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The Solidarity value for fuzzy cooperative games with multi-granularity linguistic participation levels

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Abstract

With the increasingly fierce market competition, enterprises hope to enhance their competitiveness through cooperation. In view of the uncertainty of coalitions formation in the real environment, the rational formulation of profit imputation principle is the basis for coalitions to maintain stability. This paper proposes a cooperative game with multi-granularity linguistic fuzzy coalitions to study the profit imputation. Firstly, a multi-granularity linguistic label set and a transformation function with preferred linguistic participation level are defined. Moreover, a new imputation of cooperative game with multi-granularity linguistic fuzzy coalitions is given, and its existence, uniqueness and other important properties are discussed. Finally, the effectiveness and practicality of the method is illustrated by applying the Solidarity value of cooperative game with multi-granularity linguistic fuzzy coalitions to collective forest land.

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Funding

This work was supported by the National Social Science Foundation of China (No. 22BGL303): Research on dynamic game strategy and long-term win–win mechanism of cooperative management on collective forest land.

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Authors and Affiliations

  1. College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou, 350002, Fujian, China

    Ying Zhao, Jian Lin & Jing Lu

  2. Business School, Sichuan University, Chengdu, 610064, Sichuan, China

    Jian Lin

Authors
  1. Ying Zhao
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  2. Jian Lin
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  3. Jing Lu
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Contributions

YZ: investigation, conceptualization, and writing—original draft. JL: methodology, supervision, resources, and writing—original draft. JL: validation, software, and formal analysis.

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Correspondence to Jian Lin.

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Zhao, Y., Lin, J. & Lu, J. The Solidarity value for fuzzy cooperative games with multi-granularity linguistic participation levels. Soft Comput 28, 305–323 (2024). https://doi.org/10.1007/s00500-023-09286-3

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