Owing to the uncertainty and vagueness of practical decision-making problems, it is more convenient for decision-makers (DMs) express evaluation information with fuzzy preference relations (FPRs) than precise numerical values. As two important issues in process FPRs, improving consistency acquiring priority weights are worth further studying. In this paper, we first provide an approach construc...

This paper introduces a new approach to classification which combines pairwise decomposition techniques with ideas and tools from fuzzy preference modeling. More specifically, our approach first decomposes a polychotomous classification problem involving m classes into an ensemble of binary problems, one for each ordered pair of classes. The corresponding classifiers are trained on the relevant...

In group decision-making, experts’ preferences are usually expressed by means of fuzzy preference relations. Because not all experts may be capable of maintaining consistency between all the possible pair of feasible options of the problem, it is worthwhile evaluating the degree of inconsistency of a fuzzy preference relation so that more importance can be given to the more consistent experts. ...

In decision-making, information is usually provided by means of fuzzy preference relations. However, there may be cases in which experts do not have an in-depth knowledge of the problem to be solved, and thus their fuzzy preference relations may be incomplete, i.e. some values may not be given or may be missing. In this paper we present a procedure to find out the missing values of an incomplet...

In this paper two new concepts are introduced: the similarity and the (∗,δ)-equality of fuzzy choice functions. We investigate the manner the similarity and (∗,δ)-equality behave with respect to some fundamental concepts of fuzzy revealed preference theory. Keywords– Fuzzy choice function, Revealed preference, Similarity relation.

We consider properties of intuitionistic fuzzy preference relations. We study preservation of a preference relation by lattice operations, composition and some Atanassov’s operators like Fα,β , Pα,β , Qα,β , where α, β ∈ [0, 1]. We also define semi-properties of intuitionistic fuzzy relations, namely reflexivity, irreflexivity, connectedness, asymmetry, transitivity. Moreover, we study under wh...

The facility location selection, which is one of the important activities in strategic planning for a wide range of private and public companies, is a multi-criteria decision making problem including both quantitative and qualitative criteria. Traditional methods for facility location selection can not be effectively handled because information can not be represented by precise information unde...

A fuzzy option prioritization technique is developed to efficiently model uncertain preferences of DMs in strategic conflicts as fuzzy preferences by using the decision makers’ (DMs’) fuzzy truth values of preference statements at feasible states within the framework of the Graph Model for Conflict Resolution. The preference statements of a DM express desirable combinations of options or course...

The composition of fuzzy relations for their uniting in multicriteria decision making problems is considered. Some criteria evaluate a set of alternatives by fuzzy preference relations. The comparison between the criteria importance is given as a fuzzy preference relation too. Aggregation of these relations is made with the help of a composition of the couple of the relations by the criteria an...

Software selection is not a well-defined or structured decision problem. Lai et al. [5] uses the Analytic Hierarchy Process (AHP) method to solve a Multimedia authoring systems (MAS) selection problem. However, the AHP method is difficult to obtain a convincing consistency index when the number of attributes or alternatives is increased. Hence, this paper applies the fuzzy preference relation (...