scholarly journals PRIORITY VECTOR ESTIMATION: CONSISTENCY, COMPATIBILITY, PRECISION

2020 ◽  
Vol 12 (3) ◽  
Author(s):  
Stan Lipovetsky
Keyword(s):  
Decision Making ◽  
Robust Estimation ◽  
Multiple Criteria Decision Making ◽  
Data Consistency ◽  
Matrix Approximation ◽  
Analytic Hierarchy ◽  
Practical Applications ◽  
Priority Vector ◽  
Vector Estimation ◽  
Hierarchy Process

Various methods of priority vector estimation are known in the Analytic Hierarchy Process (AHP). They include the classical eigenproblem method given by Thomas Saaty, developments in least squares and the multiplicative approach, robust estimation based on transformation of the pairwise ratios to the shares of preferences, and other approaches. In this paper, the priority vectors are completed with validation of data consistency, comparisons of vectors’ compatibility, and estimation of precision for matrix approximation by vectors. The numerical results for different data sizes and consistency show that the considered methods reveal useful features, are simple and convenient, and capable of facilitating practical applications of the AHP in solving various multiple-criteria decision making problems.

JUDGMENT NUMBER REDUCTION: AN ISSUE IN THE ANALYTIC HIERARCHY PROCESS

2010 ◽  
Vol 09 (01) ◽  
pp. 175-189 ◽  
Author(s):  
LONG-TING WU ◽  
XIA CUI ◽  
RU-WEI DAI
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Pairwise Comparison ◽  
Random Variable ◽  
Analytic Hierarchy ◽  
Priority Vector ◽  
Judgment Error ◽  
Scale Error ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process

The Analytic Hierarchy Process (AHP) uses pairwise comparison to evaluate alternatives' advantages to a certain criterion. For decision-making problem with many different criteria and alternatives, pairwise comparison causes a prolonged decision-making period and rises fatigue in decision-makers' mentality. A question of practical value is if there exists a way to reduce judgment number and what influence the reduction will have on the overall evaluation of alternative ratings. To answer this question, we introduce scale error and judgment error into AHP judgment matrix. By expanding the scales defined in the AHP, scale error is eliminated. Taking judgment error as random variable, a new estimator to calculate priority vector is presented. In the end, an example is proved to show lowering judgment number will increase the probability of larger errors appearing in priority vector computation.

Fuzzy multi-criteria decision-making: An entropy-based approach to assess tourism sustainability

2019 ◽  
pp. 135481661988520
Author(s):  
Joseph Andria ◽  
Giacomo di Tollo ◽  
Raffaele Pesenti
Keyword(s):  
Decision Making ◽  
Evaluation Criteria ◽  
Multiple Criteria Decision Making ◽  
Data Envelopment ◽  
Analytic Hierarchy ◽  
Entropy Maximization ◽  
Tourist Destinations ◽  
Hierarchy Process ◽  
Direct Applicability

In this article, we propose a method for ranking tourist destinations and evaluating their performances under a sustainability perspective: a fuzzy multiple criteria decision-making method is applied for determining sustainability performance values and ranking destinations accordingly. We select a set of sustainability evaluation criteria and use a fuzzy analytic hierarchy process to weight the selected criteria. We also optimize each evaluator’s membership function support by means of a fuzzy entropy maximization criteria. A case study is illustrated and results are compared with two data envelopment analysis–based models. The simplicity of the proposed approach along with the easy readability of the results allow its direct applicability for all involved stakeholders.

Improving risk evaluation in FMEA with a hybrid multiple criteria decision making method

2015 ◽  
Vol 32 (7) ◽  
pp. 763-782 ◽  
Author(s):  
Hu-Chen Liu ◽  
Jian-Xin You ◽  
Xue-Feng Ding ◽  
Qiang Su
Keyword(s):  
Decision Making ◽  
Failure Modes ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Analytic Hierarchy ◽  
Effect Analysis ◽  
Maintenance Strategies ◽  
Content Type ◽  
Safety And Reliability ◽  
Hierarchy Process

Purpose – The purpose of this paper is to develop a new failure mode and effect analysis (FMEA) framework for evaluation, prioritization and improvement of failure modes. Design/methodology/approach – A hybrid multiple criteria decision-making method combining VIKOR, decision-making trial and evaluation laboratory (DEMATEL) and analytic hierarchy process (AHP) is used to rank the risk of the failure modes identified in FMEA. The modified VIKOR method is employed to determine the effects of failure modes on together. Then the DEMATEL technique is used to construct the influential relation map among the failure modes and causes of failures. Finally, the AHP approach based on the DEMATEL is utilized to obtain the influential weights and give the prioritization levels for the failure modes. Findings – A case study of diesel engine’s turbocharger system is provided to illustrate the potential application and benefits of the proposed FMEA approach. Results show that the new risk priority model can be effective in helping analysts find the high risky failure modes and create suitable maintenance strategies. Practical implications – The proposed FMEA can overcome the shortcomings and improve the effectiveness of the traditional FMEA. Particularly, the dependence and interactions between different failure modes and effects have been addressed by the new failure analysis method. Originality/value – This paper presents a systemic analytical model for FMEA. It is able to capture the complex interrelationships among various failure modes and effects and provide guidance to analysts by setting the suitable maintenance strategies to improve the safety and reliability of complex systems.

scholarly journals COMPARISON OF DIFFERENT FUZZY AHP METHODOLOGIES IN RISK ASSESSMENT

2017 ◽  
Vol 2 ◽  
pp. 137 ◽  
Author(s):  
Andrejs Radionovs ◽  
Oleg Uzhga-Rebrov
Keyword(s):  
Risk Assessment ◽  
Decision Making ◽  
Fuzzy Ahp ◽  
Multiple Criteria Decision Making ◽  
Environmental Risks ◽  
Assessment Process ◽  
Analytic Hierarchy ◽  
Risk Assessment Process ◽  
Risks Assessment ◽  
Hierarchy Process

Being able to evaluate risks is an important task in many areas of human activity: economics, ecology, etc. Usually, environmental risk assessment is carried out on the basis of multiple and sometimes conflicting factors. Using multiple criteria decision-making (MCDM) methodology is one of the possible ways to solve the problem. Methodologies of analytic hierarchy process (AHP) are the most commonly used MCDM methods, which combine subjective and personal preferences in risk assessment process. However, AHP involves human subjectivity, which introduces vagueness type of uncertainty and requires the usage of decision making under those uncertainties. In this paper it was considered to deal with uncertainty by using the fuzzy-based techniques. However, nowadays there exist multiple Fuzzy AHP methodologies developed by different authors. In this paper, these Fuzzy AHP methodologies will be compared, and the most appropriate Fuzzy AHP methodology for the application in case of environmental risks assessment will be offered on the basis of this comparison.

scholarly journals Cognitive Multiple Criteria Decision Making and the Legacy of the Analytic Hierarchy Process

2019 ◽  
Vol 36 (1) ◽  
pp. 67 ◽  
Author(s):  
José María Moreno-Jiménez ◽  
Luis G. Vargas
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Analytic Hierarchy ◽  
Sociedad Del Conocimiento ◽  
Toma De Decisiones ◽  
The Analytic Hierarchy Process ◽  
Hierarchy Process

Este trabajo recoge brevemente el concepto, la evolución histórica y las diferentes escuelas de una de las partes de la Investigación Operativa más fructífera y con mayor difusión de los últimos 45 años: la Decisión Multicriterio. Así mismo, analiza la evolución que el método científico ha seguido en este periodo de tiempo y cuáles son las nuevas orientaciones que presenta en el contexto de la Sociedad del Conocimiento. Finalmente, se incluyen una serie de ideas sobre cuáles pueden ser algunos de los retos futuros en el campo de la toma de decisiones multicriterio (TDMC), en particular en el contexto de una de las aproximaciones más populares: el Proceso Analítico Jerárquico (AHP). Tres problemas fundamentales, ya vislumbrados para esta escuela de pensamiento por su creador, necesitan ser abordados como futuros retos en el campo multicriterio. Este trabajo se ha dedicado a la memoria del profesor Thomas L. Saaty, el autor de AHP y uno de los matemáticos más brillantes e ingeniosos de los últimos 60 años, quien acaba de fallecer en agosto de 2017 a los 91 años de edad.

scholarly journals Aid application multicriteria the decision based on AHP Method and Fuzzy Logic in commercial land selection

2019 ◽  
Vol 26 (3) ◽  
Author(s):  
Nilson Brandalise ◽  
Amanda Sexto Alexandre Pereira ◽  
Luiz Carlos Brasil de Brito Mello
Keyword(s):  
Decision Making ◽  
Fuzzy Logic ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Ahp Method ◽  
Analytic Hierarchy ◽  
Engineering Problems ◽  
Hierarchy Process ◽  
Analytical Operation ◽  
Selection Of

Abstract The objective of this article is to select land for commercial buildings in Rio de Janeiro city using multiple criteria decision-making techniques. The techniques used were based on the Analytic Hierarchy Process (AHP) and Fuzzy Logic methods. These methods were chosen because of functionality, flexibility and great application in engineering problems for decision making involving multiple criteria. Its application was made through an opinion survey with expert builders, where 6 (six) factors for evaluation were selected in 10 (ten) commercial land alternatives. For the analytical operation of the methods, the software used were: Super Decisions and MATLAB®, respectively for each method, presenting the factors classified, in order of priority, in the selection of land, and ranking of the alternatives according to the defined scenario, facilitating in this way the process of selection of land for buildings, establishing a scientific way for the decision process.

Use of the Analytic Hierarchy Process for Selecting Automated Manufacturing Systems

1993 ◽  
Vol 13 (8) ◽  
pp. 45-57 ◽  
Author(s):  
R.P. Mohanty ◽  
Sitalakshmi Venkataraman
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Manufacturing Systems ◽  
Multiple Criteria Decision Making ◽  
Social Impacts ◽  
Multiple Criteria ◽  
Automated Manufacturing ◽  
Automated Manufacturing Systems ◽  
Analytic Hierarchy ◽  
Hierarchy Process

Studies the justification problems of automated manufacturing systems (AMS) by using a multiple‐criteria decision making (MCDM) approach such as analytic hierarchy process (AHP). An example from Indian manufacturing has been studied. Strategic, technological and social impacts have been considered for justifying AMS and decomposing these factors into several possible attributes.

The use and comparison of a deterministic, a stochastic, and a hybrid multiple-criteria decision-making method for site selection of wind power plants: An application in Turkey

2019 ◽  
Vol 44 (1) ◽  
pp. 60-74
Author(s):  
Emin Sertaç Arı ◽  
Cevriye Gencer
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Wind Power ◽  
Site Selection ◽  
Power Plants ◽  
Multiple Criteria Decision Making ◽  
Analytic Hierarchy ◽  
Wind Power Plants ◽  
Simulation Based ◽  
Hierarchy Process

Clean domestic energy is an attractive option, especially for developing countries. Wind has been one of the most appealing renewable energy sources for those as of the beginning of the 20th century. This study focuses on an important work item of the establishment phase of this important energy source: power plant site selection. Three approaches were examined based on multiple-criteria decision-making methods. Stochastic multi-criteria acceptability analysis (a simulation-based approach with different kinds of uncertain information), analytic hierarchy process (a conventional deterministic approach), and AHP-SMAA (a hybrid approach) were applied separately in Turkey. In terms of novelty, analyses were conducted both with (analytic hierarchy process) and without (stochastic multi-criteria acceptability analysis) the preference information of the decision makers. The unique hybrid method integrates stochastic multi-criteria acceptability analysis with analytic hierarchy process to allow the simulation-based experiments with deterministic variables. As a result of the approaches, the same region (Burhaniye-Pelitköy) showed up as the optimal site to establish wind power plants at every turn. The techniques are globally applicable as long as the computational data and all parameters are gathered completely.

Prioritizing sewer rehabilitation projects using AHP-PROMETHEE II ranking method

2015 ◽  
Vol 73 (2) ◽  
pp. 283-291 ◽  
Author(s):  
Abdelhak Kessili ◽  
Saadia Benmamar
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Multiple Criteria Decision Making ◽  
Ranking Method ◽  
Preference Ranking ◽  
Analytic Hierarchy ◽  
Promethee Ii ◽  
Sewer Rehabilitation ◽  
Hierarchy Process ◽  
Sewer Networks

The aim of this paper is to develop a methodology for the prioritization of sewer rehabilitation projects for Algiers (Algeria) sewer networks to support the National Sanitation Office in its challenge to make decisions on prioritization of sewer rehabilitation projects. The methodology applies multiple-criteria decision making. The study includes 47 projects (collectors) and 12 criteria to evaluate them. These criteria represent the different issues considered in the prioritization of the projects, which are structural, hydraulic, environmental, financial, social and technical. The analytic hierarchy process (AHP) is used to determine weights of the criteria and the Preference Ranking Organization Method for Enrichment Evaluations (PROMETHEE II) method is used to obtain the final ranking of the projects. The model was verified using the sewer data of Algiers. The results have shown that the method can be used for prioritizing sewer rehabilitation projects.

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