Pairwise comparison is an important tool in multi-attribute decision making. Pairwise comparison matrices (PCM) have been applied for ranking criteria and for scoring alternatives according to a given criterion. Our paper presents a special application of incomplete PCMs: ranking of professional tennis players based on their results against each other. The selected 25 players have been on the t...

Product line engineering aims to reduce the cost and effort to develop new related softwares, while increasing the software quality and the software scope. Variability analysis and modeling is a key issue in this approach. Several representations were proposed, including feature models (FMs) and product comparison matrices (PCMs). While PCMs are useful for presenting products in a tabular form,...

Evaluating pairwise comparisons breaks down complex decision problems into tractable ones. Pairwise comparison matrices (PCMs) are regularly used to solve multiple-criteria decision-making (MCDM) problems using Saaty’s analytic hierarchy process (AHP) framework. There are two significant drawbacks of using PCMs. First, humans evaluate PCM in an inconsistent manner. Second, PCMs of large problem...

This paper develops the spectral properties of pairwise comparison matrices (PCM) used in the multicriteria decision making method called analytic hierarchy process (AHP). Perturbed PCMs are introduced which may result in a reversal of the rank order of the decision alternatives. The analysis utilizes matrix theory to derive the principal eigenvector components of perturbed PCMs in explicit for...

Stopping set properties determine the iterative decoding performance of any linear block code on the Binary Erasure Channel (BEC). Furthermore, there is a common conception that they are crucial factors on other channels, like the Binary Symmetric Channel (BSC), as well. In order to investigate whether this is true indeed, we study stopping set properties and iterative decoding performance on t...

Abstract The analytic hierarchy process (AHP) is a cornerstone of multi‐criteria decision analysis, enabling well‐informed choices across diverse contexts. This paper introduces an original benchmark‐based framework designed to enhance the precision consistency classification for pairwise comparison matrices (PCMs) within AHP methodology. innovative approach quantifies discrepancy between given...

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 ...

One major limitation of phase-change materials (PCM) for thermal energy storage comes from their poor conductivity hindering heat transfer process and power density. Nanocomposites PCMs, where highly conductive nanofillers are dispersed into PCM matrices, have been exploited in the past decades as novel latent with enhanced conductivity. A computational model based on continuum simulations capa...