On fuzzy Λγ-sets and their applications.

• Bhattacharya, Baby ^[1] ; Paul, Arnab ^[2] ; Chakraborty, Jayasree ^[1]
  1. [1] National Institute Of Technology

     National Institute Of Technology

     Japón

     
  2. [2] Tripura University

     Tripura University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 2, 2019, págs. 237-253
• Idioma: inglés
• DOI: 10.4067/s0716-09172019000200237
• Enlaces
  • Texto completo
• Resumen

  • 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.

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