Levelwise statistical cluster and limit points of a sequence of fuzzy numbers

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AYTAR S., PEHLİVAN S.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol.37, no.5, pp.573-584, 2008 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 37 Issue: 5
• Publication Date: 2008
• Doi Number: 10.1080/03081070701607342
• Journal Name: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.573-584
• Süleyman Demirel University Affiliated: Yes

Abstract

In the current work we introduce the notions of levelwise statistical limit point and levelwise statistical cluster point of a sequence of fuzzy numbers and discuss the relations between the sets of ordinary limit points, levelwise limit points, levelwise statistical limit points, statistical cluster points and levelwise statistical cluster points of a sequence of fuzzy numbers. Finally, we show that the Bolzano-Weierstrass Theorem is not valid for levelwise statistical convergence.