This paper proposes a new method for calculating the missing elements of an incomplete matrix of pairwise comparison values for a decision problem. The matrix is completed by minimizing a measure of global inconsistency, thus obtaining a matrix which is optimal from the point of view of consistency with respect to the available judgements. The optimal values are obtained by solving a linear sys...

This paper investigates the use of evolutionary algorithms for the search of hypothesis space in machine learning tasks. As opposed to the common scalar evaluation function imposing a complete order onto the hypothesis space, we propose genetic search incorporating pairwise comparison of hypotheses. Particularly, we allow incomparability of hypotheses, what implies a partial order in the hypoth...

In reliability, failure data often correspond to competing risks, where several failure modes can cause a unit to fail. This paper presents nonparametric predictive inference (NPI) for pairwise comparison with competing risks data, assuming that the failure modes are independent. These failure modes could be the same or different among the two groups, and these can be both observed and unobserv...

We describe a new approach based on tropical optimization techniques to solve the problem of rating alternatives from pairwise comparison data. The problem is formulated to approximate, in the logChebyshev sense, pairwise comparison matrices by reciprocal matrices of unit rank, and then represented in general terms of tropical mathematics as a tropical optimization problem. The optimization pro...

Cement-based materials are fundamental resources used to in construction. The increase in requests for and consumption of cement products, especially in Iran, indicates that more cement plants should be equipped. This study developed a geographical information system using pairwise comparison based on grey numbers to identify potential sites in which to set up cement plants. A group of five exp...

This paper proposes a modified software quality evaluation method based on products comparison, judging by user perceived satisfaction in terms of quality. The focused evaluation model is formulated on the bases of the ISO 9126 quality model as a generally accepted standard and ISO 12119 for software package, and of the Analytic Hierarchy Process (AHP) which is appropriate for comparing paired ...