模糊系统与数学2024,Vol.38Issue(2) :136-145.

梯形模糊数最小二乘预核仁解及其在农产品合作联盟中的应用

Trapezoidal Fuzzy Number Least Square Prenucleolus Solution and Its Application in Agricultural Cooperation Coalition

白利霞 王叶佳 詹竣淦 洪丽芬 刘家财
模糊系统与数学2024,Vol.38Issue(2) :136-145.

梯形模糊数最小二乘预核仁解及其在农产品合作联盟中的应用

Trapezoidal Fuzzy Number Least Square Prenucleolus Solution and Its Application in Agricultural Cooperation Coalition

白利霞 1王叶佳 1詹竣淦 1洪丽芬 1刘家财1
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作者信息

  • 1. 福建农林大学交通与土木工程学院,福建福州 350108
  • 折叠

摘要

在农产品合作联盟中,受到信息的不对称性、环境的不确定性以及市场的波动性等因素的影响,其效用函数往往难以用精确数来表示,而梯形模糊数可以很好地表达上述模糊不确定性.在模糊合作博弈理论的基本框架下,构建使联盟平方超量的方差值最小的优化模型,获得其解析式,据此创建梯形模糊数最小二乘预核仁,并探讨该预核仁的重要性质.通过一个农产品合作联盟收益分配的真实算例,验证本文提出的模糊合作博弈解在解决农产品合作联盟收益分配问题中的合理性及可行性.

Abstract

In the agricultural cooperation coalition,due to the influence of information asymmetry,environmental un-certainty and market volatility,its utility function is often difficult to be expressed by precise numbers,while trape-zoidal fuzzy numbers can well express the above fuzzy uncertainty.Under the basic framework of fuzzy cooperative game theory,an optimization model is constructed to minimize the variance of the quadratic excess of the coalition,and its analytical formula is obtained.Based on this,a trapezoidal fuzzy number least squares prenucleolus is created,and the important properties of the prenucleolus are discussed.Through a real example of profit distribution of agri-cultural cooperative coalition,the rationality and feasibility of the fuzzy cooperative game solution proposed in this pa-per in solving the profit distribution problem of agricultural cooperative coalition are verified.

关键词

合作博弈/收益分配/梯形模糊数/最小二乘解/农产品供应链

Key words

cooperative game/profit allocation/trapezoidal fuzzy number/the least square value/supply chain of the agri-cultural products

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基金项目

福建省科技厅引导性项目(2021N0007)

福建省社会科学基金重点项目(FJ2021A020)

国家社会科学基金一般项目(22BGL005)

出版年

2024
模糊系统与数学
国防科技大学理学院

模糊系统与数学

CSTPCD北大核心
影响因子:0.42
ISSN:1001-7402
参考文献量4
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