On the t-transitivity of kernels

Autoren Bernhard Moser
Titel On the t-transitivity of kernels
Typ Artikel
Journal Fuzzy Sets and Systems
Nummer 13
Band 157
ISSN 0165-0114
Jahr 2006
Seiten 1787-1796
SCCH ID# 526
Abstract

In this paper, we present a view of kernels from a fuzzy set theoretical perspective. Indeed, it turns out that kernels which are positive-definite functions have to fulfill a consistency property given by the so-called T-transitivity of a fuzzy T-equivalence relation with respect to the triangular norm T. As a result, we introduce a triangular norm T_cos which is characterized as being the greatest one for which all kernels are T_cos-equivalences. Finally, a way of constructing kernels by means of fuzzy sets is outlined.