A novel method for solving fully fuzzy linear fractional programming problems

Article type: Research Article

Authors: Kaur, Jagdeep^{; *} | Kumar, Amit

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

Correspondence: [*] Corresponding author. Jagdeep Kaur, School of Mathematics, Thapar University, Patiala-147 004, India. E-mail: [email protected].

Abstract: There are very few methods in literature to deal with fully fuzzy linear fractional programming (FFLFP) problems. In this paper, it is pointed out that in the existing methods (Journal of Applied Mathematics and Computing, 27 (2008), 227-242; Yugoslav Journal of Operations Research, 22 (2012), 41-50) for solving FFLFP problems, an inappropriate ranking property is used which may lead to the erroneous results. To resolve the flaw of the existing methods, a new method is proposed for solving FFLFP problems, and is illustrated with the help of a numerical problem.

Keywords: Fuzzy linear fractional programming, fuzzy optimal solution, fuzzy numbers

DOI: 10.3233/JIFS-151993

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 1983-1990, 2017