Applications of Lacunary Sequences to Develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i5.3708

Keywords:

lacunary sequence, ideal convergence, Orlicz function, sequence of fuzzy numbers, difference sequence

Abstract

In the present paper, we introduce and study ideal convergence of some fuzzy sequence spaces via lacunary sequence, infinite matrix and Orlicz function. We study some topological and algebraic properties of these spaces. We also make an effort to show that these spaces are normal as well as monotone. Further, it is very interesting to show that if $I$ is not maximal ideal then these spaces are not symmetric.

Author Biographies

  • Kuldip Raj, Shri Mata Vaishno Devi University
    Mathematics
  • S. A. Mohiuddine, King Abdulaziz University
    Mathematics

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Published

2020-12-27

Issue

Section

Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

How to Cite

Applications of Lacunary Sequences to Develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function. (2020). European Journal of Pure and Applied Mathematics, 13(5), 1131-1148. https://doi.org/10.29020/nybg.ejpam.v13i5.3708