On almost statistical convergence of generalized difference sequences of fuzzy numbers

Abstract

The purpose of this paper is to introduce the concepts of almost statistical convergence and strongly almost convergence of generalized difference sequences of fuzzy numbers. We obtain some results related to these concepts. It is also shown that almost Δ^r _λ ‐ statistical convergence and strongly almost Δ^r _λ ‐convergence are equivalent for Δ^r ‐bounded sequences of fuzzy numbers.

Šio straipsnio tikslas supažindinti su beveik statistinio ir stipriai beveik statistinio apibendrintu fuzzy skaičiu konvergavimo savokomis. Straipsnyje taip pat parodyta, kad beveik Δ^r _λ ‐ statistinis konvergavimas ir stipriai beveik Δ^r _λ ‐ statistinis konvergavimas yra ekvivalentus Δ^r _λ ‐ apribotoms fuzzy skaičiu sekoms.

Key words:

• Fuzzy number
• statistical convergence
• difference sequence