Preference modeling consists in constructing a preference relation from initial preferences given by a decision maker. We are interested in the preference relation obtained from the use of the Choquet integral. The necessity preference is constructed as the intersection of all preference relations corresponding to a Choquet integral which are compatible with the initial preferences of the decis...

The aim of this work is to present some cases of the induced linguistic ordered weighted geometry (ILOWG) operators and study their desired properties, which are very suitable to deal with group decision making (GDM) problems involving multiplicative linguistic preference relations. First, the concepts of compatibility index (CI) for two multiplicative linguistic preference relations are define...

We consider constructive approaches to decision making which allow incomplete preference orders over multiple criteria. Whereas additional preferences may be acquired during the decision making process, the set of criteria is usually kept fixed. In this paper, we study the addition of new criteria and examine how this may refine or even reverse the existing preferences. We identify essential ch...

In this paper we propose a new distance measure between two preorders where the indifference, strict preference, weak preference and incomparability relations are considered. This distance measure is then used in the aggregation stage of a multiple criteria aggregation procedure for mixed evaluations designed to deal with different kinds of information imperfections. Introducing the weak prefer...

The notion of preference occurs across many areas, including the philosophy of action, decision theory, optimality theory, and game theory. In these settings, individual preferences between worlds or actions can be used to predict behavior by rational agents. In a more abstract sense, the notion of preference also occurs in conditional logic, non-monotonic logic and belief revision theory, whos...

The study adopted the method of Herrera-Viedma et al.,(2004): consistent fuzzy preference relations (Fuzzy PreRa) to apply the questionnaire which Zhilin Yang et al.(2005) developed. The result shows that the most important of the five-dimension is “Usability” and the most important of the nineteen items is “Relevant information to the customer”. Compared to the traditional AHP method, Fuzzy Pr...