系统管理学报

系统管理学报 ›› 2023, Vol. 32 ›› Issue (5): 889-900.DOI: 10.3969/j.issn.1005-2542.2023.05.003

• 决策科学与运营管理 • 上一篇    下一篇

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

岳征良1,2，李北伟1，刘洪涛3   

  1. 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
  • 收稿日期:2022-07-08 修回日期:2022-11-28 出版日期:2023-09-28 发布日期:2023-09-28
  • 作者简介:岳征良（1977-），男，博士生。研究方向为创新创业管理。
  • 基金资助:

    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）

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

YUE Zhengliang1,2，LI Beiwei1，LIU Hongtao3   

  1. 1.School of Business and Management，Jilin University，Changchun 130012，China；2.Affairs Office，Zhuhai University of Science and Technology，Zhuhai 519041，Guangdong，China；3.Business School，Xuzhou Institute of Engineering，Xuzhou 221018，Jiangsu，China
  • Received:2022-07-08 Revised:2022-11-28 Online:2023-09-28 Published:2023-09-28

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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。

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

Abstract:

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 (T-SPHFWA) 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.

Key words: T-spherical probabilistic hesitant fuzzy sets (T-SPHFSs), T-spherical probabilistic hesitant fuzzy weighted averaging (T-SPHFWA) operator, T-spherical probabilistic hesitant fuzzy weighted geometric (T-SPHFWG) operator, green entrepreneurship project performance evaluation

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