Integrating Approximation and Interactive Decision Making in Multicriteria Optimization

References

• Ballestero E., Romero C.Multiple Criteria Decision Making and Its Applications to Economic Problems (1998) (Kluwer Academic Publishers, Boston, MA) Crossref, Google Scholar
• Chankong V., Haimes Y. Y.Multiobjective Decision Making: Theory and Methodology (1983) (Elsevier Science Publishing, New York) Google Scholar
• Cohon J. L.Multiobjective Programming and Planning (1978) (Academic Press, New York) Google Scholar
• Edelsbrunner H.Algorithms in Combinatorial Geometry (1987) (Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
• Fandel G.Optimale Entscheidung bei Mehrfacher Zielsetzung. Lecture Notes in Economics and Mathematical Systems (1972) 76(Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
• Geoffrion A. M. Proper efficiency and the theory of vector maximization. J. Math. Anal. Appl. (1968) 22(3):618–630Crossref, Google Scholar
• Hwang C. L., Masud A. S. M.Multiple Objective Decision Making—Methods and Applications: A State-of-the-Art Survey (1979) (Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
• Kamenev G. K. A class of adaptive algorithms for the approximation of convex bodies by polyhedra. Zh. Vychisl. Mat. Mat. Fiz. (1992) 32(1):136–152In Russian; English translation in Comput. Maths. Math. Phys. 32(1) 114–127Google Scholar
• Kamenev G. K. Investigation of an algorithm for the approximation of convex bodies. Zh. Vychisl. Mat. Mat. Fiz. (1994) 34(4):608–616In Russian; English translation in Maths. Math. Phys. 34(4) 521–528Google Scholar
• Klamroth K., Tind J. Constrained optimization using multiple objective programming. J. Global Optim. (2007) 37(3):325–355Crossref, Google Scholar
• Klamroth K., Tind J., Wiecek M. M. Unbiased approximation in multicriteria optimization. Math. Methods Oper. Res. (2002) 56:413–437Crossref, Google Scholar
• Korhonen P., Laakso J. A visual interactive method for solving the multiple criteria problem. Eur. J. Oper. Res. (1986) 24:277–287Crossref, Google Scholar
• Lotov A. V., Bushenkov V. A., Kamenev G. K.Interactive Decision Maps. Approximation and Visualization of Pareto Frontier (2004) (Kluwer, Boston, MA) Crossref, Google Scholar
• Miettinen K.Nonlinear Multiobjective Optimization (1999) (Kluwer, Boston, MA) Google Scholar
• Miettinen K., Tanino T., Tanaka T., Inuiguchi M. Graphical illustration of Pareto optimal solutions. Multi-Objective Programming and Goal Programming: Theory and Applications (2003) (Springer-Verlag, Berlin, Heidelberg, Germany) 197–202Crossref, Google Scholar
• Miettinen K., Mäkelä M. M. Comparative evaluation of some interactive reference point-based methods for multi-objective optimisation. J. Oper. Res. Soc. (1999) 50:949–959Crossref, Google Scholar
• Miettinen K., Mäkelä M. M. Interactive multiobjective optimization system WWW-NIMBUS on the Internet. Comput. Oper. Res. (2000) 27:709–723Crossref, Google Scholar
• Miettinen K., Mäkelä M. M. Synchronous approach in interactive multiobjective optimization. Eur. J. Oper. Res. (2006) 170:909–922Crossref, Google Scholar
• Miettinen K., Lotov A. V., Kamenev G. K., Berezkin V. E. Integration of two multiobjective optimization methods for nonlinear problems. Optim. Methods Software (2003) 18:63–80Crossref, Google Scholar
• Nakayama H., Pardalos P. M., Siskos Y., Zopounidis C. Aspiration level approach to interactive multi-objective programming and its applications. Advances in Multicriteria Analysis (1995) (Kluwer, Dordrecht, The Netherlands) 147–174Crossref, Google Scholar
• Pascoletti A., Serafini P. Scalarizing vector optimization problems. J. Optim. Theory Appl. (1984) 42:499–524Crossref, Google Scholar
• Raith A. Bicriteria optimization of synchronous generators for wind power plants. (2005) . Master's thesis, Technical University of Darmstadt, Darmstadt, GermanyGoogle Scholar
• Rote G. The convergence rate of the sandwich algorithm for approximating convex functions. Computing (1992) 48:337–361Crossref, Google Scholar
• Ruzika S., Wiecek M. M. A survey of approximation methods in multiobjective programming. J. Optim. Theory Appl. (2005) 126:473–501Crossref, Google Scholar
• Sawaragi Y., Nakayama H., Tanino T.Theory of Multiobjective Optimization. Mathematics in Science and Engineering (1985) 176(Academic Press, Orlando, FL) Google Scholar
• Schandl B., Klamroth K., Wiecek M. M. Norm-based approximation in bicriteria programming. Comput. Optim. Appl. (2001) 20:23–42Crossref, Google Scholar
• Schandl B., Klamroth K., Wiecek M. M. Introducing oblique norms into multiple criteria programming. J. Global Optim. (2002a) 23:81–97Crossref, Google Scholar
• Schandl B., Klamroth K., Wiecek M. M. Norm-based approximation in multicriteria programming. Comput. Math. Appl. (2002b) 44:925–942Crossref, Google Scholar
• Statnikov R. B., Matusov J. B.Multicriteria Optimization and Engineering (1995) (Chapman & Hall, New York) Crossref, Google Scholar
• Steuer R. E.Multiple Criteria Optimization: Theory, Computation, and Application (1986) (John Wiley & Sons, New York) Google Scholar
• Szidarovszky F., Gershon M. E., Duckstein L.Techniques for Multiobjective Decision Making in Systems Management (1986) (Elsevier Science Publishing, New York) Google Scholar
• Trinkaus H. L., Hanne T. Knowcube: A visual and interactive support for multicriteria decision making. Comput. Oper. Res. (2005) 32:1289–1309Crossref, Google Scholar
• Wierzbicki A. P. On the completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spectrum (1986) 8:73–87Crossref, Google Scholar