论文信息 - Nonessential objective functions in linear multiobjective optimization problems

Nonessential objective functions in linear multiobjective optimization problems

In multiobjective (vector) optimization problems, among the given objective functions there exist some, which do not influence the set of efficient solutions. These objective functions are said to be nonessential. In this paper we present a new method to decide if a given linear objective function is nonessential or not. Keywords: multiple criteria decision making, multiobjective (vector) optimization, efficient solutions, nonessential objectives.

Agnieszka B. Malinowska

[1] K. Tamura,et al. Necessary and sufficient conditions for local and global nondominated solutions in decision problems with multi-objectives , 1979 .

[2] Agnieszka B. Malinowska. Changes of the set of efficient solutions by extending the number of objectives and its evaluation , 2002 .

[3] Tomas Gal. A Note on Size Reduction of the Objective Functions Matrix in Vector Maximum Problems , 1980 .

[4] H. P. Benson,et al. Existence of efficient solutions for vector maximization problems , 1978 .

[5] Thomas Hanne,et al. Nonessential objectives within network approaches for MCDM , 2006, Eur. J. Oper. Res..

[6] Tomas Gal,et al. Redundant objective functions in linear vector maximum problems and their determination , 1977 .

[7] Thomas Hanne,et al. Consequences of dropping nonessential objectives for the application of MCDM methods , 1999, Eur. J. Oper. Res..