Title: Fuzzy-based interactive method for solution of bi- and multi-level programming problems

Authors: Krishna Pratap Singh; Kusum Deep; M.L. Kansal

Addresses: Division of Applied Sciences and IRCB, IIIT Allahabad, 211012, India ' Department of Mathematics, IIT Roorkee, 247667, India ' Department of Water Resources Development and Management, IIT Roorkee, 247667, India

Abstract: In this paper, a fuzzy-based interactive method for bi-level and multi-level, linear and non-linear, programming problems is proposed. In this approach product operator is used for aggregation of different fuzzy goals and MI-LXPM, a genetic algorithm, is used as optimisation technique. Performance of the proposed method is tested on a set of five examples taken from literature.

Keywords: bi-level programming problems; multi-level programming problems; fuzzy interactive method; fuzzy logic; genetic algorithms; optimisation.

DOI: 10.1504/IJIDS.2014.061774

International Journal of Information and Decision Sciences, 2014 Vol.6 No.2, pp.166 - 181

Published online: 05 Jul 2014 *

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