On the relation between Compromise Programming and Ordered Weighted Averaging operator

Authors:
Mahdi Zarghami;Ferenc Szidarovszky
Affiliations:
Faculty of Civil Engineering, University of Tabriz, Tabriz 51664, Iran;Systems and Industrial Engineering Department, University of Arizona, Tucson, AZ 85721-0020, USA
Venue:
Information Sciences: an International Journal
Year:
2010

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Abstract

This paper will demonstrate a strong relationship between the Compromise Programming (CP) method and the Ordered Weighted Averaging (OWA) operator. We will mathematically prove that the application of the CP method reflects the pessimistic view of the Decision Maker (DM), if the distance from the ideal point is minimized. It will however present an optimistic DM, if the distance from the nadir is maximized. The OWA operator may cover all of the optimistic, neutral and pessimistic views. A practical relationship will be developed between the power value of the CP method and the optimism degree of the DM based on fuzzy quantifiers. The theoretical results will be illustrated by a real case study of a water resources management problem.