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Get Free AccessThe 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.
Rafael Alejandro Espín Andrade, Erick González Caballero, Witold Pedrycz, Eduardo R. Fernández González (2015). Archimedean-Compensatory Fuzzy Logic Systems. , 8(Supplement 2), DOI: https://doi.org/10.1080/18756891.2015.1129591.
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Type
Article
Year
2015
Authors
4
Datasets
0
Total Files
0
Language
en
DOI
https://doi.org/10.1080/18756891.2015.1129591
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