ON (λ, μ)-STATISTICAL CONVERGENCE OF DOUBLES EQUENCES ON INTUITIONISTIC FUZZY NORMED SPACES

被引：29
|
作者：
Kumar, Vijay [1 ]
Mursaleen, M. [2 ]
机构：
[1] Haryana Coll Tech & Mgt, Dept Math, Kaithal 136027, Haryana, India
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
FILOMAT | 2011年 / 25卷 / 02期
关键词：
t-norm; t-conorm; intuitionistic fuzzy normed space; statistical convergence; generalized statistical convergence; double sequence; STATISTICAL CONVERGENCE;
D O I：
10.2298/FIL1102109K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define (lambda, mu)-statistical convergence and (lambda, mu)-statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where lambda = (lambda(n)) and mu = (mu(m)) be two non-decreasing sequences of positive real numbers such that each tending to infinity and lambda(n+1) <= lambda(n)+1, lambda(1)=1; mu(m+1)<=mu(m) + 1, mu(1) = 1. We display example that shows our method of convergence is more general for double sequences in intuitionistic fuzzy normed spaces.
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页码：109 / 120
页数：12
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