For ranking alternatives based on pairwise comparisons, current analytic hierarchy process (AHP) methods are difficult to use to generate useful information to assist decision makers in specifying their preferences. This study proposes a novel method incorporating fuzzy preferences and range reduction techniques. Modified from the concept of data envelopment analysis (DEA), the proposed approac...

The problem of deriving a binary relation over alternatives based on paired comparisons is studied. The problem is tackled in the framework of belief functions, which is well-suited to model and manipulate partial and uncertain information. Starting from the work of Tritchler and Lockwood [8], the paper proposes a general model of mass allocation and combination, and shows how to practically de...

Procedures designed to select alternatives on the basis of the results of pairwise contests between them have received much attention in literature. The particular case of tournaments has been studied in depth. More recently weak tournaments and valued generalizations thereof have been investigated. The purpose of this paper is to investigate to what extent these choice procedures may be meanin...

owing to the oncoming needs and increasing the population of lake urmia watershed, providing equilibrium  between water supply and demand seems quite challenging and the lake cannot be successful in meeting its ecological demands in this critical condition. in this unfavorable situation, water resources must be managed through a sustainable context. with this knowledge in hand, a multi attribut...

This paper presents a multiple criteria decision support approach in order to build a ranking and suggest a best choice 2 on a set of alternatives. The partial evaluations of the alternatives on the points of view can be fuzzy numbers. The aggregation is performed through the use of a fuzzy extension of the Choquet integral. We detail how to assess the coefficients of the aggregation operator b...

We consider the problem of selecting a subset of alternatives given noisy evaluations of the relative strength of different alternatives. We wish to select a k-subset (for a given k) that provides a maximum likelihood estimate for one of several objectives, e.g., containing the strongest alternative. Although this problem is NP-hard, we show that when the noise level is sufficiently high, intui...

This paper presents a decision support approach that combines multiple criteria concepts with optimisation methods to assist with exploration of alternatives in strategic control. The contributions of this paper are the novel way in which different strategies may be characterised and objectives quantified, and the generation of “good” combinations of alternatives, rather than mere ranking of al...

Many researchers have long observed some cases in which certain ranking irregularities can occur when the original analytic hierarchy process (AHP), or some of its variants, are used. This paper presents two new categories of ranking irregularities which defy common intuition. These ranking irregularities occur when one decomposes a decision problem into a set of smaller problems each defined o...

Statistical Ranking and Selection (R&S) is a collection of experiment design and analysis techniques for selecting the system with the largest or smallest mean performance from among a finite set of alternatives. R&S procedures have received considerable research attention in the stochastic simulation community, and they have been incorporated in commercial simulation software. All existing pro...