A note on “Solving intuitionistic fuzzy linear programming problems by ranking function”

Article type: Research Article

Authors: Sidhu, Sukhpreet Kaur^* | Kumar, Amit

Affiliations: School of Mathematics, Thapar University, Patiala, India

Correspondence: [*] Corresponding author. Sukhpreet Kaur Sidhu, School of Mathematics, Thapar University, Patiala-147 004, India. Tel.: +91 9501116440; E-mail: sukhpreetkaursran@gmail.com.

Abstract: Suresh et al. (Solving intuitionistic fuzzy linear programming problems by ranking function, Journal of Intelligent and Fuzzy Systems, 27, 3081–3087, 2014) proposed the ranking function for comparing triangular intuitionistic fuzzy numbers (TIFNs) and applied this ranking function to solve different types of intuitionistic fuzzy linear programming problems (IFLPPs). In this note, it is pointed out that the ranking function proposed by authors is not valid. Hence, the results of intuitionistic fuzzy linear programming problems, obtained by using this ranking function, are also not valid. Further, the exact ranking function is obtained by modifying existing ranking function and using the exact ranking function, the exact results of intuitionistic fuzzy linear programming problems considered by Suresh et al., are obtained.

Keywords: Triangular intuitionistic fuzzy number, ranking function

DOI: 10.3233/IFS-152033

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2787-2790, 2016