Iranian Journal of Numerical Analysis and Optimization

Article 17, Volume 13, Issue 1 - Serial Number 24, January 0, Pages 80-101   

Document Type: Research Article

DOI: 10.22067/ijnao.2022.69731.1023

References

[1] Baatar, D. and Wiecek, M.M. Advancing equitability in multiobjective programming, Comput. Math. Appl. 52(1-2) (2006), 225–234.
[2] Farina, M. and Amato, P. On the optimal solution definition for many criteria optimization problems, In Proceedings of the NAFIPS-FLINT International Conference (2002), 233–238.
[3] Foroutannia, D. and Merati, M. Generalisation of A-equitable preference in multiobjective optimization problems, Optimization, 70(9) (2021), 1859–1874.
[4] Hwang, C.L. and Masud, A. Multiple objective decision making, methods and applications: A state of the art survey, Lecture Notes in Economics and Mathematical Systems, vol. 164, Springer-Verlag, Berlin, 1979.
[5] Jalao, E.R., Wu, T. and Shunk, D. An intelligent decomposition of pair-wise comparison matrices for large-scale decisions, Eur. J. Oper. Res. 238(1) (2014), 270–280.
[6] Kostreva, M.M. and Ogryczak, W. Linear optimization with multiple equitable criteria, RAIRO Oper. Res. 33(3) (1999), 275–297.
[7] Kostreva, M.M., Ogryczak, W. and Wierzbicki, A. equitable aggregations in multiple criteria analysis, Eur. J. Oper. Res. 158(2) (2004), 362–377.
[8] Lorenz, M.O. Methods of measuring the concentration of wealth, Amer-ican Statistical Association, New Series, 70 (1905), 209–219.
[9] Mahmodinejad, A. and Foroutannia, D. Piecewise equitable efficiency in multiobjective programming, Oper. Res. Lett. 42 (2014), 522-526.
[10] Marshall, A.W. and Olkin, I. Inequalities: Theory of majorization and its applications, Academic Press, New York, 1979.
[11] Mut, M. and Wiecek, M.M. Generalized equitable preference in multiob-jective programming, Eur. J. Oper. Res. 212 (2011), 535–551.
[12] Ogryczak, W. Inequality measures and equitable approaches to location problems, Eur. J. Oper. Res. 122(2) (2000), 374–391.
[13] Ogryczak, W. Multiple criteria linear programming model for portfolio selection, Ann. Oper. Res. 97 (2000), 143–162.

[14] Ogryczak, W., Luss, H., Pioro, M. and Nace, D. A. Tomaszewski, Fair optimization and networks: a survey, J. Appl. Math. 2014 (2014), Article ID 612018, 25 pages.
[15] Ogryczak, W., Wierzbicki, A. and Milewski, M. A multi-criteria ap-proach to fair and efficient bandwidth allocation, Omega, 36 (2008), 451–463.
[16] Ogryczak, W. and Zawadzki, M. Conditional median: a parametric solu-tion concept for location problems, Ann. Oper. Res. 110 (2002), 167–181.