Fuzzy arithmetic based on boundary weak T-norms
In this paper we propose the new extended class of t-norm operators called the boundary weak. The aim of the extension of this operator is that the sum of the fuzzy numbers in the arithmetic based on such t-norm gives the more narrow fuzzy number if compared to arithmetic based on standard t-norm. This extension is based on the replacement of the condition T(x, 1) = x by the weaker one: T(x, 1) <= x, for x is an element of [0, 1].
fuzzy arithmetic boundary weak triangular norm extension principle theory of measurement measurement uncertainty