We present a rating method that, given information on the pairwise comparisons of n items, minimizes the number of inconsistencies in the ranking of those items. Our Minimum Violations Ranking (MVR) Method uses a binary linear integer program (BILP) to do this. We prove conditions when the relaxed LP will give an optimal solution to the original BILP. In addition, the LP solution gives informat...

data envelopment analysis (dea) technique now widely use for efficiency evaluation of a set of decision making units (dmus). as regards of the necessity for ranking efficient units different dea models presented each of which has advantages and rank efficient units from special aspects. note that all the existing ranking models have disadvantages, as well and there is not a model in which all t...

in order to survive in today's competitive world, organizations are looking to increase their efficiency and effectiveness. therefore, they should focus on inputs that are more important than the rest of the inputs in their success. this paper aimed at ranking 7ms (management, man power, marketing, material, machinery, methods and money) and their sub-criteria of production in iran. by imp...

a characteristic of data envelopment analysis (dea) is to allow individual decision making units (dmus) to select the factor weights that are the most advantages for them in calculating their efficiency scores. this flexibility in selecting the weights, on the other hand, deters the comparison among dmus on a common base. for dealing with this difficulty and assessing all the dmus on the same s...

many ranking methods have been proposed so far. however, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. for overcoming the above problems, we propose a new method for ranking fuzzy quantities based on ...

predicting the sawability of the dimension stone is one of the most important factors involved in production planning. moreover, this factor can be used as an important criterion in the cost estimation and planning of the stone plants. the main purpose for carrying out this work was to rank the sawability of the dimension stone using the promethee method. in this research work, four important p...

Although PM was basically created to treat subjective comparisons, given exact values can be converted to Potential Method flow. A new feature of PM is a parameter called FlowNorm which helps to treat problems where each criterion has its own measurement scale. Complex hierarchial structures and problems modelled by decision tables can be handled. Incomplete data, such as incomplete belief, is ...

Ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (CV index), distance between fuzzy set...

cross efficiency is a method with the idea of peer evaluation instead of self-evaluation, and is used for evaluation and ranking decision making units (dmus) in data envelopment analysis (dea). unlike most existing dea ranking models which can only rank a subset of dmus, for example non-efficient or extreme efficient dmus, cross efficiency can rank all dmus, even non-extreme ones. however, sinc...

A ranking method assigns to every weighted directed graph a (weak) ordering of the nodes. In this paper we axiomatize the ranking method that ranks the nodes according to their outflow using four independent axioms. This outflow ranking method generalizes the ranking by outdegree for directed graphs. Furthermore, we compare our axioms with other axioms discussed in the literature.