Redundancies in systems of fuzzy/linguistic IF-THEN rules

Antonı́n Dvořák, Martin Štěpnička, Lenka Vavříčková · 2011

In this paper we will investigate which fuzzy/linguistic rules are redundant in systems of such rules called linguistic descriptions.We present a formal definition of redundancy and show that rules which are seemingly redundant can be in fact indispensable.These results apply for IF-THEN rules which use evaluative linguistic expressions (e.g., small, very big, etc.) and inference method called perception-based logical deduction (PbLD).However, they are also valid for inference systems which use compatible design choices with PbLD.

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