Convergence of intuitionistic fuzzy sets

被引：4

作者：

Bashir, Zia ^{[1
]}

Rashid, Tabasam ^{[2
]}

Zafar, Sohail ^{[2
]}

机构：

[1] Univ Cent Punjab, Fac IT, Lahore, Pakistan

[2] Univ Management & Technol, Lahore, Pakistan

来源：

CHAOS SOLITONS & FRACTALS | 2015年 / 81卷

关键词：

Intuitionistic fuzzy sets; Pointwise convergence; Gamma-convergence; Hausdroff metric; Supremum metric; RESPECT;

D O I：

10.1016/j.chaos.2015.08.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define pointwise convergence, uniform convergence, Gamma-convergence and convergence in supremum metric for the intuitionistic fuzzy sets. The uniform convergence is in the topology induced by lower and upper pseudo metrics. The Gamma-convergence is the Kuratowski-Painleve convergence of the endographs of the intuitionistic fuzzy sets. The supremum metric is the supremum of Hausdroff distance among the zeta-cuts of the intuitionistic fuzzy sets. We discuss the mutual relationship of these convergences. Topological structures are also discussed in detail. Adequate number of examples are given to illustrate the relationship among these convergences. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：11 / 19

页数：9

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6TH INTERNATIONAL CONFERENCE ON AMBIENT SYSTEMS, NETWORKS AND TECHNOLOGIES (ANT-2015), THE 5TH INTERNATIONAL CONFERENCE ON SUSTAINABLE ENERGY INFORMATION TECHNOLOGY (SEIT-2015), 2015, 52 :1192-1197

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