Weak and strong forms of fuzzy \(\alpha\)-open (closed) sets and its applications

  • Hakeem A. Othman Umm Alqura University
  • Alanod M. Sibih Umm Al-Qura University

Abstract

In this paper, we generalize the concept of infra-\(\alpha\)-open (closed) and supra-\(\alpha\)-open (closed) sets to fuzzy topological spaces and basic properties of these new concepts have been introduced. Some applications on fuzzy (supra-) infra-\(\alpha\)-open (closed) sets, likely, fuzzy (supra-) infra-\(\alpha\)-continuous mappings, fuzzy (supra-) infra-\(\alpha\)-open (closed) mappings, fuzzy supra-\(\alpha\)- irresolute mapping and fuzzy supra-\(\alpha\)-connected space are introduced. The relations and converse relations between these new concepts and others kinds of fuzzy open sets and fuzzy continuous mappings are discussed. Special results about these new concepts are investigated and studied.

Author Biography

Hakeem A. Othman, Umm Alqura University
 
Published
2018-08-10
How to Cite
Othman, H. A., & Sibih, A. M. (2018). Weak and strong forms of fuzzy \(\alpha\)-open (closed) sets and its applications. Journal of Advanced Studies in Topology, 9(2), 100–112. https://doi.org/10.20454/jast.2018.1411
Section
Original Articles