Title: Interactive intuitionistic fuzzy technique in multi-objective optimisation

Authors: Arindam Garai; Palash Mandal; Tapan Kumar Roy

Addresses: Department of Mathematics, Sonarpur Mahavidyalaya, 700149 Rajpur, Kolkata, WB, India ' Department of Mathematics, IIEST, Shibpur, Howrah, WB 711103, India ' Department of Mathematics, IIEST, Shibpur, Howrah, WB 711103, India

Abstract: In this paper, an interactive approach in multi objective optimisation problem under intuitionistic fuzzy environment is presented. This intuitionistic fuzzy problem is first converted into a single objective crisp optimisation problem. In proposed approach, in each step, decision maker (DM) is requested to update the reference acceptance level and reference rejection level of referred objective only. Membership and non-membership grades of all other objectives are automatically updated from the list of trade off rates in each stage. It is repeated until DM is satisfied with the optimal solution. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method and conclusions are drawn.

Keywords: interactive fuzzy optimisation; intuitionistic fuzzy sets; decision making; uncertainty; intuitionistic fuzzy optimisation; multi-objective optimisation; trade off rates; Pareto optimal solution.

DOI: 10.1504/IJFCM.2016.077872

International Journal of Fuzzy Computation and Modelling, 2016 Vol.2 No.1, pp.14 - 26

Received: 03 Mar 2015
Accepted: 29 Aug 2015
Published online: 20 Jul 2016 *

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