A common criticism to simple majority voting rule is the slight support that such rule demands to declare an alternative as a winner. Among the distinct majority rules used for diminishing this handicap, we focus on majorities based on difference in support. With these majorities, voters are allowed to show intensities of preference among alternatives through reciprocal preference relations. Th...

As it is known, most decision processes are based on preference relations, in the sense that processes are linked to some degree of preference of any alternative over another. The use of preference relations is usual in decision making [1, 5, 10, 14]. Therefore, to establish properties to be verified by such preference relations is very important for designing good decision making models. One o...

Mathematical theories are pervaded with the use of partial orders and more general preorders also called quasi orders i e re exive and transitive binary rela tions Preorders also play an important role in appli cations for instance as preference relations in multi criteria decision aid techniques The observation that classical relations do not allow to express partial or graded relationships ha...

We study the transitivity of fuzzy preference relations, often considered as a fundamental property providing coherence to a decision process. We consider the transitivity of fuzzy relations w.r.t. conjunctors, a general class of binary operations on the unit interval encompassing the class of triangular norms usually considered for this purpose. Having fixed the transitivity of a large prefere...

MCMD problems with fuzzy preference information on alternatives are essential problems of the importance of weighting and ranking. In this study, the AHP method is reviewed, and then Fuzzy PreRa and incomplete linguistic preference relations methods are elucidated. This study applied above three MCDM methods to a software selection problem proposed by Lai et al. [Software selection: a case stud...

Bridges 1992 has constructively shown the existence of continuous demand function for consumers with continuous, uniformly rotund preference relations. We extend this result to the case of multivalued demand correspondence. We consider a weakly uniformly rotund and monotonic preference relation and will show the existence of convex-valued demand correspondence with closed graph for consumers wi...

Gaussian processes have successfully been used to learn preferences among entities as they provide nonparametric Bayesian approaches for model selection and probabilistic inference. For many entities encountered in real-world applications, however, there are complex relations between them. In this paper, we present a preference model which incorporates information on relations among entities. S...

Preference queries are relational algebra or SQL queries that contain occurrences of the winnow operator (find the most preferred tuples in a given relation). Such queries are parameterized by specific preference relations. Semantic optimization techniques make use of integrity constraints holding in the database. In the context of semantic optimization of preference queries, we identify two fu...