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.
International Journal of Operational Research, 2019 Vol.35 No.1, pp.132 - 145
Received: 04 Nov 2015
Accepted: 09 Jun 2016
Published online: 06 May 2019 *