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A simple approach for multi-criteria decision-making on basis of probability theory

    Maosheng Zheng Affiliation
    ; Haipeng Teng Affiliation
    ; Yi Wang Affiliation

Abstract

In the present paper, a new concept of favorable probability is proposed first, and a simplified approach for multi-criteria decision-making is developed on basis of probability theory. It assumes that all the performance indexes of all alternatives can be divided into beneficial and unbeneficial types in the multi-criteria decision-making, and each performance index of all alternative makes its contribution to a partial favorable probability in positively or negatively correlative manners linearly upon its type of beneficial or unbeneficial; the partial favorable probability of each performance index with the same physical meaning is normalized in the alternative group; the product of all partial favorable probability of an alternative makes the total favorable probability of the alternative. As a consequence, all the alternatives can be ranked according to their total favorable probability comparatively in the multi-criteria decision-making. As application examples of the new method, the quantitative assessment of multi-criteria selection for effective dwelling house walls, project managers and contractor for construction works are given in detail, satisfied results are obtained.


First published online 10 January 2023

Keyword : quantitative assessment, favorable probability, probability based approach, multi-criteria decision-making, overall consideration

How to Cite
Zheng, M., Teng, H., & Wang, Y. (2021). A simple approach for multi-criteria decision-making on basis of probability theory. Engineering Structures and Technologies, 13(1), 26–30. https://doi.org/10.3846/est.2021.18404
Published in Issue
Dec 31, 2021
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This work is licensed under a Creative Commons Attribution 4.0 International License.

References

Athawale, V. M., Kumar, R., & Chakraborty, S. (2011). Decision making for material selection using the UTA method. The International Journal of Advanced Manufacturing Technology, 57, 11–22. https://doi.org/10.1007/s00170-011-3293-7

Brémaud, P. (2020). Probability theory and stochastic processes. Universitext Series. Springer, Cham. https://doi.org/10.1007/978-3-030-40183-2

Jahan, A., Mustapha, F., Ismail, M. Y., Sapuan, S. M., & Bahraminasab, M. (2011). A comprehensive VIKOR method for material selection. Materials and Design, 32(3), 1215–1221. https://doi.org/10.1016/j.matdes.2010.10.015

Monghasemi, S., Nikoo, M. R., Khaksar Fasaee, M. A., & Adamowski, J. (2015). A novel multi criteria decision making model for optimizing time–cost–quality trade-off problems in construction projects. Expert Systems with Applications, 42(6), 3089–3104. https://doi.org/10.1016/j.eswa.2014.11.032

Moradian, M., Modanloo, V., & Aghaiee, S. (2019). Comparative analysis of multi criteria decision making techniques for material selection of brake booster valve body. Journal of Traffic and Transportation Engineering, 6(5), 526–534. https://doi.org/10.1016/j.jtte.2018.02.001

Şengül, Ü., Eren, M., Shiraz, E. S., Gezder, V., & Şengül, A. B. (2015). Fuzzy TOPSIS method for ranking renewable energy supply systems in Turkey. Renewable Energy, 75, 617–625. https://doi.org/10.1016/j.renene.2014.10.045

Soltani, A., Hewage, K., Reza, B., & Sadiq, R. (2015). Multiple stakeholders in multi-criteria decision-making in the context of Municipal Solid Waste Management: A review. Waste Management, 35, 318–328. https://doi.org/10.1016/j.wasman.2014.09.010

Zavadskas, E. K., & Turskis, Z. (2010). A new additive ratio assessment (ARAS) method in multicriteria decision-making. Technological and Economic Development of Economy, 16(2), 159–172. https://doi.org/10.3846/tede.2010.10

Zavadskas, E. K., Kaklauskas, A., Turskis, Z., & Tamošaitien, J. (2008a). Selection of the effective dwelling house walls by applying attributes values determined at intervals. Journal of Civil Engineering and Management, 14(2), 85–93. https://doi.org/10.3846/1392-3730.2008.14.3

Zavadskas, E. K., Turskis, Z., & Bagočius, V. (2015). Multi-criteria selection of a deep-water port in the Eastern Baltic Sea. Applied Soft Computing, 26, 180–192. https://doi.org/10.1016/j.asoc.2014.09.019

Zavadskas, E. K., Turskis, Z., & Kildienė, S. (2014). State of art surveys of overviews on MCDM/MADM methods. Technological and Economic Development of Economy, 20(1), 165–179. https://doi.org/10.3846/20294913.2014.892037

Zavadskas, E. K., Turskis, Z., Antucheviciene, J., & Zakarevicius, A. (2012). Optimization of weighted aggregated sum product assessment. Elektronika ir elektrotechnika, 122(6), 3–6. https://doi.org/10.5755/j01.eee.122.6.1810

Zavadskas, E. K., Turskis, Z., Tamošaitiene, J., & Marina, V. (2008b). Multicriteria selection of project managers by applying grey criteria. Technological and Economic Development of Economy, 14(4), 462–477. https://doi.org/10.3846/1392-8619.2008.14.462-477

Zavadskas, E. K., Vilutiene, T., Turskis, Z., & Tamosaitiene, J. (2010). Contractor selection for construction works by applying Saw‐G and TOPSIS grey techniques, Journal of Business Economics and Management, 11(1), 34–55. https://doi.org/10.3846/jbem.2010.03