Arithmetic Mean Based Compensatory Fuzzy Logic

AGUSTINA BOUCHET; JUAN IGNACIO PASTORE; RAFAEL ESPIN; MARCEL BRUN; VIRGINIA BALLARIN

International Journal of Computational Intelligence and Applications

Imperial College Press

Lugar: Londres; Año: 2011 vol. 10 p. 1 - 13

1757-5885

Fuzzy Logic is a multi-valued logic model based on fuzzy set theory, which may be considered as an extension of Boolean Logic. One of the fields of this theory is the Compensatory Fuzzy Logic, based on the removal of some axioms in order to achieve a sensitive and idempotent multi-valued system. This system is based on a quadruple of continuous operators: conjunction, disjunction, order and negation. In this work we present a new model of Compensatory Fuzzy Logic based on a different set of operators, conjunction and disjunction, than the ones used in the original definition, and then prove that this new model satisfies the required axioms. As an example we present an application to decision making, comparing the results against the ones based on the original model.