Advances in Fuzzy Mathematics
  • Year: 2009
  • Volume: 4
  • Issue: 1

On Fuzzy Nearly Compact Regular Open Topology

  • Author:
  • A. Deb Ray1, Pankaj Chettri2
  • Total Page Count: 10
  • Page Number: 59 to 68

1Department of Mathematics, West Bengal State University, Barasat, North 24 Paraganas, Kolkata - 700126, INDIA.

2Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, Rangpoo, East Sikkim, PIN - 737132, INDIA.

AMS subject classification: 03E72, 54A40, 54C35.

Abstract

In this paper, the concept of a new fuzzy topology called fuzzy nearly compact regular open topology on a collection of functions, F, from a fuzzy topological space (fts, for short) X to another fts Y (denoted by FNR) is introduced and studied. It is observed that the fuzzy GS - T2-ness (fuzzy almost regularity) of the range fts Y induces fuzzy GS - T2-ness (respectively, somewhat almost regularity) in F. Moreover the fuzzy almost regularity of Y makes the evaluation map on (F, FNR) δ - continuous. The notion of jointly fuzzy δ - continuous on fuzzy near compacta is also introduced and studied in connection with the said FNR topology.

Keywords

fuzzy nearly compact regular open topology, fuzzy δ -continuity on fuzzy nearly compact set, jointly fuzzy δ -continuous on fuzzy near compacta