International Journal of Industiral Engineering & Producion Research
نشریه بین المللی مهندسی صنایع و تحقیقات تولید
IJIEPR
Engineering & Technology
http://ijiepr.iust.ac.ir
18
agent2
2008-4889
2345-363X
10.22068/ijiepr
en
jalali
1398
12
1
gregorian
2020
3
1
31
1
online
1
fulltext
en
Study on probabilistic multi- objective linear fractional programming problems under fuzziness
تحقیق در عملیات
Operations Research
پژوهشي
Research
This paper deals with a multi- objective linear fractional programming problem involving probabilistic parameters in the right- hand side of the constraints. These probabilistic parameters are randomly distributed with known means and variances through the use of Uniform and Exponential Distributions. After converting the probabilistic problem into an equivalent deterministic problem, a fuzzy programming approach is applied by defining a membership function. A linear membership function is being used for obtaining an optimal compromise solution. The stability set of the first kind without differentiability corresponding to the obtained optimal compromise solution is determined. A solution procedure for obtaining an optimal compromise solution and the stability set of the first kind is presented. Finally, a numerical example is given to clarify the practically and the efficiency of the study.<br>
Multi-objective linear fractional programming,Uniform distribution,Exponential distribution,Linear membership function,Fuzzy programming,optimal compromise solution,parametric study
1
12
http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1183-5&slc_lang=en&sid=1
Hamiden
Khalifa
hamiden_2008@yahoo.com
`180031947532846005642`

180031947532846005642
Yes
Operations Research Department- Faculty of Graduate Studies of Statistical Research- Cairo University
E. E.
Ammar
`180031947532846005643`

180031947532846005643
No
2. Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt.