Title
Overlap indices: construction of and application to interpolative fuzzy systems
Abstract
In this paper we analyze the minimal set of axioms that overlap indices between fuzzy sets must fulfill. We also present a method to build overlap indices using overlap functions and we carry on a theoretical study about the continuity, the invariance and some general properties of such indices. We present a generalization of the inference algorithm for interpolative fuzzy systems using overlap indices. We also propose an algorithm for choosing, among a set of overlap indices, the best one for a considered problem.
Year
DOI
Venue
2015
10.1109/TFUZZ.2014.2349535
Fuzzy Systems, IEEE Transactions  
Keywords
Field
DocType
fuzzy systems,interpolation,fuzzy sets,indexes
Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Artificial intelligence,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
PP
99
1063-6706
Citations 
PageRank 
References 
7
0.50
19
Authors
6
Name
Order
Citations
PageRank
Santiago Garcia-Jimenez170.50
humberto bustince sola2261.20
Eyke Hüllermeier33423213.52
Radko Mesiar43778472.41
Nikhil R. Pal54464417.55
Ana Pradera615916.09