A Similarity Measure-based Optimization Model for Group Decision Making with Multiplicative and Fuzzy Preference Relations

Group decision making (GDM) problem based on different preference relations aims to obtain a collective opinion based on various preference structures provided by a group of decision makers (DMs) or experts, those who have varying backgrounds and interests in real world. The decision process in proposed question includes three steps: integrating varying preference structures, reaching consensus opinion, selecting the best alternative. Two major approaches: preference transformation and optimization methods have been developed to deal with the issue in first step. However, the transformation processes causes information lose and existing optimization methods are so computationally complex that it is not easy to be used by management practice. This study proposes a new consistency-based method to integrate multiplicative and fuzzy preference relations, which is based on a cosine similarity measure to derive a collective priority vector. The basic idea is that a collective priority vector should be as similar per column as possible to a pairwise comparative matrix (PCM) in order to assure the group preference has highest consistency for each decision makers. The model is computationally simple, because it can be solved using a Lagrangian approach and obtain a collective priority vector following four simple steps. The proposed method can further used to derive priority vector of fuzzy AHP. Using three illustrative examples, the effectiveness and simpleness of the proposed model is demonstrated by comparison with other methods. The results show that the proposed model achieves the largest cosine values in all three examples, indicating the solution is the nearest theoretical perfectly consistent opinion for each decision makers

Pairwise comparison matrix in multiple criteria decision making

The measurement scales, consistency index, inconsistency issues, missing judgment estimation and priority derivation methods have been extensively studied in the pairwise comparison matrix (PCM). Various approaches have been proposed to handle these problems, and made great contributions to the decision making. This paper reviews the literature of the main developments of the PCM. There are plenty of literature related to these issues, thus we mainly focus on the literature published in 37 peer reviewed international journals from 2010 to 2015 (searched via ISI Web of science). We attempt to analyze and classify these literatures so as to find the current hot research topics and research techniques in the PCM, and point out the future directions on the PCM. It is hoped that this paper will provide a comprehensive literature review on PCM, and act as informative summary of the main developments of the PCM for the researchers for their future research. First published online: 02 Sep 201

DT-MSOF Strategy and its Application to Reduce the Number of Operations in AHP

A computing strategy called Double Track"“Most Significant Operation First (DT-MSOF) is proposed. The goal of this strategy is to reduce computation time by reducing the number of operations that need to be executed, while maintaining a correct final result. Executions are conducted on a sequence of computing operations that have previously been sorted based on significance. Computation will only run until the result meets the needs of the user. In this study, the DT-MSOF strategy was used to modify the Analytic Hierarchy Process (AHP) algorithm into MD-AHP in order to reduce the number of operations that need to be done. The conventional AHP uses a run-to-completion approach, in which decisions can only be obtained after all of the operations have been completed. On the other hand, the calculations in MD-AHP are carried out iteratively only until the conditions are reached where a decision can be made. The simulation results show that MD-AHP can reduce the number of operations that need to be done to obtain the same results (decisions) as obtained by conventional AHP. It was also found that the more uneven the distribution of priority values, the more the number of operations could be reduced. 

Data science methodologies selection with hierarchical analytical process and personal construction theory

The amount of data currently available for Strategic Decision Making is substantial; which is why Data Science find itself in apogee in various areas where it can be applied. Expertise respecting the areas’ methodologies is fundamental; which is why, the objective of this paper is to compare and ponder them, for which, Analytic Hierarchy Process, was utilized along with linguistic tags and Personal Construction Theory, with the purpose of establishing and prioritizing characteristics according to their degree of compliance in real validation cases. The sub-criteria were grouped in different levels, conforming a hierarchy for the present problem. The validation case consisted in determining causes for breakdowns in new automobiles as they are being transported from the factory to the concessionaires; in which the proposed model proved useful and MoProPEI could be identified as the most adequate methodology.XVI Workshop Bases de Datos y Minería de Datos.Red de Universidades con Carreras en Informátic

Data science methodologies selection with hierarchical analytical process and personal construction theory

The amount of data currently available for Strategic Decision Making is substantial; which is why Data Science find itself in apogee in various areas where it can be applied. Expertise respecting the areas’ methodologies is fundamental; which is why, the objective of this paper is to compare and ponder them, for which, Analytic Hierarchy Process, was utilized along with linguistic tags and Personal Construction Theory, with the purpose of establishing and prioritizing characteristics according to their degree of compliance in real validation cases. The sub-criteria were grouped in different levels, conforming a hierarchy for the present problem. The validation case consisted in determining causes for breakdowns in new automobiles as they are being transported from the factory to the concessionaires; in which the proposed model proved useful and MoProPEI could be identified as the most adequate methodology.XVI Workshop Bases de Datos y Minería de Datos.Red de Universidades con Carreras en Informátic

Data science methodologies selection with hierarchical analytical process and personal construction theory

The amount of data currently available for Strategic Decision Making is substantial; which is why Data Science find itself in apogee in various areas where it can be applied. Expertise respecting the areas’ methodologies is fundamental; which is why, the objective of this paper is to compare and ponder them, for which, Analytic Hierarchy Process, was utilized along with linguistic tags and Personal Construction Theory, with the purpose of establishing and prioritizing characteristics according to their degree of compliance in real validation cases. The sub-criteria were grouped in different levels, conforming a hierarchy for the present problem. The validation case consisted in determining causes for breakdowns in new automobiles as they are being transported from the factory to the concessionaires; in which the proposed model proved useful and MoProPEI could be identified as the most adequate methodology.XVI Workshop Bases de Datos y Minería de Datos.Red de Universidades con Carreras en Informátic