Solving intuitionistic fuzzy linear programming problems by ranking function

Article type: Research Article

Authors: Suresh, M. | Vengataasalam, S. | Arun Prakash, K.

Affiliations: Department of Mathematics, Kongu Engineering College, Perundurai, Erode, India

Note: [] Corresponding author. M. Suresh, Department of Mathematics, Kongu Engineering College, Perundurai 638 052, Erode, India. E-mails: mathssuresh84@gmail.com; sv.maths@gmail.com (S. Vengataasalam); arunfuzzy@gmail.com (K. Arun Prakash).

Abstract: Ranking fuzzy numbers plays a very important role in the decision process, data analysis and applications. The concept of an intuitionistic fuzzy number (IFN) is of importance for quantifying an ill-known quantity, and the ranking of IFNs is a very difficult problem. In this paper ranking of triangular intuitionistic fuzzy numbers (TIFNs) is made by means of magnitude and applied to solve intuitionistic fuzzy linear programming problem. Numerical examples are examined to demonstrate the implementation of ranking method.

Keywords: Intuitionistic fuzzy set, triangular intuitionistic fuzzy number, ranking of triangular intuitionistic fuzzy numbers, intuitionistic fuzzy linear programming problem

DOI: 10.3233/IFS-141265

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 6, pp. 3081-3087, 2014