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A data envelopment analysis approach to multicriteria decision problems with incomplete information. (English) Zbl 0972.90071
Summary: As a decision aid for discrete multicriteria decision problems, this paper proposes a multilevel graph of alternatives to represent the ranking, to the extent that this is possible when incomplete information on weights is available under the assumption of the additive value function. To construct it, the nested decomposition of the set of alternatives is established along the lines of data envelopment analysis. A numerical example is given to illustrate a multilevel graph based on the nested decomposition and compare it with the hierarchical dominance graph based on dominance relations proposed by {\it K. S. Park} and {\it S. H. Kim}, Eur. J. Oper. Res. 98, 111-123 (1997; Zbl 0920.90085).

MSC:
90C29Multi-objective programming; goal programming
90C27Combinatorial optimization
Software:
DEA
WorldCat.org
Full Text: DOI
References:
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[10] Park, K. S.; Kim, S. H.: Tools for interactive multiattribute decision making with incompletely identified information. European journal of operational research 98, 111-123 (1997) · Zbl 0920.90085
[11] Charnes, A.; Cooper, W. W.; Lewin, A. Y.; Seiford, L. M.: Data envelopment analysis: theory, methodology and applications. (1994) · Zbl 0858.00049
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