Multiperson decision making problems involve using the preferences of some experts about a set of alternatives in order to find the best of those alternatives. However, sometimes experts cannot give all the information that they are required. Particularly, when dealing with fuzzy preference relations they can avoid giving some of the preference values of the relation. In the literature these in...

This paper investigates a new model for generating belief functions from qualitative preferences. Our approach consists in constructing appropriate quantitative information from incomplete preferences relations. It is able to combine preferences despite the presence of incompleteness and incomparability in their preference orderings. The originality of our model is to provide additional interpr...

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Antti Punkka Name of the doctoral dissertation Rank-based information in multi-attribute decision and efficiency analysis Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series DOCTORAL DISSERTATIONS 160/2012 Field of research Systems and Operations Research M...

a r t i c l e i n f o a b s t r a c t JEL classification: D01 D11 Keywords: Incomplete preferences Indifference Sequential rationality Revealed preference Incommensurability We use an agent's strict preferences to define indifference and incompleteness relations that identify the sequences of trades that are rational to undertake. If an agent makes sequences of trades of options labeled indiffe...

In decision-making problems there may be cases in which experts do not have an in-depth knowledge of the problem to be solved. In such cases, experts may not put their opinion forward about certain aspect of the problem, and as a result they may present incomplete preferences, i.e. some preference values may not be given or may be missing. In this paper we present a new Model for Group Decision...

This paper proposes a quadratic programming method (QPM) for ranking alternatives based on multiplicative preference relations (MPRs) and fuzzy preference relations (FPRs). The proposed QPM can be used for deriving a ranking from either a MPR or a FPR, or a group of MPRs, or a group of FPRs, or their mixtures. The proposed approach is tested and examined with two numerical examples, and compara...

Abstract With the development of social and economic research, judgements that people deal with are full fuzziness vagueness. It is convenient to use linguistic q-rung orthopair fuzzy numbers offer qualitative uncertain information. Consequently, in this paper, we mainly study preference relations (Lq-ROFPRs) apply them a multi-criteria decision-making (MCDM) problem. The multiplicative consist...