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Quasiconcave vector maximization: Connectedness of the sets of Pareto- optimal and weak Pareto-optimal alternatives. (English) Zbl 0496.90073

MSC:
90C31Sensitivity, stability, parametric optimization
References:
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[2]Bitran, G. R., andMagnanti, T. L.,The Structure of Admissible Points with respect to Cone Dominance, Journal of Optimization Theory and Applications, Vol. 29, pp. 573-614, 1979. · Zbl 0389.52021 · doi:10.1007/BF00934453
[3]Yu, P. L., andZeleny, M.,The Set of All Nondominated Solutions in Linear Cases and the Multicriteria Simplex Method, Journal of Optimization Theory and Applications, Vol. 19, pp. 430-460, 1975.
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[8]Geoffrion, A. M., Dyer, J. S., andFeinberg, A.,An Interactive Approach for Multi-Criterion Optimization with an Application to the Operation of an Academic Department, Management Science, Vol. 19, pp. 357-368, 1972. · Zbl 0247.90069 · doi:10.1287/mnsc.19.4.357
[9]Warburton, A. R.,Topics in Multiple Criteria Optimization, University of British Columbia, Vancouver, Canada, Faculty of Commerce and Business Administration, PhD Thesis, 1981.
[10]Hildenbrand, W., andKirman, A. P.,Introduction to Equilibrium Analysis, American Elsevier Publishing Company, New York, New York, 1976.
[11]Bowman, V. J.,On the Relationship of the Tchebycheff Norm and the Efficient Frontier of Multiple-Criteria Objectives, Multiple Criteria Decision Making, Edited by S. Zionts and H. Thiriez, Springer-Verlag, Berlin, 1975.
[12]Avriel, M.,Generalized Concavity, Proceedings of the NATO Advanced Study Institute on Generalized Concavity in Optimization and Economics, University of British Columbia, Vancouver, Canada, 1980 (to appear).
[13]Zang, I.,Concavifiability of C 2 Functions: A Unified Approach, Proceedings of the NATO Advanced Study Institute on Generalized Concavity in Optimization and Economics, University of British Columbia, Vancouver, Canada, 1980 (to appear).