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...

Selection of a project among a set of possible alternatives is a difficult task that the decision maker (DM) has to face. In this paper, by using a fuzzy TOPSIS technique we propose a new method for a project selection problem. After reviewing four common methods of comparing investment alternatives (net present value, rate of return, benefit cost analysis and payback period) we use them as cri...

The selection problem of m highest ranked out of n candidates is considered for a model while the relative ranking of two candidates is obtained through their pairwise comparison. Deviating from the standard model, it is assumed in this article that the outcome of a pairwise comparison may be manipulated by the two participants. The higher ranked party may intentionally lose to the lower ranked...

There has been a deluge of biological sequence data in the public domain, which makes sequence comparison one of the most fundamental computational problems in bioinformatics. The biologists routinely use pairwise alignment programs to identify similar, or more specifically, related sequences (having common ancestor). It is a well-known fact that almost everything in bioinformatics depends on t...

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),...

Pairwise comparison data are used in various contexts including the generation of weight vectors for multiple criteria decision making problems. If this data is not sufficiently consistent, then the resulting weight vector cannot be considered to be a reliable reflection of the evaluator s opinion. Hence, it is necessary to measure its level of inconsistency. Different approaches have been prop...

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...

SUBSET, written in the matrix language Gauss, is a program that identifies optimal subsets of means or proportions based on independent groups. All possible configurations of ordered subsets of groups are identified and the best model is selected using either the AIC or BIC information criterion. For means, both homogeneous and heterogeneous variance cases are considered. SUBSET offers an alter...

Penilaian dan pemeringkatan penanganan dibeberapa negara terhadap pandemi Covid-19 hanya didasarkan pada jumlah kasus aktif, kematian, kesembuhan. seharusnya memperhatikan sudut pandang lain, diantaranya penduduk. Penelitian dimaksudkan dapat melakukan covid-19 di ASEAN dengan mengkombinasikan perhitungan pairwise comparison dan, metode TOPSIS. Pairwise digunakan dalam menentukan bobot kriteria...

We present a closed form upper bound for the average pairwise error probabilities (PEP) of space-time codes for a keyhole channel. It is derived from the exact conditional PEP for given fading channel coefficients, using a moment generating function-based approach. We include simulation results for varying numbers of antennas which affirm that the proposed PEP serves as a tight bound for codes ...