In some important group decision making, a moderator representing the collective interest, who has predetermined , and possesses an effective leadership and strong interpersonal communication and negotiation skills, is crucial to the consensus reaching. In the process of consensus reaching, the moderator needs to persuade each individual to change his/her opinion towards a consensus opinion by ...

We consider a consensus reaching process in a group of individuals meant as an attempt to make preferences of the individuals more and more similar, that is, getting closer and closer to consensus. We assume a general form of intuitionistic fuzzy preferences and a soft definition of consensus that is basically meant as an agreement of a considerable (e.g., most, almost all) majority of individu...

Bivalency argument is a widely-used technique that employs forward induction to show impossibility results and lower bounds related to consensus. However, for a synchronous distributed system of n processes with up to t potential and f actual crash failures, applying bivalency argument to prove the lower bound for reaching uniform consensus is still an open problem. In this paper, we address th...

Consensus reaching models are widely applied in group decision making problems to improve the group’s consensus level before making a common decision. Within the context of the group Analytic Hierarchy Process (AHP), a novel consensus reaching model in a dynamic decision environment is proposed. A Markov chain method can be used to determine the decision makers’ weights of importance for the ag...

A new consensus model for the consensus reaching process, in a linguistic framework, is presented in heterogeneous group decision making problems, called rational consensus model. It is guided by some linguistic consensus and linguistic consistency meaures. All the measures are calculated from a set of linguistic preference relations used to provide experts' opinions. This consensus model allow...