UNSPECIFIED (1997) Dominance and potential optimality in multiple criteria decision analysis with imprecise information. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 48 (2). pp. 142-150. ISSN 0160-5682

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Abstract

This paper discusses multiple criteria models of decision analysis with finite sets of alternatives. A weighted sum of criteria is used to evaluate the performance of alternatives. Information about the weights is assumed to be in the form of arbitrary linear constraints. Conditions for checking dominance and potential optimality of decision alternatives are presented. In the case of testing potential optimality, the proposed appoach leads to the consideration of a couple of mutually dual linear programming problems. The analysis of these problems gives valuable information for the decision maker. In particular, if a decision alternative is not potentially optimal, then a mixed alternative dominating it is defined by a solution to one of the LP problems. This statement generalizes similar results known for some special cases. The interpretation of the mixed alternative is discussed and compared to its analogue in a data envelopment analysis context.

Item Type:	Journal Article
Subjects:	H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management
Journal or Publication Title:	JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
Publisher:	STOCKTON PRESS
ISSN:	0160-5682
Date:	February 1997
Volume:	48
Number:	2
Number of Pages:	9
Page Range:	pp. 142-150
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/17999

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