A note on “Fuzzy Hungarian MODI algorithm to solve fully fuzzy transportation problems”

Article type: Research Article

Authors: Mishra, Akansha^a | Kumar, Amit^b | Ali Khan, Meraj^{b; *}

Affiliations: [a] School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India | [b] Deparment of Mathematics, University of Tabuk, Tabuk, Saudi Arabia

Correspondence: [*] Corresponding author. Meraj Ali Khan, Deparment of Mathematics, University of Tabuk, Tabuk, Saudi Arabia. E-mail: m_khan@ut.edu.sa.

Abstract: Dhanasekar et al. (International Journal of Fuzzy Systems 19 (2017) 1479-1491) proposed a fuzzy Hungarian MODI algorithm to solve fully fuzzy transportation problems. Dhanasekar et al. have used the standard multiplication of trapezoidal fuzzy numbers in their proposed method. In this paper, it is pointed out that the method, proposed by Dhanasekar et al., is not valid for standard multiplication of trapezoidal fuzzy numbers and is valid only if a special type of multiplication of fuzzy numbers is used.

Keywords: Fuzzy number, triangular fuzzy number, trapezoidal fuzzy number, fuzzy arithmetic operations, fuzzy transportation problem, fuzzy optimal solution

DOI: 10.3233/JIFS-162234

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 659-662, 2018