Looking at decisiveness as crucial, we discuss the existence of an order-preserving function

for the nontotal crisp preference relation naturally associated to a nontotal fuzzy preference relation.

We further present conditions for the existence of an upper semicontinuous order-preserving function

for a fuzzy binary relation on a crisp topological space

Bevilacqua, Paolo

Bosi, Giann

Zuanon, Magali Ernestine

Multidisciplinary Digital Publishing Institute