Universal Approximation Theorem for Uninorm-Based Fuzzy Systems Modeling

Authors

Ronald R. Yager
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

10-2002

Comments

UTEP-CS-00-35b.

To appear in Fuzzy Sets and Systems.

Abstract

Most existing universal approximation results for fuzzy systems are based on the assumption that we use t-conorms and t-conorms to represent "and" and "or". Yager has proposed to use, within the fuzzy system modeling paradigm, more general operations based on uninorms. In this paper, we show that the universal approximation property holds for an arbitrary choice of a uninorm.