A topological view on application of L-fuzzy soft sets: Compactness

ÇETKİN V., AYGÜNOĞLU A., AYGÜN H.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, vol.32, no.1, pp.781-790, 2017 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.3233/jifs-16043
  • Journal Name: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.781-790
  • Keywords: Fuzzy soft set, fuzzy soft topology, continuity, compactness
  • Kocaeli University Affiliated: Yes

Abstract

It is known that compactness occupies a very important place in general topology and also in fuzzy topology. In this paper, a stronger form of a fuzzy soft topology which is called a parameterized L-fuzzy soft topology is presented and compactness of a L-fuzzy soft set is established in the described topological space, where L is a complete DeMorgan algebra. Then the fundamental properties and characterizations of compactness are observed.