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An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem

by O. E. Emam, E. Fathy, A. A. Abohany
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 155 - Number 12
Year of Publication: 2016
Authors: O. E. Emam, E. Fathy, A. A. Abohany
10.5120/ijca2016912494

O. E. Emam, E. Fathy, A. A. Abohany . An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem. International Journal of Computer Applications. 155, 12 ( Dec 2016), 1-12. DOI=10.5120/ijca2016912494

@article{ 10.5120/ijca2016912494,
author = { O. E. Emam, E. Fathy, A. A. Abohany },
title = { An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem },
journal = { International Journal of Computer Applications },
issue_date = { Dec 2016 },
volume = { 155 },
number = { 12 },
month = { Dec },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume155/number12/26654-2016912494/ },
doi = { 10.5120/ijca2016912494 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:01:02.904187+05:30
%A O. E. Emam
%A E. Fathy
%A A. A. Abohany
%T An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 155
%N 12
%P 1-12
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The motivation behind this paper is to focus on the solution of Fully Rough Three Level Large Scale Integer Linear Programming (FRTLLSILP) problem, in which all decision parameters and decision variables in the objective functions and the constraints are rough intervals, and have block angular structure of the constraints. The optimal values of decision rough variables are rough integer intervals. The proposed model is based on interval method and slice-sum method in an interactive model to find a compromised solution for the problem under consideration. Furthermore, the concepts of satisfactoriness are advanced as the upper level decision-makers' preferences until the preferred solution is obtained.

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Index Terms

Computer Science
Information Sciences

Keywords

Large Scale Problems Interval Method Slice-Sum Method Three–level Programming Decomposition Algorithm

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