On fuzzy ??-sets and their applications.



Fuzzy γ-open set, Fuzzy independent topology, FuzzyΛb-set, Fuzzy Λγ-set, Fuzzy Λb-continuity, Fuzzy Λγ-closed set


The notion of ?-fuzzy set was introduced by M. E. EI-Shafei and A. Zakari in 2006 [20]. We examine some basic properties of it and prove some characterization theorems for the same. The paper presents a new class of fuzzy sets called fuzzy ??-sets that includes the class of all fuzzy ?-open sets. It also introduces the notion of fuzzy V?-sets as the dual concept of fuzzy ?? sets to study the spaces constituted by those sets and obtain a completely different structure which is called fuzzy independent Alexandorff space. A stronger form of fuzzy ?b - continuity [2]called fuzzy ??-continuity is introduced and the relationships are also established with the already existing functions accordingly. Finally, fuzzy ??-Generalized closed sets are defined and studied with some of their applications.

Author Biographies

Baby Bhattacharya, National Institute of Technology, Agartala.

Department of Mathematics .

Arnab Paul, Tripura University.

Techno College of Engineering Agartala. Science and Humanities Department.

Jayasree Chakraborty, National Institute of Technology, Argartala.

Department of Mathematics.


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How to Cite

B. Bhattacharya, A. Paul, and J. Chakraborty, “On fuzzy ??-sets and their applications.”, Proyecciones (Antofagasta, On line), vol. 38, no. 2, pp. 237-253, May 2019.




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