Convex cone-based partial order for multiple criteria alternatives
| Autor: | Akram Dehnokhalaji, Murat Köksalan, Jyrki Wallenius, Pekka Korhonen, Nasim Nasrabadi |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
ta113
Convex analysis ta112 Mathematical optimization Information Systems and Management Heuristic Computer science ta111 Management Information Systems Set (abstract data type) Arts and Humanities (miscellaneous) Bellman equation Developmental and Educational Psychology Multiple criteria Data envelopment analysis Pairwise comparison Convex cone Partially ordered set ta512 Preference (economics) Finite set Information Systems |
| Zdroj: | Decision Support Systems. 51:256-261 |
| ISSN: | 0167-9236 |
| DOI: | 10.1016/j.dss.2010.11.019 |
| Popis: | In this paper, we consider the problem of finding a preference-based strict partial order for a finite set of multiple criteria alternatives. We develop an approach based on information provided by the decision maker in the form of pairwise comparisons. We assume that the decision maker's value function is not explicitly known, but it has a quasi-concave form. Based on this assumption, we construct convex cones providing additional preference information to partially order the set of alternatives. We also extend the information obtained from the quasi-concavity of the value function to derive heuristic information that enriches the strict partial order. This approach can as such be used to partially rank multiple criteria alternatives and as a supplementary method to incorporate preference information in, e.g. Data Envelopment Analysis and Evolutionary Multi-Objective Optimization. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect