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Proyecciones (Antofagasta)

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Abstract

BHATTACHARYA, Baby; PAUL, Arnab  and  CHAKRABORTY, Jayasree. On Fuzzy Λ γ -Sets and their Applications. Proyecciones (Antofagasta) [online]. 2019, vol.38, n.2, pp.237-253. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172019000200237.

The notion of Λ-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 Λγ-sets that includes the class of all fuzzy γ-open sets. It also introduces the notion of fuzzy Vγ-sets as the dual concept of fuzzy Λγ 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 Λb - continuity ((2)) called fuzzy Λγ-continuity is introduced and the relationships are also established with the already existing functions accordingly. Finally, fuzzy Λγ-Generalized closed sets are defined and studied with some of their applications.

Keywords : Fuzzy γ-open set; Fuzzy independent topology; FuzzyΛb-set; Fuzzy Λγ-set; Fuzzy Λb-continuity; Fuzzy Λγ-closed set..

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