Title of article
A class of multi-objective mathematical programming problems in a rough environment
Author/Authors
Hamzehee، Ali نويسنده Islamic Azad University, Kerman Branch , , Yaghoobi، Mohammad Ali نويسنده Dept. of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran , , Mashinchi، Mashaallah نويسنده Department of Statistics at Shahid Bahonar University of Kerman ,
Issue Information
دوفصلنامه با شماره پیاپی 0 سال 2016
Pages
15
From page
301
To page
315
Abstract
This paper presents a set of multi-objective programming problems in a rough
environment. These problems are classi ed into ve 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 ecient (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.
Journal title
Scientia Iranica(Transactions E: Industrial Engineering)
Serial Year
2016
Journal title
Scientia Iranica(Transactions E: Industrial Engineering)
Record number
2386659
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