Multi-objective enhanced interval optimization problem

P. Kumar () and A. K. Bhurjee ()
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P. Kumar: SRM Institute of Science and Technology
A. K. Bhurjee: VIT Bhopal University

Annals of Operations Research, 2022, vol. 311, issue 2, No 20, 1035-1050

Abstract: Abstract In this paper, we consider a multiple objective optimization problem whose decision variables and parameters are intervals. Existence of solution of this problem is studied by parameterizing the intervals. A methodology is developed to find the $$t\omega $$ t ω -efficient solution of the problem. The original problem is transformed to an equivalent deterministic problem and the relation between solutions of both is established. Finally, the methodology is verified in numerical examples.

Keywords: Non-linear optimization problem; Interval valued function; Interval optimization problem; Efficient solution; 90C25; 90C29; 90C30 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10479-020-03870-8

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