Shannon’s entropy method to find weights of objectives in sectorization problem

Aydin Teymourifar*, Ana Maria Rodrigues, José Soeiro Ferreira

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

One of the most widely used methods in multi-objective optimization problems is the weighted sum method. However, in this method, defining the weights of objectives is always a challenge. Various methods have been suggested to achieve the weights, one of which is Shannon’s entropy method. In this study, a bi-objective model is introduced to solve the sectorization problem. As a solution method, the model is transformed into two single-objective ones. Also, the bi-objective model is solved for the case where the weights are equal to one. The gained three results from a benchmark are supposed as alternatives in a decision matrix. After the limitation of this approach appears, solutions from different benchmarks are added to the matrix. With Shannon’s entropy method, the weights of the objective functions are got from the decision matrix. The limitations of the approach and possible causes are discussed.
Original languageEnglish
Title of host publication6th International Mediterranean Science and Engineering Congress (IMSEC 2021)
Subtitle of host publicationproceedings book
EditorsMustafa Özcanlı, Hasan Serin, Ahmet Çalık
Pages62-65
Number of pages4
ISBN (Electronic)978605XXXXX21
Publication statusPublished - 2021
Event6th International Mediterranean Science and Engineering Congress - Alanya, Turkey
Duration: 25 Oct 202127 Oct 2021

Conference

Conference6th International Mediterranean Science and Engineering Congress
Abbreviated titleIMSEC 2021
Country/TerritoryTurkey
CityAlanya
Period25/10/2127/10/21

Keywords

  • Shannon’s entropy method
  • Sectorization
  • Multi-objective optimization
  • Weighted sum method

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