In this work we study the necessary and sufficient conditions on a t-norm for its residual to satisfy (EP). We present a complete characterization of two ...
The case of border continuous t-norms - ScienceDirect.com
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Our main goal in this paper is to obtain a similar characterization but for the exchange principle, i.e., we want to characterize those t-norms whose residuals ...
Border-continuous t-norms. In this section, we consider the class of border- continuous t-norms and determine its sub-class whose residuals satisfy (EP) ...
R-implications and the exchange principle: The case of border ...
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We present a complete characterization of two classes of t-norms whose residuals satisfy (EP), viz., t-norms that are border-continuous and those that have an ...
It is well-known that the residual of a left-continuous t-norm satisfies the exchange principle (EP). However, the left-continuity of a t-norm is only ...
We present a complete characterization of two classes of t-norms whose residuals satisfy (EP), viz., t-norms that are border-continuous and those that have an ...
Jul 16, 2015 · It is well-known that the residual IT of a leftcontinuous t-norm T satisfies the exchange principle (EP), viz., IT (x, IT (y, z)) = IT (y, ...
The weak dominance relation between two binary operations was introduced as an extension of the dominance relation and the modularity equation.
... R-implications and the exchange principle: the case of border continuous t-norms, Fuzzy Sets and Systems 224 (2013), 93–105. Zbl1284.03183; [4] Klement E.P., ...
Jayaram, B., Baczyński, M., Mesiar, R.: R-implications and the exchange principle: the case of border continuous t-norms. Fuzzy Sets and Systems (submitted).