Generalized intuitionistic fuzzy soft sets with applications in decision-making

被引：157
|
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.
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页码：3552 / 3566
页数：15
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