Title
An efficient and flexible mechanism for constructing membership functions
Abstract
This paper introduces a Bézier curve-based mechanism for constructing membership functions of convex normal fuzzy sets. The mechanism can fit any given data set with a minimum level of discrepancy. In the absence of data, the mechanism can be intuitively manipulated by the user to construct membership functions with the desired shape. Some numerical experiments are included to compare the performance of the proposed mechanism with conventional methods.
Year
DOI
Venue
2002
10.1016/S0377-2217(01)00157-6
European Journal of Operational Research
Keywords
Field
DocType
Fuzzy sets,Membership functions,Bézier curves,Measures of information,Fuzzy numbers
Mathematical optimization,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Mathematics
Journal
Volume
Issue
ISSN
139
1
0377-2217
Citations 
PageRank 
References 
16
1.53
2
Authors
4
Name
Order
Citations
PageRank
Andrés L. Medaglia163427.00
Shu-Cherng Fang2115395.41
Henry L. W. Nuttle31159.34
James R. Wilson4840143.42