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


AYTAR S. , PEHLİVAN S.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.37, ss.573-584, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 37 Konu: 5
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1080/03081070701607342
  • Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Sayfa Sayıları: ss.573-584

Özet

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.