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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