A note on double lacunary statistical σ-convergence of fuzzy numbers

被引：0
|
作者：
Savas, Ekrem [1 ]
机构：
[1] Istanbul Commerce Univ, Dept Math, Istanbul, Turkey
来源：
SOFT COMPUTING | 2012年 / 16卷 / 04期
关键词：
Double lacunary sequence; P-convergent; Fuzzy numbers; Invariant mean; DOUBLE SEQUENCES;
D O I：
10.1007/s00500-011-0757-5
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Quite recently, Savas, (Appl Math Lett 21: 134141, 2008), defined the lacunary statistical analogue for double sequence X - {X-k,X-l} of fuzzy numbers as follows: a double sequence X = {X-k,X-l} is said to be lacunary P- statistically convergent to X0 provided that for each P - lim(r,s)1/h(r,s)vertical bar{(k, 1) is an element of I-r,I-s : d(X-k,X-l, X-0) >= epsilon}vertical bar = 0 In this paper we introduce and study double lacunary rstatistical convergence for sequence of fuzzy numbers and also we get some inclusion theorems.
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页码：591 / 595
页数：5
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