Characterizations of generalized fuzzy γ*-closed sets

• Bhattacharya, Baby ^[1] ; Das, Birojit ^[2] ; G Sree, Anusha ^[3] ; Chakraborty, Jayasree ^[1]
  1. [1] National Institute Of Technology

     National Institute Of Technology

     Japón

     
  2. [2] Tripura University

     Tripura University

     India

     
  3. [3] Indian Institute of Technology Hyderabad.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 6, 2023, págs. 1435-1465
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5130
• Enlaces
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• Resumen

  • Generalized fuzzy open sets are playing a vital role in the study of fuzzy topological space as well as that of fuzzy bitopological space since its inception. More often, it is reported that fuzzy closed sets are always included in the family of generalized fuzzy closed sets. Very recently, it has appeared that fuzzy γ*-open sets are incomparable with fuzzy open sets. This paper aims to present three different kinds of fuzzy generalized closed sets in the light of fuzzy γ*-open set and associated closure operators with the terminologies- generalized fuzzy γ*-closed set, γ*-generalized fuzzy closed set and γ*-generalized fuzzy γ*-closed set and it is found that the relation between any two concepts is not necessarily linear. Also, the interrelationships among them are established along with suitable counterexamples which are properly placed to make the paper self-sufficient.

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