On fuzzy Λγ-sets and their applications.
Author
Bhattacharya, Baby
Paul, Arnab
Chakraborty, Jayasree
Abstract
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.
Metadata
Show full item recordRelated items
Showing items related by title, author, creator and subject.
-
Characterization of Educational Environments and the Propensity to Teach, and its Dynamic Relationships via Fuzzy Modeling and ID3 Fuzzy
Leyton G., Guillermo; Veas G., Paulina C.. Polis Revista Latinoamericana; Núm. 37 (2014): Educación. Contextos sociales y propensión a aprender -
Fuzzy δ∗-almost continuous and fuzzy δ∗-continuous functions in mixed fuzzy ideal topological spaces
Tripathy, Binod Chandra; Ray, Gautam Chandra. Proyecciones (Antofagasta, On line); Vol 39 No 2 (2020); 435-449 -
Measuring Commercial Potential of a New Technology at the Early Stage of Development with Fuzzy Logic
Bandarian, Reza. Journal of Technology Management & Innovation; Vol. 2 No. 4 (2007); 73-85