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Two types of duality in multiobjective fractional programming

Published online by Cambridge University Press:  17 April 2009

L. Coladas ,
Z. Li  and
S. Wang
L. Coladas
Affiliation:
Departament de Estadística e Investigación Operativa, Universidad de Santiago de Compostela, 15771 Santiago de Compostela, Spain, e-mail: coladas@zmat.usc.es
Z. Li
Affiliation:
Department of Mathematics, University of Inner Mongolia, Hohhot 010021, China
S. Wang
Affiliation:
Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China, e-mail: sywang@issO2.iss.ac.cn
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Abstract

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In this paper, we tire concerned with duality of a multiobjective fractional program. Two different dual problems are introduced with respect to the primal multiobjective fractional program. Under a mild assumption, we prove a weak duality theorem and a strong duality theorem for each type of duality. Finally, we explore some relations between these two types of duality.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 1 , August 1996 , pp. 99 - 114
Copyright
Copyright © Australian Mathematical Society 1996

References

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