TAILIEUCHUNG - Multicriteria optimization in a fuzzy environment: The fuzzy analytic 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. | Yugoslav Journal of Operations Research Volume 20 (2010), Number 1, 71-85 MULTICRITERIA OPTIMIZATION IN A FUZZY ENVIRONMENT: THE FUZZY ANALYTIC HIERARCHY PROCESS1 Milanka GARDAŠEVIĆ-FILIPOVIĆ Faculty of Mathematics, University of Belgrade, milanka@ Dragan Z. ŠALETIĆ University ‘’Union’’, School of Computing, Belgrade, dsaletic@ Received: March 2008 / Accepted: April 2010 Abstract: 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. Keywords: Fuzzy decision-making, fuzzy AHP, consistency check, military application. 1 The authors are grateful to the referees for their valuable remarks and comments. 72 M., Gardašević Filipović, D., Šaletić / Multicriteria Optimization in a Fuzzy Environment 1. INTRODUCTION Establishing criteria for decision-making is a difficult and responsible task. Today we almost always deal with multi-criteria optimisation,

• Vật lý
• Analytic Hierarchy Process
• Fuzzy decision making
• Fuzzy AHP
• Consistency check
• Military application
• Prioritizing solutions
• Overcoming knowledge transfer barriers
• Software development
• The fuzzy analytic hierarchy process
• Hierarchy process
• Multicriteria decision making
• Sawing process
• Surface roughness
• Cutting phenomena
• Tích hợp bài toán AHP
• Chuẩn hoá Vector
• Phần mềm ArcGis
• Phần mềm Make it Rational
• Phần mềm DecisionPad v3
• Research article prioritization of factors impacting on water security
• Analytic hierarchy process method
• Face to face interviews
• Factors affecting WSS
• Applying analytic hierarchy process
• Climate change
• Monetary valuation
• Expert preference
• Multi criteria analysis
• Tạp chí khoa học
• Third Party logistic provider
• Supply shain management
• Selecting 3PL provider
• Fuzzy analytic hierarchy process
• Key performance indicators
• Manufacturing performance system
• Small and medium sized enterprises
• Medium sized enterprises
• Journal of Earth Sciences
• Geothermal potential
• Geothermal energy
• GIS based multicriteria decision making analyzes
• Journal of Science and Technology
• Socio economic parameters under
• Ho Chi Minh City
• Water supply and drainage
• Nuclear engineering and technology
• An integrated multicriteria decision making approach
• Evaluating nuclear fuel cycle systems
• Long term sustainability on the basis of an equilibrium model
• Technique for order of preference by similarity to ideal solution
• preference ranking organization method for enrichment evaluation
• Multiattribute utility theory combined with analytic hierarchy process
• Hybrid arc welding fixture
• Tungsten inert gas welding
• Metal active gas welding
• Multiple criteria decision making
• Analytic networking process
• Promoting export based industry
• Thai silver jewelry industry
• Analytical hierarchy process
• Priority weights of factors
• Sales and marketing driver
• Redundancy in handling environmental impact assessment process for industry
• Handling environmental impact assessment process
• Steel industry located in industrial estate
• Finance accounting and Auditing
• Balanced scorecard sonstruction
• Measuring performance
• Internal process perspective
• Continuous improvement perspective
• Vietnam Journal of Science and Technology
• Assessing climate change exposure
• Rural fresh water and sanitation
• Assess climate change
• Interpolative realization of Boolean algebra (IBA)
• Analytic Hierarchy Process (AHP)
• SAP ERP Consultant selection
• Project Management
• AHP IBA model
• Forest harvesting
• Interactive design
• High density stand trees
• Agricultural activities
• Environmental management
• Linear mixed integer optimization model
• Multicriteria decision making method
• Business decision making
• Identifying natural hazards
• Rapid Rural Appraisal
• Community surveys
• Single hazards aecting aquaculture
• Earth Sciences
• Multicriteria decision analysis
• Geographic information system
• Sensitivity analysis
• Autonomous cars
• Driverless cars
• Car insurance
• Auto insurance agencies
• Integrated resort attractions
• Investment decision
• Key factors
• Wealth management banks
• Group decision making
• Data envelopment analysis
• Assurance region model
• Five scientific fields
• Socio economic efficiency
• Scientific and technological
• Determining criteria and weights