Decision Making under Many Quality Criteria

Authors

  • Victor V. Rozen Saratov State University

Abstract

We mean a quality criterion as a function from a set of alternatives in some chain (i.e. linearly ordered set). Decision making under many quality criteria is considered. We assume that some rule for preferences is fixed and it leads to a partial ordering on the set of alternatives. We study a problem of construction of generalized criterion for models of decision making under many quality criteria. The main result is connected with finding of additional information under which a general criterion is unique up to a natural equivalence.

Keywords:

Multi-criteria decision making, quality criteria, general criterion, direction map

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References

Birkhoff, G. (1967). Lattice theory. Amer. Math. Soc., Coll. Publ., Vol. 25.

Zykov, A.A. (1969). Theory of finite graphs (in Russian). Publishing house ”Nauka”, Novosibirsk.

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Published

2023-01-25

How to Cite

Rozen, V. V. (2023). Decision Making under Many Quality Criteria. Contributions to Game Theory and Management, 5, 257–267. Retrieved from https://gametheory.spbu.ru/article/view/14490

Issue

Vol. 5 (2012)

Section

Articles

License

Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.