On approximate reasoning with graded rules

Generalized Implicative Model of a Fuzzy Rule Base and its Properties

In this contribution, an implicative variant of the conjunctive normal form will be recalled and further studied. This normal form is an alternative to the Perfilieva’s conjunctive normal form. It will be shown that it is a suitable model for a particular case of graded fuzzy rules introduced as a generalization of classical fuzzy rules. Moreover, approximation properties of the implicative var...

PROPERTY ANALYSIS OF TRIPLE IMPLICATION METHOD FOR APPROXIMATE REASONING ON ATANASSOVS INTUITIONISTIC FUZZY SETS

Firstly, two kinds of natural distances between intuitionistic fuzzy sets are generated by the classical natural distance between fuzzy sets under a unified framework of residual intuitionistic implication operators. Secondly, the continuity and approximation property of a method for solving intuitionistic fuzzy reasoning are defined. It is proved that the triple implication method for intuitio...

Fuzzy Rule-Based Models for Case-Based Reasoning

This paper is an attempt at providing a fuzzy set-based formalization of case-based reasoning. The proposed approach, which does not take into account the learning aspects of case-based reasoning, assumes a principle stating that "the more similar are the problem description attributes, the more similar are the outcome attributes". A weaker form of this principle concluding only on the graded p...

Generalized If ... Then ... Else Inference Rules with Linguistic Modifiers for Approximate Reasoning

In this paper, based on the our previous researchs about generalized modus ponens with linguistic modifiers for If ... Then rules, we propose generalized If...Then...Else inference rules with linguistic modifiers in linguistic many–valued logic framework with using hedge moving rules for approximate reasoning.

Approximate Reasoning Methods inVagueness : Graded and Rough Consequences