It is shown that in the case of a single decision maker who optimizes several possibly conflicting objectives, the amount of information available in preference relations among pairs of possible decisions, when compared with all other possible information, is tending to zero exponentially with the number of those different objectives. Consequently, in the case of a larger number of conflicting ...

In this paper we present a method based on preference relations for transforming non–crisp (qualitative) relationships between objectives in multi–objective optimisation into quantitative attributes (i.e. numbers).This is integrated with two multi–objective genetic algorithms (GAs): weighted sums GA and a method for combining the Pareto method with weights. Examples of the preference relations ...

We introduce a new multiple criteria ranking/choice method that applies Dominance-based Rough Set Approach (DRSA) and represents the Decision Maker’s (DM’s) preferences with decision rules. The DM provides a set of pairwise comparisons indicating whether an outranking (weak preference) relation should hold for some pairs of reference alternatives. This preference information is structured using...

The more information a preference structure gives, the more sophisticated representation techniques are necessary, so decision makers can have a global view of data and therefore a comprehensive understanding of the problem they are faced with. In this paper we propose to explore valued preference relations by means of a search for the number of underlying criteria allowing its representation i...

This study uses three types of pairwise comparisons algorithm which are horizontal vertical and oblique to construct Multi-Criteria Decision Making with Incomplete Linguistic Preference Relations Model. The use of pairwise comparisons will not produce the problem of inconsistency, which even allows every decision expert to choose an explicit criterion or alternative for index unrestrictedly. Wh...

Abstract There may be cases where experts do not have in-depth knowledge of the problem to solved in decision-making problems. In such cases, fail express their views on certain aspects problem, resulting incomplete preferences, which some preference values are provided or missing. this article, we present a new model for group (GDM) methods experts’ preferences can expressed as Fermatean fuzzy...

When dealing with multi-criteria decision making problems, the concept of Pareto-optimality and Pareto-dominance may be inefficient (e.g. generally multiple solutions exist), especially when there is a large number of criteria. Our paper considers the fuzzy multi-criteria decision making problem based on Zadeh’s linguistic approach to P-optimality and P-dominance. The construction, analysis and...