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Generalized modus Ponens using various implications and T-norm product with threshold

Generalized modus Ponens using various implications and T-norm product with threshold Using Generalized Modus Ponens reasoning, we examine the values of the inferred conclusion depending on the correspondence between the premise of the rule and the observed fact. The conclusion is obtained using a set of implications in order to represent a fuzzy if-then rule with a single input single output and the t-norm with threshold generated by t-norm T(x,y) = xy, as a compositional operator. Some comments and an example are presented in order to show how the obtained results can be used. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Mathematics and Artificial Intelligence Springer Journals

Generalized modus Ponens using various implications and T-norm product with threshold

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References (20)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer Science+Business Media Dordrecht
Subject
Computer Science; Artificial Intelligence (incl. Robotics); Mathematics, general; Computer Science, general; Statistical Physics, Dynamical Systems and Complexity
ISSN
1012-2443
eISSN
1573-7470
DOI
10.1007/s10472-013-9382-6
Publisher site
See Article on Publisher Site

Abstract

Using Generalized Modus Ponens reasoning, we examine the values of the inferred conclusion depending on the correspondence between the premise of the rule and the observed fact. The conclusion is obtained using a set of implications in order to represent a fuzzy if-then rule with a single input single output and the t-norm with threshold generated by t-norm T(x,y) = xy, as a compositional operator. Some comments and an example are presented in order to show how the obtained results can be used.

Journal

Annals of Mathematics and Artificial IntelligenceSpringer Journals

Published: Oct 23, 2013

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