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MULTIPLE CRITERIA DECISION MAKING: DISCORDANT PREFERENCES AND PROBLEM DESCRIPTION
作者单位:Alexey B.PETROVSKY(Institute for Systems Analysis,Russian Academy of Sciences Prospect 60 Let Octyabrya,9,Moscow 117312,Russia) ;
基金项目:This work was supported in part by the Russian Academy of Sciences,projects of the Research Programs 《Basic Problems of Informatics and Information Technologies》,《Bases of Information Technologies and Systems》;the Russian Foundation for Basic Research,projects 05-01-00666,06-07-89352.
摘    要:
There are many practical decision problems where decision makers' preferences may be inconsistent and contradictory. In this paper, new methods for ordering and classifying multi-attribute objects by discordant collective preferences are suggested. These methods are based on the theory of multiset metric spaces. The proposed techniques are applied to ranking companies and a competitive selection of projects, which are estimated by several experts upon multiple qualitative criteria.

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Multiple criteria decision making: Discordant preferences and problem description
Alexey B. Petrovsky. Multiple criteria decision making: Discordant preferences and problem description[J]. Journal of Systems Science and Systems Engineering, 2007, 16(1): 22-33. DOI: 10.1007/s11518-007-5032-z
Authors:Alexey B. Petrovsky
Affiliation:Institute for Systems Analysis,Russian Academy of Sciences Prospect 60 Let Octyabrya,9,Moscow 117312,Russia
Abstract:
There are many practical decision problems where decision makers' preferences may be inconsistent and contradictory.In this paper,new methods for ordering and classifying multi-attribute objects by discordant collective preferences are suggested.These methods are based on the theory of multiset metric spaces.The proposed techniques are applied to ranking companies and a competitive selection of projects,which are estimated by several experts upon multiple qualitative criteria.
Keywords:Multiple criteria decision making  discordant collective preferences  multiset metric space
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