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SOME REMARKS ON PAIRWISE FUZZY SEMI VOLTERRA SPACES

  • V. CHANDIRAN (Department of Mathematics, School of Science and Humanities, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology) ;
  • G. THANGARAJ (Department of Mathematics, Thiruvalluvar University)
  • Received : 2023.06.30
  • Accepted : 2023.11.28
  • Published : 2024.01.30

Abstract

The purpose of this paper is to introduce the concept of pairwise fuzzy semi door spaces and study its properties and applications. The conditions for a pairwise fuzzy semi door space to become a pairwise fuzzy semi Volterra space and for a pairwise fuzzy semi Volterra space together with a pairwise fuzzy semi door space to become a pairwise fuzzy semi Baire space are established. Also, the inter-relations between pairwise fuzzy semi Volterra spaces and other fuzzy bitopological spaces such as pairwise fuzzy semi Baire space, pairwise fuzzy semi σ-Baire space, pairwise fuzzy semi D-Baire space, pairwise fuzzy semi GID-space, pairwise fuzzy semi door space are also discussed in this paper.

Keywords

Acknowledgement

The authors wish to extend sincere thanks to the Referees for their comments and suggestions towards the improvement of this paper.

References

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