Advances in Cone-Based Preference Modeling for Decision Making with Multiple Criteria
Author(s) -
Margaret M. Wiecek
Publication year - 2007
Publication title -
decision making in manufacturing and services
Language(s) - English
Resource type - Journals
eISSN - 2300-7087
pISSN - 1896-8325
DOI - 10.7494/dmms.2007.1.2.153
Subject(s) - preference , decision maker , set (abstract data type) , cone (formal languages) , regular polygon , variable (mathematics) , mathematical optimization , computer science , mathematics , decision analysis , operations research , mathematical economics , artificial intelligence , management science , algorithm , statistics , engineering , mathematical analysis , geometry , programming language
Decision making with multiple criteria requires preferences elicited from the deci- sion maker to determine a solution set. Models of preferences, that follow upon the concept of nondominated solutions introduced by Yu (1974), are presented and compared within a uni- ed framework of cones. Polyhedral and nonpolyhedral, convex and nonconvex, translated, and variable cones are used to model dieren t types of preferences. Common mathematical properties of the preferences are discussed. The impact of using these preferences in decision making is emphasized.
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