Multi-Objective Fixed-Charge Linear Fractional Transportation Problem Using Rough Programming

Abstract

This paper uses rough programming to discuss the Multi-Objective Fixed-Charge Linear Fractional Transportation Problem (MOFCLFTP). In real life, market globalization, uncontrollable factors, and other factors may prevent you from accurately defining variables for the MOFCLFTP. Therefore, variables that use MOFCLFTP are roughly spaced. The proposed form uses an expected value operator that translates into a rough MOFCLFTP deterministic MOFCLFTP. Three different methods are used: fuzzy programming, weighted sum, and global criterion to get the best compromise for the proposed model. The MOFCLFTP example has included the theory basis.