A contour view on uninorm properties
Any given increasing 10, 1](2) --> [0, 1] function is completely determined by its contour lines. In this paper we show how each individual uninorm property can be translated into a property of contour lines. In particular, we describe commutativity in terms of orthosymmetry and we link associativity to the portation law and the exchange principle. Contrapositivity and rotation invariance are used to characterize uninorms that have a continuous contour line.
uninorm contour line orthosymmetry portation law exchange principle rotation invariance contrapositive symmetry self quasi-inverse property