Existence of χ‐efficient solution of multiobjective fractional programming problem with bounded parameters

In this paper, a methodology is developed to solve a multiobjective fractional programming problem in which the coefficients of the objective functions and constraints are intervals. This model is transformed into an interval‐free equivalent optimization problem. A new partial ordering is introduced...

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Bibliographic Details
Published in:International transactions in operational research Vol. 25; no. 6; pp. 1947 - 1971
Main Authors: Jana, Mrinal, Panda, Geetanjali
Format: Journal Article
Language:English
Published: Oxford Blackwell Publishing Ltd 01.11.2018
Subjects:
Constraint modelling
constraint programming
fractional programming
Mathematical programming
Multiple objective analysis
multiple objective programming
Nonlinear programming
Operations research
uncertainty modeling
ISSN:0969-6016, 1475-3995
Online Access:Get full text
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Summary:In this paper, a methodology is developed to solve a multiobjective fractional programming problem in which the coefficients of the objective functions and constraints are intervals. This model is transformed into an interval‐free equivalent optimization problem. A new partial ordering is introduced and the relation between the original problem and the transformed problem is established using this partial ordering. The proposed methodology is illustrated through a numerical example.
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ISSN:0969-6016
1475-3995
DOI:10.1111/itor.12260