T球面概率犹豫模糊集及在绿色创业企业绩效评估中的应用  

T-Spherical Probability Hesitation Fuzzy Set and Its Application in Green Entrepreneurship Project Performance Evaluation

作　　者：岳征良 李北伟[1] 刘洪涛 YUE Zhengliang;LI Beiwei;LIU Hongtao(School of Business and Management,Jilin University,Changchun 130012,China;Affairs Office,Zhuhai University of Science and Technology,Zhuhai 519041,Guangdong,China;Business School,Xuzhou Institute of Engineering,Xuzhou 221018,Jiangsu,China)

机构地区：[1]吉林大学商学与管理学院,长春130012 [2]珠海科技学院教务处,广东珠海519041 [3]徐州工程学院商学院,江苏徐州221018

出　　处：《系统管理学报》2023年第5期889-900,共12页Journal of Systems & Management

基　　金：教育部人文社科青年基金资助项目(20YJC630206);广东省重点领域专项基金资助项目(2021ZDZX3013)。

摘　　要：基于T-球面模糊集(T-Spherical Fuzzy Sets,T-SFSs)和概率犹豫模糊集(Probabilistic Hesitant Fuzzy Sets,PHFSs)的性质,首先融合两者优点提出T-球面概率犹豫模糊集(T-Spherical Probabilistic Hesitant Fuzzy Sets,T-SPHFSs)概念,其能更准确地表达数据的模糊性和不确定性;然后,给出T-SPHFSs的运算法则和性质,提出T-球面概率犹豫模糊加权平均(T-Spherical Probabilistic Hesitant Fuzzy Weighted Averaging,T-SPHFWA)算子和T-球面概率犹豫模糊加权几何(T-Spherical Probabilistic Hesitant Fuzzy Weighted Geometric,T-SPHFWG)算子,并研究它们的幂等性、置换不变性、有界性和单调性等性质;最后,针对决策信息为T-球面概率犹豫模糊数的多属性决策问题,基于T-SPHFWA算子和T-SPHFWG算子构建多属性决策模型,通过绿色创业企业绩效评估算例证明决策方法的有效性与可行性。Based on the properties and advantages of t-spherical fuzzy sets(T-SFSs)and probability hesitant fuzzy sets(PHFSs),First,the concept of t-spherical probability hesitant fuzzy sets(T-SPFSs)is proposed,which can more accurately express the fuzziness and uncertainty of data.Then,the algorithm and properties of T-SPFSs are given.T-spherical probabilistic hesitant fuzzy weighted averaging(TSPHFWA)operator and t-spherical probabilistic hesitant fuzzy weighted geometric(T-SPHFWG)operator are proposed and their properties are studied,including idempotency,commutativity,boundedness,and monotonicity.Finally,for solving the multi-attribute decision-making problem where the decision information is t-spherical probability hesitation fuzzy number(T-SPHFN),a multi-attribute decision-making model is constructed based on T-SPHFWA operator and T-SPHFWG operator.A green entrepreneurship project performance evaluation is to illustrate the feasibility and rationality of the proposed approaches method.

关 键 词：T-球面概率犹豫模糊集 T-球面概率犹豫模糊加权平均算子 T-球面概率犹豫模糊加权几何算子 绿色创业企业绩效评估 

分 类 号：C934[经济管理—管理学]