most of the multi-criteria decision methods (mcdm), including analytic hierarchy process (ahp) and analytic network process (anp), use subjective judgments for obtaining the relative importance of the decision elements of a subject matter. this has been considered as one the important limitations of the mcdms. the f’anp model, a hybrid factor analysis and analytic network process (f’anp) model ...

Pairwise comparison matrices are often used in Multi-attribute Decision Making for weighting the attributes or for the evaluation of the alternatives with respect to a criteria. Matrices provided by the decision makers are rarely consistent and it is important to index the degree of inconsistency. In the paper, the minimal number of matrix elements by the modification of which the pairwise comp...

Membrane technologies for the separation of mixtures have gained an extensive worldwide attraction in the modern industrialized world. They have many industrial and medical applications such as water desalination, wastewater reclamation, gas separation, food and medical applications. However, even though all these applications have their own efficiency and market, the selection of priority appl...

In this paper, we have firstly redefined the notion of neutrosophic soft set and its operations in a new way to handle the indeterminate information and inconsistent information which exists commonly in belief systems. Then, we defined neutrosophic soft matrix and their operators which are more functional to make theoretical studies and application in the neutrosophic soft set theory. The matri...

In this paper, a new soft computing group decision method based on the concept of compromise ratio is introduced for determining decision makers (DMs)' weights through the group decision process under uncertainty. In this method, preferences and judgments of the DMs or experts are expressed by linguistic terms for rating the industrial alternatives among selected criteria as well as the relativ...

Pairwise comparison (PC) matrices are used in multi-attribute decision problems (MADM) in order to express the preferences of the decision maker. Our research focused on testing various characteristics of PC matrices. In a controlled experiment with university students (N = 227) we have obtained 454 PC matrices. The cases have been divided into 18 subgroups according to the key factors to be an...

In this paper analytic hierarchy process (AHP), a well-known approach for handling multi-criteria decision making problems, is discussed. It is based on pairwise comparisons. The methods for deriving the priority vectors from comparison matrices are examined. The existing methods for aggregating the individual comparison matrices into a group comparison matrix are revised. A method for aggregat...

In several multiobjective decision problems Pairwise Comparison Matrices (PCM) are applied to evaluate the decision variants. The problem that arises very often is inconsistency of given PCM. In such a situation it is important to approximate the PCM with a consistent one. The most common way is to minimize the Euclidean distance between the matrices. In the paper we consider minimization of th...

Supplier selection is usually involved a multi-criteria evaluation to assist decision-making. This study proposed a simple method for vendor selection. The proposed procedure utilizes the structure of criteria in analytic hierarchy process (AHP) model and employs consistent fuzzy preference relations (CFPR) to construct the decision matrices. The advantage of CFPR is computational simplicity an...

In this paper we consider the applicability of multi-rooted binary decision diagrams for the probabilistic model checking. The symbolic probabilistic model checking involves manipulation of functions and matrices with the values in [0, 1], and multi-terminal binary decision diagrams, sparse matrices, and combinations thereof are used to represent these objects. We propose algorithms for represe...