%0 Journal Article
%T A New Approach for Solving Fuzzy Linear Multi-Criterion Problems: An Approach Based on Minimization of the Errors Functions
%A Jo¨¦l Lema Makubikua
%A Amani Wema
%A Yves Tinda Mangongo
%A Joseph-D¨¦sir¨¦ Kyemba Bukweli
%A Justin Dupar Busili Kampempe
%J American Journal of Operations Research
%P 1-17
%@ 2160-8849
%D 2023
%I Scientific Research Publishing
%R 10.4236/ajor.2023.131001
%X The main purpose of this paper is to build a new approach for solving a
fuzzy linear multi-criterion problem by defining a function called ˇ°error
functionˇ±. For this end, the concept of level set <span></span><span>&nbsp;</span>is used to construct
the error function. In addition, we introduce the concept of deviation variable
in the definition of the error function. The algorithm of the new approach is
summarized in three main steps: first</span><span><span style=\"font-family:&quot;\">,</span></span><span><span style=\"font-family:&quot;\"> we transform the original fuzzy problem into a deterministic one by choosing
a specific level <span></span>. second</span></span><span><span style=\"font-family:&quot;\">,</span></span><span><span style=\"font-family:&quot;\"> we solve separately each uni-criteria problem and we compute the error
function for each criteria. Finally, we minimize the sum of error functions in
order to obtain the desired compromise solution. A numerical example is done
for a comparative study with some existing approaches to show the effectiveness
of the new approach.
%K Deviation Variable
%K Compromise Solution
%K Membership Function
%K Error Function
%K Decision-Making Function
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=122598