English, Article edition: ON ASYMPTOTICALLY λ-STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS EKREM SAVAÅ

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Bookmark: http://trove.nla.gov.au/version/133147
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  • article
Language
  • English

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Title
  • ON ASYMPTOTICALLY λ-STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS
Author
  • EKREM SAVAÅ
Physical Description
  • article
Notes
  • This paper presents the following definition which is a natural combination of the definitions for asymptotically equivalent and λ-statistical convergence of fuzzy numbers. The two sequences [X] and [Y] of fuzzy numbers are said to be asymptotically λ-statistical equivalent of multiple L provided that for every â > 0 \[ \lim_{n} \frac{1}{\lambda_{n}}\left |\left \{k\in I_{n}{:}\ d\left(\frac{X_{k}}{Y_{k}},L\right) \geq \epsilon \right \}\right |=​0 \] (denoted by $X \stackrel{S_{\lambda}^{L}(F)}{\sim} Y$) and simply asymptotically λ-statistical equivalent if L =​ 1. In addition, we shall also present asymptotically equivalent analogs of Savas's theorems in Ref. 7.
  • Fuzzy numbers, asymptotically equivalent, asymptotically λ-statistical equivalent
  • RePEc:wsi:nmncxx:v:03:y:2007:i:03:p:301-306
Language
  • English
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