Title: Parametric multi-objective fractional programming problem with interval uncertainty

Authors: Ajay Kumar Bhurjee; Geetanjali Panda

Addresses: Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur-761008, India ' Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India

Abstract: The present work defines interval and interval valued function in terms of parameters. Two types of multi-objective programming problems are considered: one is a general multi-objective interval fractional programming problem and the other is a parametric form of the first problem, where the objective and constraint functions are interval valued. Relationships between the solutions of both problems are developed, and some of the results are illustrated through numerical example.

Keywords: interval valued function; multi-objective programming problem; fractional programming problem; efficient solution.

DOI: 10.1504/IJOR.2019.099546

International Journal of Operational Research, 2019 Vol.35 No.1, pp.132 - 145

Received: 04 Nov 2015
Accepted: 09 Jun 2016
Published online: 09 May 2019 *

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