International Journal of Computational Intelligence Systems

Volume 9, Issue 4, August 2016, Pages 612 - 626

An Interpretable Logical Theory: The case of Compensatory Fuzzy Logic

Authors
Rafael A. Espin-Andrade
Universidad Autónoma de Coahuila, Blvd Revolución y Donato Guerra, s/n
Erick Gonzalez
Mathematical Center for Technical Sciences, Higher Technical University of Havana, 27 Calle 114 # 11901 e/ Ciclovía y Rotonda, Marianao, Havana, Cuba
Witold Pedrycz
Department of Electrical and Computer Engineering, University of Alberta, AB T6R 2G7, Edmonton, Canada
Eduardo Fernandez
Autonomous University of Sinaloa, Calzada de las Americas y Boulevard Universitarios s/n, Culiacán Rosales, Sinaloa 80040, Mexico
Received 5 August 2015, Accepted 20 February 2016, Available Online 1 August 2016.
DOI
10.1080/18756891.2016.1204111How to use a DOI?
Keywords
Interpretability; Compensatory Fuzzy Logic
Abstract

This paper aims to formally define a concept of interpretability according to natural language of a logical theory, and show advances for demonstrating that the logic system called Compensatory Fuzzy Logic is interpretable. A logical theory is interpretable according to natural language if the calculus based upon the elements of this logical theory can be understood in natural language and vice versa. We present conditions necessary for a logical theory to be called interpretable, especially Compensatory Fuzzy Logic.

Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
9 - 4
Pages
612 - 626
Publication Date
2016/08/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2016.1204111How to use a DOI?
Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Rafael A. Espin-Andrade
AU  - Erick Gonzalez
AU  - Witold Pedrycz
AU  - Eduardo Fernandez
PY  - 2016
DA  - 2016/08/01
TI  - An Interpretable Logical Theory: The case of Compensatory Fuzzy Logic
JO  - International Journal of Computational Intelligence Systems
SP  - 612
EP  - 626
VL  - 9
IS  - 4
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2016.1204111
DO  - 10.1080/18756891.2016.1204111
ID  - Espin-Andrade2016
ER  -