|
|
|
|
A class of multi-objective mathematical programming problems in a rough environment
|
|
|
|
|
|
|
|
نویسنده
|
Hamzeheea A. ,Yaghoobi M.A. ,Mashinchi M.
|
|
منبع
|
scientia iranica - 2016 - دوره : 23 - شماره : 1-E - صفحه:301 -315
|
|
چکیده
|
This paper presents a set of multi-objective programming problems in a rough environment. these problems are classified intofive classes according to the location of the roughness in the objective functions or the feasible set. we study the class in which all of the objective functions are crisp and the feasible region is a rough set and, in particular, discuss the properties of the complete and efficient (pareto optimal) solutions of rough multi-objective programming problems. in order to obtain these solutions, we need certain theorems, which we derive. finally, we illustrate our results by examples.
|
|
کلیدواژه
|
Rough set;Multi-objective programming;Rough programming;Complete-optimal solutions;Efficient solutions.
|
|
آدرس
|
shahid bahonar university of kerman, Faculty of Mathematics and Computer, Department of Mathematics, ایران. Islamic Azad University,Kerman Branch, Faculty of Basic Science, Department of Mathematics, ایران, shahid bahonar university of kerman, Faculty of Mathematics and Computer, Department of Mathematics, ایران, shahid bahonar university of kerman, Faculty of Mathematics and Computer, Department of Statistics, ایران
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|