Title :
Overlap Indices: Construction of and Application to Interpolative Fuzzy Systems
Author :
Garcia-Jimenez, Santiago ; Bustince, Humberto ; Hullermeier, Eyke ; Mesiar, Radko ; Pal, Nikhil R. ; Pradera, Ana
Author_Institution :
Dept. de Autom. y Comput., Univ. Publica de Navarra, Pamplona, Spain
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.
Keywords :
fuzzy reasoning; fuzzy set theory; interpolation; continuity function; fuzzy sets; general properties; inference algorithm generalization; interpolative fuzzy systems; invariance function; minimal axiom set; overlap functions; overlap indices; Educational institutions; Electronic mail; Fuzzy sets; Fuzzy systems; Indexes; Inference algorithms; Interpolation; Aggregation function; fuzzy rules; interpolative fuzzy systems; overlap function; overlap index;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2014.2349535
