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On Fuzzy Bi-Level Multi-Objective Large Scale Integer Quadratic Programming Problem

by O. E. Emam, E. Fathy, A. A. Abdullah
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 159 - Number 2
Year of Publication: 2017
Authors: O. E. Emam, E. Fathy, A. A. Abdullah
10.5120/ijca2017912878

O. E. Emam, E. Fathy, A. A. Abdullah . On Fuzzy Bi-Level Multi-Objective Large Scale Integer Quadratic Programming Problem. International Journal of Computer Applications. 159, 2 ( Feb 2017), 28-33. DOI=10.5120/ijca2017912878

@article{ 10.5120/ijca2017912878,
author = { O. E. Emam, E. Fathy, A. A. Abdullah },
title = { On Fuzzy Bi-Level Multi-Objective Large Scale Integer Quadratic Programming Problem },
journal = { International Journal of Computer Applications },
issue_date = { Feb 2017 },
volume = { 159 },
number = { 2 },
month = { Feb },
year = { 2017 },
issn = { 0975-8887 },
pages = { 28-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume159/number2/26975-2017912878/ },
doi = { 10.5120/ijca2017912878 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:04:40.777003+05:30
%A O. E. Emam
%A E. Fathy
%A A. A. Abdullah
%T On Fuzzy Bi-Level Multi-Objective Large Scale Integer Quadratic Programming Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 159
%N 2
%P 28-33
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The motivation behind this paper is to focus on the solution of a Bi-Level Multi-Objective Large Scale Integer Quadratic Programming (BLMOLSIQP) problem in which all decision parameters in the objective functions are symmetric trapezoidal fuzzy numbers, and has block angular structure of the constraints. The suggested algorithm based on a linear ranking function, weight method, Taylor’s series, decomposition algorithm and branch and bound method is to find a compromised solution for the problem under consideration. In addition, the theoretical results are illustrated with the help of a numerical example.

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Index Terms

Computer Science
Information Sciences

Keywords

Large Scale Integer Programming Quadratic Programming Multi-Objective Fuzzy Programming Bi-level programming. MSC 2010: 90C06 90C10 90C20 90C29 90C70 90C99..

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