# On Duality with Support Functions for a Multiobjective Fractional Programming Problem

### Indira P. Debnath, S. K. Gupta

#### Abstract

In this article, a different class of function called (K × Q)-F-type I has been introduced. Further, we have formulated a problem over cones and appropriate duality results have been established taking the concerned functions to be (K ×Q)- F-type I. The results which we have put forward in the paper generalizes some of the known results appeared in the literature.

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#### Paper Citation

#### in Harvard Style

Debnath I. and Gupta S. (2016). **On Duality with Support Functions for a Multiobjective Fractional Programming Problem** . In *Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-171-7, pages 115-121. DOI: 10.5220/0005666001150121

#### in Bibtex Style

@conference{icores16,

author={Indira P. Debnath and S. K. Gupta},

title={On Duality with Support Functions for a Multiobjective Fractional Programming Problem},

booktitle={Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2016},

pages={115-121},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005666001150121},

isbn={978-989-758-171-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - On Duality with Support Functions for a Multiobjective Fractional Programming Problem

SN - 978-989-758-171-7

AU - Debnath I.

AU - Gupta S.

PY - 2016

SP - 115

EP - 121

DO - 10.5220/0005666001150121