Paper Info
Title
Area ranking of fuzzy numbers based on positive and negative ideal points
Abstract
The maximizing set and minimizing set method is a popular ranking approach for fuzzy numbers, which ranks them based on their left, right and total utilities. This paper presents an alternative ranking approach for fuzzy numbers called area ranking based on positive and negative ideal points, which defines two new alternative indices for the purpose of ranking. The two new indices are defined in terms of a decision maker (DM)'s attitude towards risks and the left and the right areas between fuzzy numbers and the two ideal points. It is shown that the area ranking approach has strong discrimination power and can rank fuzzy numbers that are unable to be discriminated by the maximizing set and minimizing set method. It is also shown that the DM's attitude towards risks may have a significant impact on the ranking of fuzzy numbers. As a side product, a new defuzzification formula is also developed and discussed.
Year
DOI
Venue
2009
10.1016/j.camwa.2009.07.064
Computers & Mathematics with Applications
Keywords
Field
DocType
risk attitude,ideal point,fuzzy numbers,maximizing set,negative ideal point,popular ranking approach,area ranking approach,alternative ranking approach,new index,fuzzy number,minimizing set,new alternative index,new defuzzification formula,defuzzification,area ranking,right area,decision maker
Data mining,Mathematical optimization,Ranking,Defuzzification,Fuzzy classification,Ranking SVM,Fuzzy set operations,Fuzzy number,Mathematics,Software development,Decision maker
Journal
Volume
Issue
ISSN
58
9
Computers and Mathematics with Applications
Citations 
PageRank 
References 
34
1.20
25
Authors
2
Name
Order
Citations
PageRank
Ying-Ming Wang13256166.96
Ying Luo246720.48