International Journal of Fuzzy Mathematical Archive
  • Year: 2017
  • Volume: 14
  • Issue: 2

Fuzzy Almost e*-continuous Mappings and Fuzzy e*-compactness in Smooth Topological Spaces

  • Author:
  • A. Prabhu1, A. Vadivel2, B. Vijayalakshmi3
  • Total Page Count: 17
  • Page Number: 347 to 363

1Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India

2Department of Mathematics, Government Arts College (Autonomous), Karur, Tamil Nadu-639 005, India

3Department of Mathematics, Government Arts college, Chidambaram, Tamilnadu, India. Email: mathsvijaya2006au@gmail.com

AMS Mathematics Subject Classification (2010): 54A40, 54C05, 03E72

Abstract

In this paper, we introduce the concept of fuzzy almost e*-continuous, fuzzy weakly e*-continuous, r-fuzzy e*-compact, r-fuzzy almost e*-compactness and r-fuzzy near e*-compactness in S ostak's fuzzy topological spaces. We study some properties of them under several types of fuzzy e*-continuous mappings and fuzzy e*-regular spaces.

Keywords

Fuzzy (almost, weakly) e *-continuous, fuzzy e *-regular spaces, r-fuzzy (almost, near) e *-compactness