Generalized intuitionistic fuzzy soft sets with applications in decision-making

被引：160

作者：

Agarwal, Manish ^{[1
]}

Biswas, Kanad K. ^{[1
]}

Hanmandlu, Madasu ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Comp Sci & Engn, New Delhi 110016, India

[2] Indian Inst Technol, Dept Elect Engn, New Delhi 110016, India

来源：

APPLIED SOFT COMPUTING | 2013年 / 13卷 / 08期

关键词：

Generalized; Intuitionistic fuzzy soft sets; Intuitionistic fuzzy soft relations; Multi criteria decision making; Score function; Similarity relation; SUPPLIER SELECTION; MODEL;

D O I：

10.1016/j.asoc.2013.03.015

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The concept of intuitionistic fuzzy soft set (IFSS) arising from intuitionistic fuzzy set (IFS) is generalized by including a parameter reflecting a moderator's opinion about the validity of the information provided. The resulting generalized intuitionistic fuzzy soft set (GIFSS) finds a special role in the decision making applications. It can evaluate the given criteria along with the moderator's assessment of the furnished data. The properties of GIFSS are investigated and the associated relations called generalized intuitionistic fuzzy soft relations (GIFSR) are given. A similarity measure is given to compare two GIFSSs. As this is not applicable to fuzzy numbers, a new score function is devised to compare two intuitionistic fuzzy numbers (IFNs), the components of IFS. The effectiveness of the proposed GIFSS in decision making is demonstrated on four case studies. (C) 2013 Elsevier B. V. All rights reserved.

引用

页码：3552 / 3566

页数：15

共 34 条

[31] Some geometric aggregation operators based on intuitionistic fuzzy sets [J].

Xu, Zeshui ;

Yager, Ronald R. .

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2006, 35 (04) :417-433

[32] Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment [J].

Ye, Jun .

EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (03) :6899-6902

[33]

ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI [10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]

[34] Intuitionistic Fuzzy Sets with Double Parameters and Its Application to Multiple Attribute Decision Making of Urban Planning [J].

Zhang, Zhenhua ;

Yang, Jingyu ;

Ye, Youpei ;

Wang, Min .

2011 INTERNATIONAL CONFERENCE ON GREEN BUILDINGS AND SUSTAINABLE CITIES, 2011, 21 :496-502

← 1 2 3 4 →