In the social decision making context, a manipulator attempts to change the social choice in his favor by misrepresenting his preferences. Gibbard and Satterthwaite [7,10] established independently that a strategic manipulation can be observed when using any non-dictatorial voting choice procedure. In this paper, we are interested in the manipulation of the social choice when individuals reveal...

Interval fuzzy preference relations can be useful to express decision makers' preferences in group decision-making problems. Usually, we apply a selection process and a consensus process to solve a group decision situation. In this paper, we present a consensus model for group decisionmaking problems with interval fuzzy preference relations. This model is based on two consensus criteria, a cons...

In a very recent paper by Xu and Chen (Soft Comput 12:515–521, 2008), a novel procedure for group decision making with incomplete reciprocal relations was developed. In this note, we examine the function between the fuzzy preference relation and its corresponding priority vector developed by Xu and Chen with a numerical example and show that the function does not hold in general cases. Then, we...

Abstract We define $$2n+1$$ 2 n + 1 and 2 n fuzzy numbers, which generalize triangular trapezoidal respectively. Then, we extend the preference relation relative to rank numbers. When data is representable in terms of number, FMCDM (fuz...

An important issue to bear in mind in Group Decision Making situations is that of consistency. However, the expression of consistent preferences is often a very difficult task for the decision makers, specially in decision problems with a high number of alternatives and when decision makers use fuzzy preference relations to provide their opinions. It leads to situations where a decision maker m...

Interval fuzzy preference relations that can well cope with the vagueness and uncertainty are commonly used by the decision maker. The most crucial issue is how to derive the interval priority vector from an interval fuzzy preference relation. This paper first analyzes the size of the interval priority weights. Then, two linear programming models are built, by which the interval priority weight...

MCMD problems with fuzzy preference information on alternatives are essential problems of the importance of weighting and ranking. Xu [14] proposed a method with incomplete linguistic preference relations method that decision makers obtain a matrix by choosing a finite and fixed set of alternatives and performing a pairwise comparison based on their different preference and knowledge. The objec...

In some MCDM techniques Ð most notably in Outranking Methods Ð the result of the comparison of a finite set of alternatives according to several criteria is summarised using a fuzzy preference relation. This fuzzy relation does not, in general, possess "nice properties" such as transitivity or completeness and elaborating a recommendation on the basis of such information is not an obvious task....

In many practical situation, some of the attribute values for an object may be interval and set-valued. This paper introduces the interval and set-valued information systems and decision systems. According to the semantic relation of attribute values, interval and set-valued information systems can be classified into two categories: disjunctive (Type 1) and conjunctive (Type 2) systems. In this...

Aiming at configuration design for mass customization, this paper develops a fuzzy ranking methodology for concept evaluation. The fuzzy preference relation is applied to modeling the fuzziness on the level of a single criterion as well as on a global level. The ranking approach integrates linguistic terms and fuzzy numbers into the fuzzy preference model so as to characterize both intangible a...