Journal of Function Spaces (Jan 2021)

New Results on I2-Statistically Limit Points and I2-Statistically Cluster Points of Sequences of Fuzzy Numbers

  • Ö. Kişi,
  • M. B. Huban,
  • M. Gürdal

DOI
https://doi.org/10.1155/2021/4602823
Journal volume & issue
Vol. 2021

Abstract

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In this paper, some existing theories on convergence of fuzzy number sequences are extended to I2-statistical convergence of fuzzy number sequence. Also, we broaden the notions of I-statistical limit points and I-statistical cluster points of a sequence of fuzzy numbers to I2-statistical limit points and I2-statistical cluster points of a double sequence of fuzzy numbers. Also, the researchers focus on important fundamental features of the set of all I2-statistical cluster points and the set of all I2-statistical limit points of a double sequence of fuzzy numbers and examine the relationship between them.