Some Considerations on Fuzzy Conditional Inference (original) (raw)

Some Methods of Fuzzy Reasoning

ADVANCES IN FUZZY SET THEORY AND APPLICATIONS M.M. Gupta, R.K. Ragade, R.R. Yager (Editors), North-Holland Publishing Company 1979, 1979

L.A. Zadeh and E.H. Mamdani proposed the methods for fuzzy reasoning in which the antecedent involves a fuzzy conditional proposition "If x is A then y is-B" with A and B being fuzzy concepts. This paper points out that the consequences inferred by their methods do not always fit our intuitions, and suggests some new methods which fit our intuitions under several criteria such as modus ponens and modus tollens .

1.1. Fuzzy Rules and Inference Mechanisms

2016

We present and analyze inference method called Perception-based Logical Deduction (PbLD) aimed at the treatment of fuzzy IF-THEN rules as linguis-tically expressed genuine logical implications. Be-sides the original PbLD, we propose a new balanc-ing variant of PbLD, introduce both variants with fuzzy inputs and study them from the point of view of the interpolativity property.

Fuzzy Systems of Logical Inference and Their Applications

2015

The approaches to the solution of various problems of artificial intelligence methods are proposed. In particular, the problem of knowledge representation by means of fuzzy specifications in expert systems, the problem of recognizing the structures of the proteins of different organization levels and the problem of building linguistic models in fuzzy Boolean variables logic are considered. All methods are based on the ideas of inductive mathematics. To investigate a reliability of these methods is possible only with the help of the theory of probability or possibility theory.

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