Received: 13 Mar. 2012; Revised 21 Jul. 2012; Accepted 11 Aug. 2012e ceived: Jul 8, 2011; RevisedAccepted Jan. 6, Abstract: The aim of this paper is to develop an approach to solve the random lattice order group decision-making problem, where the preference information on alternatives pair provided by experts is in the form of uncertain binary preference relations. In this paper, firstly, the p...

Consistency of preference relations is associated with the study of the transitivity property. This is clearly related to the scales used for associating preferences values to judgements, and the conditions used to represent transitivity. Both issues, the scale to use and the consistency property, have been studied in the multiplicative model as well as in the fuzzy one. However, we make note t...

A fuzzy preference relation is a powerful and popular model to represent both individual and group preferences and can be a basis for decision-making models that in general provide as a result a subset of alternatives that can constitute an ultimate solution of a decision problem. To arrive at such a Þnal solution individual and/or group choice rules may be employed. There is a wealth of such r...

xi Zusammenfassung xiii Statement of Contributions xv Acknowledgments xvii List of Symbols and Abbreviations xvii  Introduction  . Introductory Example . . . . . . . . . . . . . . . . . . . . . . . .  .. Multiobjective Problems . . . . . . . . . . . . . . . . . . .  .. Selecting the Best Solutions . . . . . . . . . . . . . . . . .  .. The Hypervolume Indicator . . . . . . . . . ...

This paper investigates incomplete interval fuzzy preference relations. An additive consistency property of fuzzy preference relations proposed by Herrera-Viedma et al. (2004) is first extended to a more general case. This property is then generalized to interval fuzzy preference relations (IFPRs) based on additive transitivity. Subsequently, we examine how to characterize additive consistent I...

Abstract. A new method is proposed to solve the interactive group decision making problem in which the preference information takes the form of intuitionistic fuzzy preference relations. Firstly, we aggregate all individual intuitionistic fuzzy preference relations into a collective one. Then, a method to determine the experts’ weights by utilizing the compatibility measures of the individual i...

In fuzzy decision problems, the ordering of fuzzy numbers is the basic problem. The fuzzy preference relation is the reasonable representation of preference relations by a fuzzy membership function. This paper studies Nakamura’s and Kołodziejczyk’s preference relations. Eight cases, each representing different levels of overlap between two triangular fuzzy numbers are considered. We analyze the...

In this paper, we study group decision-making problems based on intuitionistic preference relations. By measuring the uncertain information of intuitionistic preference relations and the average similarity degree of one individual intuitionistic preference relation to the others, we propose a new approach to assess the relative importance weights of experts. The approach takes both the objectiv...

In Group Decision Making problems experts have to provide their preferences about some alternatives to solve a particular problem. Fuzzy Preference Relations are a very widely preference representation format that experts can use to express their opinions about the alternatives. But due to their own personal background and abilities experts are not often capable of provide complete and consiste...