We provide a methodology to perfom an extensive and systematized analysis of problems where experts voice their opinions on the attributes of projects through a hesitant fuzzy decision matrix. A weighted average of specific parametric expressions for two tenable indices of satisfaction permits...

We investigate the measurement of sociopolitical consensus in direct democracies by means of three novel Consensus Indexes. They are special cases of Approval Consensus Measures, a tool from social choice that evaluates the degree of cohesiveness in a fixed group of agents that vote on a list of...

This paper deals with electing candidates. In elections voters are frequently offered a small set of actions (voting in favor of one candidate, voting blank, spoiling the ballot, and not showing up). Thus voters can express neither a negative opinion nor an opinion on more than one candidate....

We introduce a new kind of representation of a not necessarily total preorder, called strong multi-utility representation, according to which not only the preorder itself but also its strict part is fully represented by a family of multi-objective functions. The representability by means of...

The problem of embedding incomplete into complete relations has been an important topic of research in the context of crisp relations. After Szpilrajn’s result, several variations have been published. Alcantud studied in 2009 the case where the extension is asked to satisfy some order...

We show that the problem of evaluating infinite sequences (or streams) of utilities by a unique utility (or social welfare function) can be stated in terms of fuzzy subsets of the set of infinite utility sequences. For each stream, its evaluation can be viewed as its degree of membership to the...

In many realistic group decision making problems where a “representative” collective output must be produced, it is relevant to measure how much consensus this solution conveys to the group. Many aspects influence the final decision in group decision making problems. Two key issues are the...

This paper contributes to qualifying the Basu-Mitra approach to the problem of intergenerational social choice, by analyzing the impact of the structure of the feasible set of utilities on Banerjee's (2006) impossibility theorem. We prove that if the utilities that each generation can possess...

We reexamine the analysis of Chambers (Social Choice and Welfare, 2009), that produces a characterization of a family of social welfare functions in the context of intergenerational equity: namely, those that coincide with either the sup, inf, lim sup, or lim inf rule. Reinforcement, ordinal...

In this work we are concerned with maximality issues under intransitivity of the indifference. Our approach relies on the analysis of "undominated maximals" (cf., Peris and Subiza, J Math Psychology 2002). Provided that an agent's binary relation is acyclic, this is a selection of its maximal...