Interactive intuitionistic fuzzy technique in multi-objective optimisation. (2016)

• Record Type: Journal Article
• Authors: Garai, Arindam; Mandal, Palash; Roy, Tapan Kumar
• Is Part Of: International journal of fuzzy computation and modelling. Volume 2:Number 1(2016)
• Page Start: 14
• Page End: 26
• Publication Date: 2016
• Subjects: interactive fuzzy optimisation -- intuitionistic fuzzy sets -- decision making -- uncertainty -- intuitionistic fuzzy optimisation -- multi-objective optimisation -- trade off rates -- Pareto optimal solution; Fuzzy mathematics -- Periodicals; Mathematical models -- Periodicals; Computer science -- Mathematics -- Periodicals; 004.01511313
• Languages: English
• ISSNs: 2052-353X

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.