Paper Info
Title
A New Distance For Interval Type-2 Fuzzy Sets With An Application To Clustering
Abstract
Type-2 fuzzy sets are generalizations of ordinary fuzzy sets, in which membership grades are characterized by fuzzy membership functions. Here, a problem of finding distance between two interval type-2 fuzzy sets (IT2-FSs) was considered. Based on a new definition of centroid for an IT2-FS, a formulation for calculation of the distance between two IT2-FSs was introduced, and an algorithm was explained to obtain it. The proposed distance formula was incorporated in Yang and Shih's clustering algorithm to reach a clustering method for interval type-2 fuzzy data sets. The applicability of the proposed distance formula was evaluated using two artificial and real data sets, and reasonable results were obtained.
Year
DOI
Venue
2014
10.1142/S1469026814500205
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE AND APPLICATIONS
Keywords
Field
DocType
Interval type-2 fuzzy sets, fuzzy distance, hierarchical clustering
Fuzzy clustering,Pattern recognition,Fuzzy classification,Defuzzification,Computer science,Fuzzy set operations,Algorithm,Fuzzy set,Artificial intelligence,Type-2 fuzzy sets and systems,Fuzzy number,Membership function
Journal
Volume
Issue
ISSN
13
4
1469-0268
Citations 
PageRank 
References 
0
0.34
14
Authors
3
Name
Order
Citations
PageRank
Armaghan Heidarzade1835.16
Nezam Mahdavi-amiri237139.95
Iraj Mahdavi338832.30