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

A generalization of fuzzy semi-pre open sets

  • Author:
  • K. Bageerathi
  • Total Page Count: 18
  • Page Number: 134 to 151

Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur, India

MSC 2010: 54A40, 03E72.

Abstract

The authors introduced and studied fuzzy C -closed sets in fuzzy topological space where C: [0, 1] → [0, 1] is a complement function. Let X be a non empty set. For any fuzzy subset λ of X, the complement C λ of λ is defined to be C λ (x)= C (λ (x)) for every x∈X. This C is called a complement function and C λ is called the complement of λ with respect to C. Using this, we introduced fuzzy C -regular closed sets, fuzzy C -α-closed sets, fuzzy C -semi closed sets and fuzzy C -pre closed sets and discussed their basic properties. The purpose of this paper is to introduce fuzzy C - semi pre open sets, fuzzy C -semi-pre closed sets and to discuss their properties.

Keywords

Fuzzy C -pre open, fuzzy C -pre closed, Fuzzy C -semi open, Fuzzy C -semi closed, fuzzy C -semi-pre open, fuzzy C - semi-pre closed, fuzzy C -semi-pre continuity, fuzzy topology