scholarly journals A Compact Representation of Preferences in Multiple Criteria Optimization Problems

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1092
Author(s):  
Francisco Salas-Molina ◽  
David Pla-Santamaria ◽  
Ana Garcia-Bernabeu ◽  
Javier Reig-Mullor
Keyword(s):  
Analytic Hierarchy Process ◽  
Optimization Problems ◽  
Multiple Criteria ◽  
Compact Representation ◽  
Relative Priority ◽  
Analytic Hierarchy ◽  
Multiple Criteria Optimization ◽  
Hierarchy Process ◽  
Strict Priority ◽  
Priority Levels

A critical step in multiple criteria optimization is setting the preferences for all the criteria under consideration. Several methodologies have been proposed to compute the relative priority of criteria when preference relations can be expressed either by ordinal or by cardinal information. The analytic hierarchy process introduces relative priority levels and cardinal preferences. Lexicographical orders combine both ordinal and cardinal preferences and present the additional difficulty of establishing strict priority levels. To enhance the process of setting preferences, we propose a compact representation that subsumes the most common preference schemes in a single algebraic object. We use this representation to discuss the main properties of preferences within the context of multiple criteria optimization.

scholarly journals Multicriteria optimization in a fuzzy environment: The fuzzy analytic hierarchy process

2010 ◽  
Vol 20 (1) ◽  
pp. 71-85 ◽  
Author(s):  
Milanka Gardasevic-Filipovic ◽  
Dragan Saletic
Keyword(s):  
Analytic Hierarchy Process ◽  
Optimization Problems ◽  
Fuzzy Ahp ◽  
User Preferences ◽  
Analytic Hierarchy ◽  
Weighted Sum Method ◽  
Fuzzy Environment ◽  
Previously Treated ◽  
Judgment Matrix ◽  
Hierarchy Process

In the paper the fuzzy extension of the Analytic Hierarchy Process (AHP) based on fuzzy numbers, and its application in solving a practical problem, are considered. The paper advocates the use of contradictory test to check the fuzzy user preferences during fuzzy AHP decision-making process. We also propose consistency check and deriving priorities from inconsistent fuzzy judgment matrices to be included in the process, in order to check if the fuzzy approach can be applied in the AHP for the problem considered. An aggregation of local priorities obtained at different levels into composite global priorities for the alternatives based on weighted-sum method is also discussed. The contradictory fuzzy judgment matrix is analyzed. Our theoretical consideration has been verified by an application of commercially available Super Decisions program (developed for solving multi-criteria optimization problems using AHP approach) on the problem previously treated in the literature. The obtained results are compared with those from the literature. The conclusions are given and the possibilities for further work in the field are pointed out.

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.

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.

Multiple Criteria Assessment of Substation Conditions by Pair-Wise Comparison of Analytic Hierarchy Process

2010 ◽  
Vol 25 (4) ◽  
pp. 3017-3023 ◽  
Author(s):  
Hideaki Tanaka ◽  
Shigeyuki Tsukao ◽  
Daiki Yamashita ◽  
Takahide Niimura ◽  
Ryuichi Yokoyama
Keyword(s):  
Analytic Hierarchy Process ◽  
Multiple Criteria ◽  
Analytic Hierarchy ◽  
Hierarchy Process ◽  
Pair Wise Comparison

scholarly journals Application of a New Hybrid Fuzzy AHP Model to the Location Choice

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Chien-Chang Chou ◽  
Ker-Wei Yu
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Location Choice ◽  
Fuzzy Ahp ◽  
Multiple Criteria ◽  
Distribution Centers ◽  
Analytic Hierarchy ◽  
Ahp Model ◽  
International Distribution ◽  
Hierarchy Process

The purpose of this paper is to propose a new hybrid fuzzy Analytic Hierarchy Process (AHP) algorithm to deal with the decision-making problems in an uncertain and multiple-criteria environment. In this study, the proposed hybrid fuzzy AHP model is applied to the location choices of international distribution centers in international ports from the view of multiple-nation corporations. The results show that the proposed new hybrid fuzzy AHP model is an appropriate tool to solve the decision-making problems in an uncertain and multiple-criteria environment.

scholarly journals Avaliação da qualidade dos serviços por meio do fuzzy multiple criteria decision making (MCDM)

Exacta ◽  
2018 ◽  
Vol 16 (1) ◽  
Author(s):  
Nara Medianeira Stefano ◽  
Nelson Casarotto Filho ◽  
Raul Otto Laux ◽  
Sidnei Gripa
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Santa Catarina ◽  
Analytic Hierarchy ◽  
Hierarchy Process

 A qualidade dos serviços é uma construção abstrata e indescritível devido a três características: intangibilidade, inseparabilidade de produção e consumo e, heterogeneidade. Dessa forma, define-se a qualidade dos serviços como aquela percebida pelo cliente. Neste contexto, este trabalho teve o objetivo de avaliar a qualidade dos serviços em um hotel de grande porte localizado em Santa Catarina – Brasil, contando com a participação de 187 hóspedes. Utilizou-se o método Servqual para coletar os dados em um questionário baseado nas dimensões da qualidade. Para o cálculo dos pesos da expectativa e da percepção foi utilizado o método Fuzzy AHP (Analytic Hierarchy Process - FAHP). Como resultado, são apresentados os aspectos onde a expectativa dos hóspedes em relação ao serviço prestado é maior do que a realidade encontrada, permitindo, dessa forma, que a empresa alinhe de forma estratégica seus futuros investimentos.  

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