Multicriteria decision-making problems under fuzzy conditions

Authors

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2016.4.08

Keywords:

multicriteria decision-making problems, uncertainty, Pareto-optimal solutions of level α, best compromise solutions of level α

Abstract

Multicriteria problems of decision-making under the uncertainty are considered. For such problems, pareto-optimal solutions and best compromise solutions of level α are introduced. The corresponding theorems determining their interconnections are formulated and proved. The method for solving the considered problem is suggested based on the search of optimal compromise solutions of level α. The example of solving a multicriteria linear programming problem with fuzzy parameters is presented demonstrating the suggested approach. Also, the comparison of solutions for non-fuzzy and fuzzy problems is performed.

Author Biographies

Olena Yu. Zaychenko, ESC Institute for Applied System Analysis of NTUU "KPI", Kyiv, Ukraine.

Helen Zaichenko,

doctor of science, professor of ESC Institute for Applied System Analysis of NTUU "KPI".

 

Yuriy P. Zaychenko, ESC Institute for Applied System Analysis of NTUU "KPI", Kyiv, Ukraine.

Yuriy Zaychenko,

doctor of science, professor of ESC Institute for Applied System Analysis of NTUU "KPI".

 

References

Germejer Ju.B. Vvedenie v teoriju issledovanija operatsij. — M.: Nauka. — 1971. — 383 s.

Volkovich V.L. Problemy sozdanija intellektual'nyh sistem podderzhki prinjatija reshenij. — K., 1990. — 190 s.

Podinovskij V.V. Optimizatsija po posledovatel'no primenjaemym kriterijam. — M.: — 1975. — 360 s.

Larichev O.I. Teorija i metody prinjatija reshenij / O.Y. Larychev. — M., 2002. — 302 s.

Zajchenko Ju.P. Teorija pryjnjattja rishen', pidruch. / Ju.P. Zajchenko. — K.: NTUU "KPI", 2014. — 412 s.

Zgurovskij M.Z. Modeli i metody prinjatija reshenij v nechetkih uslovijah / M.Z. Zhurovskyj. — K.: Nauk. dumka, 2011. — 352 s.

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Published

2016-11-15

Issue

No. 4 (2016)

Section

Decision making and control in economic, technical, ecological and social systems

License

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