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.

引用

页码：109 / 120

页数：12

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