Characterizations of Some New Classes of Fuzzy Sets in Generalized Fuzzy Topology

Authors

  • D. Mandal
  • Sumita Das (Basu)
  • M. N. Mukherjee

Keywords:

Generalized fuzzy topology, maximal μf-open set, minimal μf-open set, local minimal μf-open set, fuzzy (μ; λ)-continuous function.

Abstract

In the present paper we introduce the concepts of maximal μf-open sets, minimal μf-closed sets, local minimal μf-open sets etc. in a generalized fuzzy topological space. We study their fundamental properties and discuss relations among these different μf-open like sets.

Key words and phrases. Generalized fuzzy topology, maximal μf-open set, minimal μf-open set, local minimal μf-open set, fuzzy (μ; λ)-continuous function. 

2000 Mathematics Subject Classification. Primary 54A40, secondary 54D10, 54D15

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Published

2025-05-18

How to Cite

D. Mandal, Sumita Das (Basu), & M. N. Mukherjee. (2025). Characterizations of Some New Classes of Fuzzy Sets in Generalized Fuzzy Topology. Jordan Journal of Mathematics and Statistics, 8(3), 195–207. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1057

Issue

Vol. 8 No. 3 (2015)

Section

Articles