Deriving weights from a pairwise comparison matrix (PCM) is a subject for which a wide range of methods have ever been presented. This paper proposes a common weight multi criteria decision analysis-data envelopment analysis (MCDA-DEA) approach with assurance region for weight derivation from a PCM. The proposed model has several merits over the competing approaches and removes the drawbacks of...

A matrix method for fuzzy systems (FITM) is used to perform inferences in fuzzy decision trees (FDT). The method is applied once the tree is designed and built. Using transition matrices the output calculation is faster and some undesired weighted effects of the FDT can be avoided.

There is a finite set of states: Ω = {ω1, . . . , ωn} where n ∈ N. An experiment P is an n ×N matrix {Pij}i=1,...,n;j=1,...,N , where N ∈ N, such that Pij ≥ 0 for all i, j and ∑N j=1 Pij = 1 for all i = 1, . . . , n. We shall call such a matrix a “Markov matrix.” The interpretation is that Pij is the probability of observing experiment outcome j in state ωi. The decision maker conducts experime...

For academics and practitioners concerned with computers, business and mathematics, one central issue is supporting decision makers. In this paper, we propose a generalization of Decision Matrix Method (DMM), using Neutrosophic logic. It emerges as an alternative to the existing logics and it represents a mathematical model of uncertainty and indeterminacy. This paper proposes the Neutrosophic ...

Lower and upper approximations of upward (downward) union of decision classes in Variable Consistency Dominance-Based Rough Set Approach (VC-DRSA) are the basis for extraction of decision rules, so computations of approximations is a necessary step in knowledge representing and reduction based on VCDRSA. In this paper, a matrix-based method for computing lower approximations of upward and downw...

This paper presents a new method for multiple person multiple attribute decision making (MADM) based on decision makers' subjective preference information on alternatives and objective decision matrix. In this method, multiple decision makers give their preference information on the alternatives in different formats, and an optimization model is constructed to reflect both decision makers' subj...

This paper investigates the multiple attribute decision making problem with preference information on alternatives, in which multiple decision makers give their preference information in three forms, i.e., preference orderings, utility values and fuzzy preference relation. A new approach is presented to make use of both the decision makers' social fuzzy preference relation on alternatives and d...

data envelope analysis (dea) is an approach to estimate the relative efficiency of decision making units (dmus). several studies were conducted in order to prioritize efficient units and some useful models such as cross-efficiency matrix (cem) were presented.  besides, a number of dea models with interval data have been developed and ranking dmus with such data was solved. however, presenting a...

project selection is considered as an important problem in project management. it is multi-criteria in nature and is based on various quantitative and qualitative factors. the main purpose of this paper is to present a new rank-based method for project selection in outranking relation. according to this approach, decision alternatives were clustered in the concordance matrix and the discordance...