Abstract Given a collection of individual preferences defined on a same finite set of candidates, we consider the problem of aggregating them into a collective preference minimizin...
Some important properties of the chromatic polynomial also hold for any polynomial set map satisfying pS(x + y) = TU=S pT (x)pU (y). Using umbral calculus, we give a formula for t...
A fixed-point free involution on a finite set S is defined as a bijection I : S S such as e S, I(I(e)) = e and e S, I(e) = e. In this article, the fixed-point free involutions ...
In this paper, the concept of a granulation order is proposed in an information system. The positive approximation of a set under a granulation order is defined. Some properties o...
We propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability mea...