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On w-Convergence and s-Convergence in Intuitionistic Fuzzy Pseudo Normed Spaces

Author

Listed:
  • Bivas Dinda

    (Department of Mathematics, Mahishamuri Ramkrishna Vidyapith, Howrah 711401, West Bengal, India)

  • Santanu Kumar Ghosh

    (Department of Mathematics, Kazi Nazrul University, Asansol, West Bengal, India)

  • T. K. Samanta

    (Department of Mathematics, Uluberia College, Howrah 711315, West Bengal, India)

Abstract

This paper analyzes the study of convergence in intuitionistic fuzzy pseudo normed linear space (IFPNLS) in two different directions. First, we study the weaker (more general) concept of convergence in IFPNLS called w-convergence and characterize the principal IFPNLS in which w-convergence and convergence are equivalent. Then we study a stronger concept of convergence said to be s-convergence in IFPNLS and investigate the properties of s-convergence.

Suggested Citation

  • Bivas Dinda & Santanu Kumar Ghosh & T. K. Samanta, 2021. "On w-Convergence and s-Convergence in Intuitionistic Fuzzy Pseudo Normed Spaces," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 623-632, November.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500319
    DOI: 10.1142/S1793005721500319
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