Solving a Fully Rough Integer Linear Fractional Programming Problem | ||||
Delta Journal of Science | ||||
Article 6, Volume 40, Issue 1, June 2019, Page 46-58 PDF (1.96 MB) | ||||
Document Type: Research and Reference | ||||
DOI: 10.21608/djs.2019.139195 | ||||
View on SCiNiTO | ||||
Authors | ||||
El-Saeed Ammar; Tarek El jerbi* | ||||
Department of mathematics, Faculty of science. Tanta University | ||||
Abstract | ||||
In this paper, a fully rough integer linear fractional programming problem is introduced, in which all coefficients and decision variables in the objective function and the constraints are rough intervals. The optimal value of decision rough variables is rough interval. In order to solve this problem, we will construct four crisp integer linear fractional programming problems. Via these four crisp problems the rough optimal integer solution is obtained. An illustrative numerical example is given for the developed theory. | ||||
Keywords | ||||
Integer programming; Fractional programming; Integer linear fractional programming; Rough set theory; Rough integer interval | ||||
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