Title: Fractile criterion iterative-interactive optimisation process for multi-objective stochastic linear programming problems in fuzzy environment

Authors: Arindam Garai

Addresses: Department of Mathematics, Sonarpur Mahavidyalaya, Rajpur, Kolkata, WB, India

Abstract: Present article focuses on one general fractile criterion iterative-interactive optimisation process in order to obtain the preferable Pareto optimal solution, subject to specified main objective function to multi-objective stochastic linear programming problems in fuzzy environment. This asks the managers to identify the main objective function among all objective functions without specifying any weights or utility functions. Unlike existing articles, the reference membership levels to conflicting objective functions are analytically determined by employing the trade-off ratios among objective functions in this process. Moreover, the necessity of only very few interactions with decision-makers saves the precious time and money of organisations. Numerical applications demonstrate the efficiency of proposed process. Finally, conclusions are drawn.

Keywords: fractile criterion optimisation; trade-off ratio; iterative-interactive optimisation; main objective function; multi-objective stochastic optimisation; chance constrained programming.

DOI: 10.1504/IJMOR.2021.113588

International Journal of Mathematics in Operational Research, 2021 Vol.18 No.3, pp.289 - 309

Received: 16 May 2019
Accepted: 31 Dec 2019
Published online: 12 Mar 2021 *

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