The pairwise comparison method is an interesting technique for building a global ranking from binary comparisons. In fact, some web search engines use this method to quantify the importance of a set of web sites. The purpose of this paper is to search a set of priority weights from the preference information contained in a general pairwise comparison matrix; i.e., a matrix without consistency a...

A matrix balancing problem and an eigenvalue problem are transformed into two minimumnorm point problems whose difference is only a norm. The matrix balancing problem is solved by scaling algorithms that are as simple as the power method of the eigenvalue problem. This study gives a proof of global convergence for scaling algorithms and applies the algorithm to Analytic Hierarchy process (AHP),...

In this paper we develop the idea introduced by Lipovetski and Conklin in 2002 of considering a pairwise comparison matrix (PCM) as a contingency table. Instead of focusing on outliers detection, we use the χ2 value as an index to evaluate the deviation of a pairwise comparison matrix from consistency. We verify by means of numerical simulations that our new index satisfies a set of five proper...

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...

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 ...

Sequence comparison is one of the most fundamental computational problems in bioinformatics. Pairwise sequence alignment methods align two sequences using a substitution matrix consisting of pairwise scores of aligning different residues with each other (like BLOSUM62), and give an alignment score for the given sequence-pair. This work 1 addresses the problem of accurately estimating statistica...

This paper proposes a method for ranking decision making units (DMUs) using some of the multiple criteria decision making / multiple attribute decision making          (MCDM /MADM) techniques, namely, interval analytic hierarchy process (IAHP)          and the technique for order preference by similarity to an ideal solution (TOPSIS).          Since the efficiency score of unity is assigned to ...

One concern about using transgenic plants is the genetic variation that occurred from theirs tissue culture and regeneration. Molecular markers are an important element for efficient and effective determination of genetic variation. The present work was carried out to assess the genetic uniformity of transgenic cottons (Bt and chitinase lines), using RAPD, ISSR molecular markers and SDS-PAGE an...