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A Voting Mechanism Designed for Talent Shows in Mass Media: Weighted Preference of Group Decision Makers in Social Networks Using Fuzzy Measures and Choquet Integral

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Abstract

As the development of social networks tends to shape people’s view about choices, decision making theories are challenged by numerous unprecedented difficulties, from both the theories and practice. One hot topic is how to design a voting mechanism for talent shows in mass media that not only attracts public attention but also reflects an objective and fair principle. Weighted voting, where the voting power of a representative is proportional to the population in his or her district, has been widely adopted in legislative selections and talent show competitions. However, weighted voting system may cause disenfranchisement of some representatives and reduce the entertainment and interest of talent shows because of the ignorance of complex interactions among the representatives. In this paper, possible interactions among representatives are analyzed by investigating the associated social networks and subsequently some fuzzy measures are utilized to quantify these interactions. Specifically, the weights determination model is adopted in this situation for defining fuzzy measures to avoid the disenfranchisement, and a multiple-group hierarchy decision model is developed to solve social network group decision making problems where the Choquet integral is employed to reduce the impact from synergy and redundancy between representatives. Moreover, a voting mechanism for talent shows in mass media is provided. Finally, an illustrative example, and a close look at the current algorithmic issues and future trends from different angles are provided.

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Notes

  1. https://ent.163.com/15/0303/10/AJPCQQRD00032DGD.html.

    https://www.digitaling.com/articles/13686.html Quoted on 10-17-2019.

  2. https://walkthechat.com/5-wechat-survey-tools-to-help-you-learn-more-about-your-followers/ Quoted on 10-17-2019 (Wu et al. 2019a).

  3. Semiorder refers to a partially ordered relation. Semiorder or "partial order" is used as an indication that not every pair of elements in a poset needs to be comparable. That is, there may be pairs of elements for which neither element precedes the other in the poset.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (NSFC) (71871121, 71401078, and 71971121), Top-notch Academic Programs Project of Jiangsu High Education Institutions, and HRSA, U.S. Department of Health and Human Services (No. H49MC0068).

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Authors and Affiliations

  1. School of Management Science and Engineering, Nan**g University of Information Science and Technology, Nan**g, 210044, China

    Mei Cai & Zaiwu Gong

  2. Department of Administrative Sciences, Université du Québec en Outaouais, Gatineau, QC, J8X 3X7, Canada

    Li Yan

  3. Center for Mathematics and Interdisciplinary Sciences, **dian University, **’an, 710071, Shaanxi, China

    Li Yan

  4. Department of Mathematics and Computer Science, University of North Carolina at Pembroke, Pembroke, NC, 28372, USA

    Guo Wei

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  1. Mei Cai
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  2. Li Yan
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  3. Zaiwu Gong
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  4. Guo Wei
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Correspondence to Guo Wei.

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Cai, M., Yan, L., Gong, Z. et al. A Voting Mechanism Designed for Talent Shows in Mass Media: Weighted Preference of Group Decision Makers in Social Networks Using Fuzzy Measures and Choquet Integral. Group Decis Negot 30, 1261–1284 (2021). https://doi.org/10.1007/s10726-020-09666-2

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