Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers
نویسندگان
چکیده
منابع مشابه
On Lacunary Statistical Limit and Cluster Points of Sequences of Fuzzy Numbers
For any lacunary sequence $theta = (k_{r})$, we define the concepts of $S_{theta}-$limit point and $S_{theta}-$cluster point of a sequence of fuzzy numbers $X = (X_{k})$. We introduce the new sets $Lambda^{F}_{S_{theta}}(X)$, $Gamma^{F}_{S_{theta}}(X)$ and prove some inclusion relaions between these and the sets $Lambda^{F}_{S}(X)$, $Gamma^{F}_{S}(X)$ introduced in ~cite{Ayt:Slpsfn} by Aytar [...
متن کاملLacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers
The aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers. Some inclusion relations among the sets of ordinary limit points, statistical limit points, statistical cluster points, lacunary statistical limit points, and lacunary statistical cluster points for these type of sequences ar...
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for any lacunary sequence $theta = (k_{r})$, we define the concepts of $s_{theta}-$limit point and $s_{theta}-$cluster point of a sequence of fuzzy numbers $x = (x_{k})$. we introduce the new sets $lambda^{f}_{s_{theta}}(x)$, $gamma^{f}_{s_{theta}}(x)$ and prove some inclusion relaions between these and the sets $lambda^{f}_{s}(x)$, $gamma^{f}_{s}(x)$ introduced in ~cite{ayt:slpsfn} by aytar [...
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متن کاملLacunary statistical cluster points of sequences
In this note we introduce the concept of a lacunary statistical cluster ( l.s.c.) point and prove some of its properties in finite dimensional Banach spaces. We develop the method suggested by S. Pehlivan and M.A. Mamedov [20] where it was proved that under some conditions optimal paths have the same unique stationary limit point and stationary cluster point. We also show that the set Γx of l.s...
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ژورنال
عنوان ژورنال: Advances in Fuzzy Systems
سال: 2012
ISSN: 1687-7101,1687-711X
DOI: 10.1155/2012/459370