International Journal of Computational Intelligence Systems

Volume 8, Issue Supplement 2, December 2015, Pages 54 - 62

Archimedean-Compensatory Fuzzy Logic Systems

Authors
Rafael A. Espin-Andrade, Erick González Caballero, Witold Pedrycz, Eduardo R. Fernández González
Corresponding Author
Rafael A. Espin-Andrade
Received 5 August 2015, Accepted 30 October 2015, Available Online 1 December 2015.
DOI
10.1080/18756891.2015.1129591How to use a DOI?
Keywords
Archimedean fuzzy logic, Compensatory fuzzy logic
Abstract

The paper aims to define a new kind of logic, referred to as Archimedean-Compensatory Logic, which is constructed from the unification of two different fuzzy logic systems, namely a continuous Archimedean fuzzy logic and a compensatory fuzzy logic. The paper introduces basic definitions and properties of this new theory. Continuous Archimedean logic is a t-norm and t-conorm logic system and Compensatory Fuzzy Logic can be obtained from quasi-arithmetic mean operators. We will prove the property that the preference over a pair of truth-value vectors is the same for certain predicates in the Compensatory Fuzzy Logic and the Continuous Archimedean Logic.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
8 - Supplement 2
Pages
54 - 62
Publication Date
2015/12/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2015.1129591How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Rafael A. Espin-Andrade
AU  - Erick González Caballero
AU  - Witold Pedrycz
AU  - Eduardo R. Fernández González
PY  - 2015
DA  - 2015/12/01
TI  - Archimedean-Compensatory Fuzzy Logic Systems
JO  - International Journal of Computational Intelligence Systems
SP  - 54
EP  - 62
VL  - 8
IS  - Supplement 2
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1129591
DO  - 10.1080/18756891.2015.1129591
ID  - Espin-Andrade2015
ER  -