Explainable Neural Networks Based on Fuzzy Logic and Multi-criteria Decision Tools by József Dombi & Orsolya Csiszár
Author:József Dombi & Orsolya Csiszár
Language: eng
Format: epub
ISBN: 9783030722807
Publisher: Springer International Publishing
5.2 Preliminaries
The concept of aggregative operators and uninorms will play an important role in the sequel.
Definition 5.1
(See Dombi [1]) An aggregative operator is a function with the following properties: 1.
Continuous on ;
2.
if if ;
3.
and (boundary conditions);
4.
There exists a strong negation such that (the self-De Morgan identity) if ;
5.
or
Definition 5.2
(See Yager and Rybalov [2]) A mapping is a uninorm, if it is symmetric, associative, nondecreasing and there exists an such that for all
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