Intuitionistic Fuzzy Logic Is Not Always Equivalent to Interval-Valued One

Authors

Christian Servin, El Paso Community CollegeFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

10-2016

Comments

Technical Report: UTEP-CS-16-70

Abstract

It has been shown that from the purely mathematical viewpoint, the (traditional) intuitionistic fuzzy logic is equivalent to interval-valued fuzzy logic. In this paper, we show that if we go beyond the traditional "and"- and "or"-operations, then intuitionistic fuzzy logic becomes more general than the interval-valued one.