A New Ensemble Methodology Using Half Quadratic Programming

DOI

10.2991/978-94-6463-926-1_86How to use a DOI?

Keywords

Ensemble MCDM; HQP; Optimization Techniques; TOPSIS; VIKOR

Abstract

Ensemble Multi-Criteria Decision Making (MCDM) has emerged as an innovative field, addressing challenges associated with the absence of a universally superior MCDM technique and the lack of objective methods for selecting the best approach. Researchers have proposed various techniques for combining MCDM methods, including statistical approaches (e.g., geometric mean), voting mechanisms (e.g., majority rule), and optimization methods (e.g., half-quadratic programming). This study introduces a new ensemble method based on Half-Quadratic Programming (HQP), demonstrated through a numerical example. Four widely used MCDM methods, TOPSIS with AHP, TOPSIS with ENTROPY, VIKOR with AHP, and VIKOR with ENTROPY, are applied to a decision matrix with six alternatives and five criteria. The results reveal four different ranking orders and a final ensemble ranking of [1, 4, 6, 2, 5, 3], with optimized weights of [0.349, 0.138, 0.349, 0.166]. The consensus level is 0.915, and the trust index reaches 0.938. The VIKOR method, with varying weights, contributed more significantly to the ensemble ranking. This study demonstrates that HQP effectively aggregates multiple MCDM methods into a unified result, offering valuable insights for future research and application in MCDM methods.

Copyright

© 2025 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Ruqayah Alaa Zaidan
AU  - Chung-Chian Hsu
PY  - 2025
DA  - 2025/12/31
TI  - A New Ensemble Methodology Using Half Quadratic Programming
BT  - Proceedings of the International Conference on Applied Science and Technology on Engineering Science 2025 (iCAST-ES 2025)
PB  - Atlantis Press
SP  - 768
EP  - 777
SN  - 2352-5401
UR  - https://doi.org/10.2991/978-94-6463-926-1_86
DO  - 10.2991/978-94-6463-926-1_86
ID  - Zaidan2025
ER  -