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学者姓名：杨洁
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Abstract ：
PurposeFarmer-supermarket direct purchase (FSDP) is one of the significant innovative modes in the circulation of agricultural products. The previous studies on the FSDP mode were mainly premised on the assumption of power symmetry among cooperative players. Nevertheless, in reality, power asymmetry often exists among players because of restricted coalitions and diverse input resources. In this research, the influence of power asymmetry on profit distribution among various players in FSDP is explored.Design/methodology/approachThe power asymmetry within FSDP is explored in two aspects: the distinct status of coalition structure and the varying degrees of dependence among players. Since FSDP is a typical cooperative mode, an average tree solution (abbreviated as "A-T solution") of a cooperative game with a restricted coalition structure and the tripartite mutual deterrence model with a dependency factor are analyzed. Subsequently, the corresponding profit distribution strategies of FSDP are provided.FindingsThis research demonstrates that the cooperative coalition structure and/or location and the degree of dependence on other players can affect their profit-earning capacity during the FSDP process. Furthermore, the players' ability to distribute profits is negatively associated with the degree of interdependence (dependency factor). It is shown by the fact that cooperatives are at the center of FSDP, as farmers in China are a dispersed and powerless group; in a word, the FSDP supply chain is a restricted coalition structure. Even in an arbitrary coalition structure, farmers still remain in a weak position and lack the power of speech in the distribution of profits. Therefore, enhancing the position of farmers is necessary to stabilize cooperative relationships in supply chains.Research limitations/implicationsThese methods have broad potential applications to research power asymmetry in supply chain management. However, it is only applicable in situations where significant information on alliance structure and the dependence degree is available.Originality/valueThis study concentrates on the factors of power asymmetry and investigates the influence of power asymmetry on the profit distribution among players, thereby expanding the depth and width of the research on FSDP. The key contribution of this paper lies in explaining the "unfair" profit distribution scheme in FSDP from coalition cooperative game and bargaining game theory (a mathematical perspective). It provides a decision-making basis for enhancing the overall position of farmers in the agricultural supply chain.
Keyword ：
Cooperative game Cooperative game Farmer-supermarket direct purchase Farmer-supermarket direct purchase Non-cooperative game Non-cooperative game Power asymmetry Power asymmetry Profit distribution Profit distribution Restricted coalition Restricted coalition
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| GB/T 7714 | Lai, Libang , Liu, Jiacai , Yang, Jie . Farmer-supermarket direct purchase model: considering power asymmetry [J]. | MANAGEMENT DECISION , 2025 . |
| MLA | Lai, Libang 等. "Farmer-supermarket direct purchase model: considering power asymmetry" . | MANAGEMENT DECISION (2025) . |
| APA | Lai, Libang , Liu, Jiacai , Yang, Jie . Farmer-supermarket direct purchase model: considering power asymmetry . | MANAGEMENT DECISION , 2025 . |
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In the realm of strategic decision making, particularly within interactive game-based decision contexts, the rational evaluation and prioritization of expected payoffs pose significant challenges. Decision making processes are often confronted with dual uncertainties, stemming from individual cognitive hesitancy and the inherent fuzziness of strategic options. To address these complexities, probabilistic hesitant fuzzy elements (PHFEs) serve as an effective mathematical framework. Furthermore, a comprehensive entropy measure for probabilistic hesitant fuzzy information is developed and successfully applied to game decision-making processes. Firstly, a new entropy measure method for PHFE is proposed in terms of dual-dimensional characterization of fuzziness and non-specificity. Then, a novel score function for PHFE is introduced by utilizing the proposed entropy foundation, and integrated it into a fuzzy bi-matrix game model. The model can better solve complex game decision making problems, such as ecological management. The framework demonstrates the superiority of strategy selection in complex fuzziness information.
Keyword ：
bi-matrix game bi-matrix game comprehensive entropy measure comprehensive entropy measure Measure method Measure method probabilistic hesitant fuzzy element probabilistic hesitant fuzzy element
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| GB/T 7714 | Yang, Jie , Wang, Haolin , Lai, Libang . A comprehensive entropy measure of probabilistic hesitant fuzzy information and its application in game decision making [J]. | JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY , 2025 . |
| MLA | Yang, Jie 等. "A comprehensive entropy measure of probabilistic hesitant fuzzy information and its application in game decision making" . | JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY (2025) . |
| APA | Yang, Jie , Wang, Haolin , Lai, Libang . A comprehensive entropy measure of probabilistic hesitant fuzzy information and its application in game decision making . | JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY , 2025 . |
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现实经济活动中，采购主体往往倾向于与其他采购者（局中人）联合采购以降低采购成本。随着采购参与主体的不断增加，形成更大的联盟，此过程体现出联盟结构的层级性。针对联合采购联盟具有的层级联盟特征，同时考虑现实采购中的需求不确定性，研究此类联合采购成本分摊问题，以为各采购主体的策略选择提供理论依据和方法支持。由于模糊数的逆运算问题，本文定义了单调性联盟条件，将其应用于层级联盟结构合作博弈τ值中，构建层级联盟结构区间值合作博弈τ值模型，并对其有效性和科学性进行了公理化证明。此外，通过一个医药联合采购实例表明了该模型的有效性和实用性。研究表明：联盟程度越紧密，联合采购所节约的成本越多，成员可通过成为关键局中人增强自身讨价还价的话语权，以节约更多采购成本。
Keyword ：
τ值 τ值 层级联盟结构 层级联盟结构 成本分摊 成本分摊 联合采购 联合采购 需求不确定 需求不确定
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| GB/T 7714 | 杨洁 , 张欣 , 李登峰 . 考虑层级联盟的需求不确定联合采购成本分摊策略研究 [J]. | 中国管理科学 , 2025 , 33 (02) : 195-206 . |
| MLA | 杨洁 等. "考虑层级联盟的需求不确定联合采购成本分摊策略研究" . | 中国管理科学 33 . 02 (2025) : 195-206 . |
| APA | 杨洁 , 张欣 , 李登峰 . 考虑层级联盟的需求不确定联合采购成本分摊策略研究 . | 中国管理科学 , 2025 , 33 (02) , 195-206 . |
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在现实结盟情境中普遍存在信息残缺现象,而局中人的嫉妒情绪会因不能有效判断收益差距表现得更为明显并影响联盟稳定.针对此问题，本文进行了嫉妒双参考点下的信息残缺合作博弈及其收益分配方法的研究.首先,将局中人可能获得的最大和最小收益值定义为预期收益双参考点,并进一步分析嫉妒情绪对双参考点的影响.其次,基于各局中人追求最大化自身分配值的自利心理,构造了分配值与嫉妒双参考点偏差平方和的数学优化模型,并论证了模型最优解的存在性和相关性质.最后,将提出的残缺合作博弈模型应用于部分信息残缺的跨行政区流域联合开发的收益分配问题,对比分析了该模型有效性和可行性.研究表明嫉妒情绪会对局中人产生不同影响且对联盟产生负面影响.
Keyword ：
个人嫉妒 个人嫉妒 信息残缺 信息残缺 双参考点 双参考点 合作博弈 合作博弈 收益分配 收益分配
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| GB/T 7714 | 杨洁 , 赖心如 , 南江霞 et al. 嫉妒双参考点下信息残缺合作博弈解及其应用研究 [J]. | 系统工程理论与实践 , 2025 : 0 . |
| MLA | 杨洁 et al. "嫉妒双参考点下信息残缺合作博弈解及其应用研究" . | 系统工程理论与实践 (2025) : 0 . |
| APA | 杨洁 , 赖心如 , 南江霞 , 郑智文 . 嫉妒双参考点下信息残缺合作博弈解及其应用研究 . | 系统工程理论与实践 , 2025 , 0 . |
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现实中存在多层级联盟结构以及子联盟具有结盟优先关系的合作博弈情形，如跨界流域合作治理中同时具有省-市-县-乡多级“行政纵向”管辖特征和“优先关键地域”治理要求。本文将经典的核心定义推广到层级结构中，并通过引入优先因子表示联盟优先级，建立具有优先结盟的多层级联盟结构合作博弈目标规划模型，用于解决跨界流域治理中的成本分摊及补偿问题。此外，论证了构建的具有优先结盟的多层级联盟结构合作博弈目标规划解与核心之间存在的对应关系、具有优先结盟的多层级联盟结构合作博弈目标规划解是单层级联盟结构合作博弈目标规划解的一般化拓展、具有优先结盟是不具有优先结盟的多层级联盟结构合作博弈目标规划解的一般化拓展。研究结果表明：层级结构中的子联盟紧密程度以及子联盟的优先结盟关系都对成本分摊结果有着重要影响，更紧密的子联盟、更高优先级的优先结盟能够节省更多的成本。
Keyword ：
优先结盟 优先结盟 合作博弈 合作博弈 层级结构 层级结构 流域治理 流域治理 目标规划 目标规划
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| GB/T 7714 | 杨洁 , 戴幼玲 , 赖礼邦 et al. 具有优先结盟的多层级联盟结构合作博弈及其在跨界流域治理中的应用 [J]. | 中国管理科学 , 2024 , 32 (12) : 300-311 . |
| MLA | 杨洁 et al. "具有优先结盟的多层级联盟结构合作博弈及其在跨界流域治理中的应用" . | 中国管理科学 32 . 12 (2024) : 300-311 . |
| APA | 杨洁 , 戴幼玲 , 赖礼邦 , 李登峰 . 具有优先结盟的多层级联盟结构合作博弈及其在跨界流域治理中的应用 . | 中国管理科学 , 2024 , 32 (12) , 300-311 . |
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双碳背景下,为促进供应链企业绿色转型,研究企业碳减排决策过程中的策略选择以及联盟收益分配并存的交互决策问题具有重要意义.考虑联盟结构对联盟收益分配的影响,以具有限制结盟的三级绿色供应链为研究对象,采用非合作-合作两型博弈方法分析供应链碳减排决策所涉及的策略选择问题和收益分配问题.首先,对限制结盟供应链碳减排决策非合作-合作两型博弈问题进行描述.其次,构建基于平均树解(average tree solution,简称A-T解)的限制结盟供应链碳减排决策非合作-合作两型博弈模型,并证明其解的存在条件及性质.最后,通过数值实例表明所提出限制结盟非合作-合作两型博弈求解方法的有效性和实用性,并对比了合作博弈阶段应用A-T解与Shapley值于限制结盟情形的收益分配情况.
Keyword ：
低碳决策 低碳决策 收益分配 收益分配 绿色供应链 绿色供应链 限制结盟 限制结盟 非合作-合作两型博弈 非合作-合作两型博弈
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| GB/T 7714 | 杨洁 , 曾子豪 , 吴林炜 et al. 限制交流结构下供应链碳减排策略的非合作-合作两型博弈研究 [J]. | 系统工程理论与实践 , 2023 , 43 (10) : 2928-2940 . |
| MLA | 杨洁 et al. "限制交流结构下供应链碳减排策略的非合作-合作两型博弈研究" . | 系统工程理论与实践 43 . 10 (2023) : 2928-2940 . |
| APA | 杨洁 , 曾子豪 , 吴林炜 , 李登峰 . 限制交流结构下供应链碳减排策略的非合作-合作两型博弈研究 . | 系统工程理论与实践 , 2023 , 43 (10) , 2928-2940 . |
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Profit allocation is a decision-making process, and noncooperative-cooperative biform game can effectively depict the real competitive-cooperative relationship. This paper aims to construct an effective Shapley function of biform game in hesitant fuzzy linguistic environment, which can reasonably analyze the formation and the distribution of profits by taking into account the individual hesitation and information fuzziness. Firstly, we propose a new construction method of an entropy for hesitant fuzzy linguistic term sets (HFLTSs). This entropy measure can describe the linguistic information from the aspects of fuzziness and hesitation, which improves the flaws of the existing entropy for HFLTSs. After that, a function for calculating confidence level is defined based on comprehensive entropy. Then in order to study the profit allocation in a competitive-cooperative environ-ment, we define hesitant fuzzy linguistic biform game and its characteristic function, and the effectiveness of the proposed Shapley value function according to an axiomatic system is proved. Finally, the feasibility of this approach is indicated by an example of profit allocation of cooperation in watershed management considering information asymmetry.
Keyword ：
Biform game Biform game Comprehensive entropy Comprehensive entropy Hesitant entropy Hesitant entropy Hesitant fuzzy linguistic term set Hesitant fuzzy linguistic term set Shapley function Shapley function
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| GB/T 7714 | Yang, Jie , Cai, Zhikun , Fu, Qingxia et al. The Shapley value based on hesitant fuzzy linguistic comprehensive entropy and its application in noncooperative-cooperative biform game [J]. | EXPERT SYSTEMS WITH APPLICATIONS , 2023 , 230 . |
| MLA | Yang, Jie et al. "The Shapley value based on hesitant fuzzy linguistic comprehensive entropy and its application in noncooperative-cooperative biform game" . | EXPERT SYSTEMS WITH APPLICATIONS 230 (2023) . |
| APA | Yang, Jie , Cai, Zhikun , Fu, Qingxia , Xu, Zeshui . The Shapley value based on hesitant fuzzy linguistic comprehensive entropy and its application in noncooperative-cooperative biform game . | EXPERT SYSTEMS WITH APPLICATIONS , 2023 , 230 . |
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This paper develops a zero-sum matrix game-based methodology for multi-attribute decision making (MADM) problems, where the attribute information is described by the probabilistic triangular intuitionistic hesitant fuzzy set (PTIHFS), and their weights are unknown. Firstly, we propose a new comprehensive rank method to measure PTIHFSs based on the concepts of the centroid value and the ambiguity value. Then, in order to obtain the rational attribute weights strategies (solutions) with DM's preferences/parameters, the transformed parameterized PTIHFS bilinear programming models are proposed for the zero-sum matrix. Next, the alternatives are sorted by the aggregation scores of each alternative with different parameters. Finally, we apply the zero-sum matrix game-based models and approach in a carrying capacity evaluation, the feasibility and superiority are demonstrated by comparing them with other methods. The proposed simple measure method of PTIHFSs, and it is used for interactive decision-making, which can much significantly promote the application of MADM.
Keyword ：
Fuzzy matrix game Fuzzy matrix game Fuzzy measure Fuzzy measure Fuzzy multi-attribute decision making Fuzzy multi-attribute decision making hesitant fuzzy set (PTIHFS) hesitant fuzzy set (PTIHFS) Parameterized linear programming Parameterized linear programming Probabilistic triangular-valued intuitionistic  Probabilistic triangular-valued intuitionistic  Weight unknown Weight unknown
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| GB/T 7714 | Yang, Jie , Xu, Zeshui . Matrix game-based approach for MADM with probabilistic triangular intuitionistic hesitant fuzzy information and its application [J]. | COMPUTERS & INDUSTRIAL ENGINEERING , 2022 , 163 . |
| MLA | Yang, Jie et al. "Matrix game-based approach for MADM with probabilistic triangular intuitionistic hesitant fuzzy information and its application" . | COMPUTERS & INDUSTRIAL ENGINEERING 163 (2022) . |
| APA | Yang, Jie , Xu, Zeshui . Matrix game-based approach for MADM with probabilistic triangular intuitionistic hesitant fuzzy information and its application . | COMPUTERS & INDUSTRIAL ENGINEERING , 2022 , 163 . |
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Profit allocation is a decision-making process, and noncooperative-cooperative biform game can effectively depict the real competitive-cooperative relationship. This paper aims to construct an effective Shapley function of biform game in hesitant fuzzy linguistic environment, which can reasonably analyze the formation and the distribution of profits by taking into account the hesitation and fuzziness of players. Firstly, we propose a new construction method of an entropy for hesitant fuzzy linguistic term sets (HFLTSs). This entropy measure can describe the linguistic information from the aspects of fuzziness and hesitation, which improves the flaws of the existing entropy for HFLTSs. After that, a function for calculating confidence level is defined based on comprehensive entropy. Then in order to study the profit allocation in a competitive-cooperative environment, we define hesitant fuzzy linguistic biform game and its characteristic function, and the effectiveness of the proposed Shapley value function according to an axiomatic system is proved. Finally, the feasibility of this approach is indicated by an example of profit allocation of cooperation in watershed management considering information asymmetry. © 2022, The Authors. All rights reserved.
Keyword ：
Decision making Decision making Entropy Entropy Fuzzy set theory Fuzzy set theory Fuzzy systems Fuzzy systems Game theory Game theory Profitability Profitability Water conservation Water conservation Water management Water management
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| GB/T 7714 | Yang, Jie , Cai, Zhikun , Fu, Qingxia et al. The Shapley Value Based on Hesitant Fuzzy Linguistic Comprehensive Entropy and its Application in Noncooperative-Cooperative Biform Game [J]. | SSRN , 2022 . |
| MLA | Yang, Jie et al. "The Shapley Value Based on Hesitant Fuzzy Linguistic Comprehensive Entropy and its Application in Noncooperative-Cooperative Biform Game" . | SSRN (2022) . |
| APA | Yang, Jie , Cai, Zhikun , Fu, Qingxia , Xu, Zeshui . The Shapley Value Based on Hesitant Fuzzy Linguistic Comprehensive Entropy and its Application in Noncooperative-Cooperative Biform Game . | SSRN , 2022 . |
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针对市场需求存在不确定性，企业难以确定联合采购所节约成本（收益）的分配，基于合作博弈分析联合采购的合作收益分配问题，通过将模糊数及其λ截集引入合作博弈，提出模糊支付合作博弈τ值进行需求不确定环境下各采购局中人的分配收益；首先，对需求不确定联合采购的本质进行分析。其次，通过介绍经典合作博弈τ值、模糊数及其λ截集概念，构建相应的模糊支付合作博弈τ值模型，提出收益为模糊数的联合采购收益分配方案，进而通过公理化体系证明模糊支付合作博弈τ值的性质。最后，通过医药联合采购问题案例应用分析与三种方法对比，证明了提出模型与方法的有效性与实用性。
Keyword ：
τ值 τ值 合作博弈 合作博弈 收益分配 收益分配 联合采购 联合采购 需求不确定 需求不确定
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| GB/T 7714 | 张欣 , 杨洁 , 曾子豪 . 需求不确定下联合采购收益分配的合作博弈τ值策略 [J]. | 三明学院学报 , 2022 , 39 (06) : 26-38 . |
| MLA | 张欣 et al. "需求不确定下联合采购收益分配的合作博弈τ值策略" . | 三明学院学报 39 . 06 (2022) : 26-38 . |
| APA | 张欣 , 杨洁 , 曾子豪 . 需求不确定下联合采购收益分配的合作博弈τ值策略 . | 三明学院学报 , 2022 , 39 (06) , 26-38 . |
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