NDLI: Conditions for equivalence between the compositional rule of inference and the compatibility modification inference

Content Provider	IEEE Xplore Digital Library
Author	Villar, J.
Copyright Year	1996
Description	Author affiliation: Inst. de Investigacion Tecnologia, Univ. Pontificia Comillas, Madrid, Spain (Villar, J.)
Abstract	This paper shows that the compositional rule of inference reduces to the compatibility modification inference, when the antecedent of a fuzzy rule and its input fulfil some properties. Two main types of implications are investigated, those generalising the classical material conditional (residuated and strong implications), called in this paper m-implications, and those generalising the classical Cartesian product (t-norms and pseudo-conjunctions), called t-implications. For m-implications, when their maximum modus ponens generating function is used, the compatibility measure depends obviously on the relationship between input and antecedent, but also on the t-norm the implication comes from. Similarly, for t-implications, also used as their own modus ponens generating function, the compatibility measure depends again on the input and antecedent, but also on the t-norm they come from. As it could be expected, in the first case the compatibility measure is a degree of the inclusion of the input into the antecedent, while in the second one it is a degree of the intersection of both.
Starting Page	444
Ending Page	449
File Size	436658
Page Count	6
File Format	PDF
ISBN	0780336453
DOI	10.1109/FUZZY.1996.551782
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-09-11
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Inference mechanisms
Content Type	Text
Resource Type	Article

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