Núria Agell Jané

Understanding color trends by means of non-monotone utility functions

In this paper we explore the possibility of capturing color trends and understanding the rationale behind the popularity of a color. To this end, we propose using a preference disaggregation approach from the field of Multi-Criteria Decision Analysis. The main objective is to identify the criteria aggregation model that underlies the global preference of a color. We introduce a new disaggregation method based on the well-known UTASTAR algorithm able to represent preferences by means of non-monotonic utility functions. The method is applied to a large database of ranked colors, from three different years, based on the information published on the webpage of an international creative community. Non-monotone marginal utility functions from each of the coordinates are obtained for each year. These functions contain the color preference information captured, in an understandable way.

Computing distances between decision makers using hesitant fuzzy linguistic makers using hesitant fuzzy linguistic term sets

Given a finite totally ordered set of linguistic terms, the operations intersection and connected union provide a lattice structure to the set of hesitant fuzzy linguistic term sets. In this framework, hesitant fuzzy linguistic descriptions of a given set of alternatives are considered. A distance between hesitant fuzzy linguistic descriptions is introduced based on the properties of the lattice. This metric structure allows distances between decision makers to be computed. A centroid or group representative is defined in group decision-making processes where decision makers are assessing different alternatives by means of hesitant fuzzy linguistic term sets.Given a finite totally ordered set of linguistic terms, the operations intersection and connected union provide a lattice structure to the set of hesitant fuzzy linguistic term sets. In this framework, hesitant fuzzy linguistic descriptions of a given set of alternatives are considered. A distance between hesitant fuzzy linguistic descriptions is introduced based on the properties of the lattice. This metric structure allows distances between decision makers to be computed. A centroid or group representative is defined in group decision-making processes where decision makers are assessing different alternatives by means of hesitant fuzzy linguistic term sets.