MULTIOBJECTIVE TRANSPORTATION PROBLEMUSINGFUZZYDECISIONVARIABLETHROUGHMULTI-CHOICE PROGRAMMING

Abstract

Using fuzzy decision variables, this work examines the 
examination of the Multi-Objective Transportation Problem 
(MOTP). When solving a Transportation Problem, the decision 
variable is usually considered as a real variable. There are a lot 
of multi-choice fuzzy numbers in this work, but the decision 
variable in each node is chosen from a collection of those values. 
Multiobjective Fuzzy Transportation Problems are created when 
numerous goals are included in a transportation issue with a 
fuzzy decision variable (MOFTP). We provide a novel 
mathematical model of MOFTP that incorporates fuzzy goals for 
each of the objective functions. After that, the multi-choice goal 
programming methodology is used to define the model's solution 
method. For further proof of this article's value, a numerical 
example is provided.