Fuzzy Data Processing Beyond Min t-Norm

Authors

Andrzej Pownuk, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Songsak Sriboonchitta, Chiang Mai UniversityFollow

Publication Date

12-2016

Comments

Technical Report: UTEP-CS-16-101

Abstract

Usual algorithms for fuzzy data processing -- based on the usual form of Zadeh's extension principle -- implicitly assume that we use the min "and"-operation (t-norm). It is known, however, that in many practical situations, other t-norms more adequately describe human reasoning. It is therefore desirable to extend the usual algorithms to situations when we use t-norms different from min. Such an extension is provided in this paper.