and characterized and using this regularity several applications of upper weakly quasi continuous fuzzy multifunctions have been shown.

Keywords

S-convergence of a net (fuzzy net), s-inferior limit point of a fuzzy net, s-regular space, fuzzy compact (almost compact, s-closed) space, semicompact space