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On the solution of Large Scale Bi-Level Linear Vector Optimization Problems through TOPSIS

Author: Abo-Sinna, Mahmoud A.; Professor, Department of Mathematical Science, Faculty of Science, Princess Nora Bint Abdul Rahman university,Riyadh, Saudi Arabia; Abouelenien, Dr Tarek Hanafi; Assoc. Prof. Department of Operations Research & Decision Support, Faculty of Computers & Information, Cairo University, Giza, Egypt.
Publisher: Techmind Research Society 2014-12-04
Edition/Format:   Downloadable archival material : English
Summary:
In this paper, we extend TOPSIS (Technique for Order Preference by Similarity Ideal Solution) for solving Large Scale Bi-level Linear Vector Optimization  Problems (LS-BL-LVOP). In order to obtain a compromise ( satisfactory) solution to the LS-BL-LVOP problems using the proposed TOPSIS approach, a modified formulas for the distance function from the positive ideal solution (PIS ) and the distance function from the  Read more...
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Details

Genre/Form: info:eu-repo/semantics/article
TOPSIS
info:eu-repo/semantics/publishedVersion
Material Type: Internet resource
Document Type: Internet Resource, Archival Material
All Authors / Contributors: Abo-Sinna, Mahmoud A.; Professor, Department of Mathematical Science, Faculty of Science, Princess Nora Bint Abdul Rahman university,Riyadh, Saudi Arabia; Abouelenien, Dr Tarek Hanafi; Assoc. Prof. Department of Operations Research & Decision Support, Faculty of Computers & Information, Cairo University, Giza, Egypt.
Language Note: English
OCLC Number: 1130755848
Notes: Operations Research, Management
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Abstract:

In this paper, we extend TOPSIS (Technique for Order Preference by Similarity Ideal Solution) for solving Large Scale Bi-level Linear Vector Optimization  Problems (LS-BL-LVOP). In order to obtain a compromise ( satisfactory) solution to the LS-BL-LVOP problems using the proposed TOPSIS approach, a modified formulas for the distance function from the positive ideal solution (PIS ) and the distance function from the negative ideal solution (NIS) are proposed and modeled to include all the objective functions of both the first and the second levels. An  interactive decision  making algorithm for generating a compromise ( satisfactory) solution through TOPSIS approach is provided where the first level decision maker (FLDM) is asked to specify the relative importance of  the objectives. Finally, a numerical example is given to clarify the main results developed in the paper.
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