On Statistical Limit Points in a Fuzzy Valued Metric Space-Reference-Cited by-同舟云学术

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On Statistical Limit Points in a Fuzzy Valued Metric Space

Published:2022-03-13 Issue: Volume:9 Page:6-10
ISSN:2313-0512
Container-title:International Journal of Fuzzy Systems and Advanced Applications
language:en
Short-container-title:

Author:

Aytar S.¹,Yamancı U.¹,Gürdal M.¹

Affiliation:

1. Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey

Abstract

We introduce the concepts statistical cluster and statistical limit points of a sequence of fuzzy numbers in a fuzzy valued metric space. Then we obtain some inclusion relations between the sets of limit points, statistical limit points and statistical cluster points for a sequence of fuzzy numbers.

Publisher

North Atlantic University Union (NAUN)

Subject

Materials Chemistry

Reference20 articles.

1. Y. Altın, M. Et, and R. Çolak, “Lacunary statistical and lacunary strongly convergence of generalized difference sequences of fuzzy numbers”, Comput. Math. Appl., vol. 52, pp. 1011-1020, 2006.

2. H. Altınok, R. Çolak, and M. Et, “ λ -difference sequence spaces of fuzzy numbers”, Fuzzy Sets and Systems, vol. 160, no. 21, pp. 3128- 3139, 2009.

3. H. Altınok, Y. Altın, and M. Işık, “Statistical convergence and strong pCesàro summability of order β in sequences of fuzzy numbers, Iran. J. Fuzzy Syst., vol. 9, no. 2, pp. 63-73, 2012.

4. S. Aytar, “Statistical limit points of sequences of fuzzy numbers”, Information Sciences, vol. 165, pp. 129-138, 2004.

5. S. Aytar, “A neighbourhood systems of fuzzy numbers and its topology”, submitted.

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