Paper Info
Title
Application of satisfactory degree to interval-valued intuitionistic fuzzy multi-attribute decision making.
Abstract
The aim of this paper is to propose a satisfactory degree method by using nonlinear programming for solving multi attribute decision making (MADM) problems in which ratings of alternatives on attributes is expressed via interval-valued intuitionistic fuzzy (IVIF) sets and preference information on attributes is incomplete. Concretely, a nonlinear programming model is firstly explored to determine the satisfactory degree which is the ratio of the square of the weight Euclidean distance between an alternative and the IVIF negative ideal solution (IVIFNIS) to the sum of the square of the weight Euclidean distance between the IVIF negative ideal solution (IVIFNIS) and the IVIF positive ideal solution (IVIFPIS). Another nonlinear programming model is also developed to obtain satisfactory intuitionistic fuzzy sets, and then the general satisfactory degrees of the satisfactory intuitionistic fuzzy sets are used to generate the ranking order of the alternatives. Finally, a real example is employed to verify the applicability of the proposed approach and illustrate its practicality and effectiveness.
Year
DOI
Venue
2017
10.3233/JIFS-16557
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Fuzzy multi-attribute decision making,interval-valued intuitionistic fuzzy set,satisfactory degree,mathematical programming
Fuzzy logic,Artificial intelligence,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
32
1
1064-1246
Citations 
PageRank 
References 
2
0.37
41
Authors
4
Name
Order
Citations
PageRank
Gao-Feng Yu120.37
Deng-Feng Li296846.12
Jin-Ming Qiu320.37
Yin-Fang Ye430.72