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An Application of the Banzhaf Values for Cooperating Among Producers of Waste Processing in the Al-Mahmudiya Factory

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DOI:

https://doi.org/10.21123/bsj.2023.6788

Keywords:

Banzhaf value, Cooperative game, Decision-making process, Game theory, Waste management

Abstract

     The game theory has been applied to all situations where agents’ (people or companies) actions are utility-maximizing, and the collaborative offshoot of game theory has proven to be a robust tool for creating effective collaboration strategies in a broad range of applications. In this paper first, we employ the Banzhaf values to show the potential cost to waste producers in the case of a cooperation and to reduce the overall costs of processing non-recyclable waste during cooperation between producers. Secondly, we propose an application of the methodology to study a case for five waste producers' waste management in the Al-Mahmudiya factory with the aim of displaying the potential cost to waste producers in case of cooperation. Lastly, the obtained results of the proposed framework will strongly help professionals to formulate and improve well-organized strategies for the waste management system of the future.

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References

Cheng S, Chan CW, Huang GH. An integrated multi-criteria decision analysis and inexact mixed integer linear programming approach for solid waste management. Eng Appl Artif Intell. 2003; 16: 543–554. https://doi.org/10.1016/S0952-1976(03)00069-1.

Karmperis A. C., Aravossis K., Tatsiopoulos I., Sotirchos A. Decision support models for solid waste management: review and game-theoretic approaches. Waste Manag. 2013; 33: 1290–1301. https://doi.org/10.1016/j.wasman.2013.01.017 .

He Z, Xiong J, Ng TS, Fan B, Shoemaker CA. Managing competitive municipal solid waste treatment systems: an agent-based approach. Eur J Oper Res. 2017; 263: 1063–1077. https://doi.org/10.1016/j.ejor.2017.05.028 .

Nguyen-Trong K, Nguyen-Thi-Ngoc A, Nguyen-Ngoc D., Dinh-Thi-Hai V. Optimization of municipal solid waste transportation by integrating GIS analysis, equation-based, and agent-based model. Waste Manag. 2017; 59: 14–22.

Feyzi S, Khanmohammadi M, Abedinzadeh N, Aalipour M. Multi- criteria decision analysis FANP based on GIS for siting municipal solid waste incineration power plant in the north of Iran. Sustain Cities Soc. 2019; 47: 101-513. https://doi.org/10.1016/j.scs.2019.101513.

Andrade A, Silva P. Game theory in waste management. University of Madeira. Joao Zambujal-Oliveira (Editor). Chapter 9. Theory and Applications in Game Theory. 2018; 235-284.

Osička O. Game theory in waste management. MSs Dissertation. Brno University of Technology. Brno. Czech Republic. 2016.

Eryganov I, Šomplák R, Nevrlý V, Smejkalová V, Hrabec D, Haugen K. Application of cooperative game theory in waste management. Chem Eng Trans. 2020; 81: 877-882.

Banzhaf J. Weighted voting does not work: A mathematical analysis. Rutgers Law Rev. 1965; 19: 317 -343.

Alonso-Meijide J M, Fiestras-Janeiro M G. The Banzhaf value and communication situations. Nav. Res Logist. (NRL) 2006, 53, 198–203.

Gallego I, Fernández, J R, Jiménez-Losada A, Ordóñez M. A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament. Fuzzy Sets Syst. 2014, 255: 128–145.

Fragnelli V, Pusillo L. Multiobjective Games for Detecting Abnormally Expressed Genes. Mathematics 2020; 8, 350: 1- 12. www.mdpi.com/2227-7390/8/3/350/pdf

Abbas J. The Banzhaf interaction index for bi-cooperative game. Int J Gen Syst. 2021; 50 (5): 486-500.

Raghad I, Mayada N, Abbas J. An Application of Non-additive Measures and Corresponding Integrals in Tourism Management, Baghdad Sci J. 2020; 17(1): 172-177. https://doi.org/10.21123/bsj.2020.17.1.0172

Abbas J. Shilkret Integral Based on Binary-Element Sets and its application in the area of Synthetic Evaluation, Engineering & Technology Journal. 2015; 33(B): 571–577. https://www.iasj.net/iasj/download/3ef893c8cc83bd7f

Abbas J., Jaferi H., The Alternative Representation of Bipolar Sugeno Integral, Engineering & Technology Journal. 2022; 40(10): 1318-1324. http://doi.org/10.30684/etj.2022.135012.1256

Abbas J. The Balancing Bipolar Choquet Integrals. Int J Innov Comput Inf Control. 2021; 17 (3): 949–957.

Abbas J. The Bipolar Choquet Integrals Based On Ternary-Element Sets. J Artif Intell Soft Comput Res. 2016; 6(1): 13-21.

Abbas J. The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets. Baghdad Sci J. 2016; 13 (3): 607-613.

Kareem F., Abbas J. A Generalization of the Concave Integral in Terms of Decomposition of the Integrated Function for Bipolar Scales. JASN. 2021; 1(4): 81–90.

Myerson R B. Game Theory. Analysis of Conflict. Harvard University Press. Cambridge. MA. USA. 1991. 568 p.

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