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Volumn 17, Issue , 2008, Pages 517-528

Multiobjective optimization: A brief overview

Author keywords

Multiobjective optimization; Orders and cones; Pareto optimality; Scalarization

Indexed keywords


EID: 84976481066     PISSN: 19316828     EISSN: 19316836     Source Type: Book Series    
DOI: 10.1007/978-0-387-77247-9_19     Document Type: Chapter
Times cited : (23)

References (27)
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    • Generalization of Domination Structures and Nondominated Solutions in Multicriteria Decision Making
    • Bergstresser, K., Charnes, A., Yu, P. L.: Generalization of Domination Structures and Nondominated Solutions in Multicriteria Decision Making. Journal of Optimization Theory and Applications, 18, 3-13 (1976).
    • (1976) Journal of Optimization Theory and Applications , vol.18 , pp. 3-13
    • Bergstresser, K.1    Charnes, A.2    Yu, P.L.3
  • 5
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    • Proper Efficient Points for Maximizations with Respect to Cones
    • Borwein, J.: Proper Efficient Points for Maximizations with Respect to Cones. SIAM Journal on Control and Optimization, 15, 57-63 (1977).
    • (1977) SIAM Journal on Control and Optimization , vol.15 , pp. 57-63
    • Borwein, J.1
  • 9
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    • On the Theory of Vector Optimization and Variational Inequalities. Image space analysis and separation
    • Giannessi, F. (ed), Kluwer Academic Publishers
    • Giannessi, F., Mastroeni G., Pellegrini, L.: On the Theory of Vector Optimization and Variational Inequalities. Image space analysis and separation. In: Giannessi, F. (ed) Vector Variational Inequalities and Vector Equilibria. Kluwer Academic Publishers (1999).
    • (1999) Vector Variational Inequalities and Vector Equilibria
    • Giannessi, F.1    Mastroeni, G.2    Pellegrini, L.3
  • 11
    • 0000923543 scopus 로고
    • Generalized Kuhn-Tucker Conditions for Mathematical Programming Problems in Banach Space
    • Guignard, M.: Generalized Kuhn-Tucker Conditions for Mathematical Programming Problems in Banach Space. SIAM Journal on Control 7, 232-241 (1969).
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    • Guignard, M.1
  • 12
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    • Necessary Conditions for Optimality of Nondifferentiable Convex Multiobjective Programming
    • Kanniappan, P.: Necessary Conditions for Optimality of Nondifferentiable Convex Multiobjective Programming. Journal of Optimization Theory and Applications, 40, 167-174 (1983).
    • (1983) Journal of Optimization Theory and Applications , vol.40 , pp. 167-174
    • Kanniappan, P.1
  • 15
    • 0031499593 scopus 로고    scopus 로고
    • Optimality Conditions in Differentiable Multiobjective Programming
    • Majumdar, A. A. K.: Optimality Conditions in Differentiable Multiobjective Programming. Journal of Optimization Theory and Applications, 92, 419-427 (1997).
    • (1997) Journal of Optimization Theory and Applications , vol.92 , pp. 419-427
    • Majumdar, A.A.K.1
  • 16
    • 0002306327 scopus 로고
    • On Fritz-John Type Optimality Criterion in Multi-Objective Optimization
    • Marusciac, I.: On Fritz-John Type Optimality Criterion in Multi-Objective Optimization. L'Analyse Numerique et la Theorie de l'Approximations, 11, 109-114 (1982).
    • (1982) L'Analyse Numerique et la Theorie de l'Approximations , vol.11 , pp. 109-114
    • Marusciac, I.1
  • 18
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    • Weak Pareto-Optimal Necessary Conditions in a Nondifferentiable Multiobjective Program on a Banach Space
    • Minami M.: Weak Pareto-Optimal Necessary Conditions in a Nondifferentiable Multiobjective Program on a Banach Space. Journal of Optimization Theory and Applications, 41, 451-461 (1983).
    • (1983) Journal of Optimization Theory and Applications , vol.41 , pp. 451-461
    • Minami, M.1
  • 20
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    • Necessary Optimality Conditions in Nondifferentiable Vector Optimization
    • Pappalardo, M., Stöcklin, W.: Necessary Optimality Conditions in Nondifferentiable Vector Optimization. Optimization, 50, 233-251 (2001).
    • (2001) Optimization , vol.50 , pp. 233-251
    • Pappalardo, M.1    Stöcklin, W.2
  • 22
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    • Optimality Conditions in Multiobjective Differentiable Programming
    • Singh, C.: Optimality Conditions in Multiobjective Differentiable Programming. Journal of Optimization Theory and Applications, 53, 115-123 (1987).
    • (1987) Journal of Optimization Theory and Applications , vol.53 , pp. 115-123
    • Singh, C.1
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    • Scalarization and Lagrange duality in multiobjective optimization
    • Wang, S., Li, Z.: Scalarization and Lagrange duality in multiobjective optimization. Optimization, 26, 315-324 (1992).
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    • The Optimality Conditions of Differentiable Vector Optimization Problems
    • Zemin, L.: The Optimality Conditions of Differentiable Vector Optimization Problems. Journal of Mathematical Analysis and Applications, 201, 35-43 (1996).
    • (1996) Journal of Mathematical Analysis and Applications , vol.201 , pp. 35-43
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.