A Study On The G Stochastic Transitivity Of Fuzzy Relations

Abstrct This paper considers the properties of a g stochastic transitivity on a set of alternatives. First, it discusses the connections among a T transitivity, an S negative transitivity and a g stochastic transitivity for probabilistic relations. Secondly, it defines the dual transitivity of a g stochastic transitivity in [0,1/2], then investigates the transitivity of Q which is a preference relation and a g stochastic transitivity in [0,1]. In the end, it revises and completes some results given by Bonifacio et al. in his paper "collective transitivity in majorities based on difference in support"(Fuzzy Sets and Systems,2013,216:3-15).