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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (1): 111-119.doi: 10.6040/j.issn.1671-9352.0.2023.305

• • 上一篇    

直觉犹豫模糊软专家集及其在决策中的应用

郑颖春,周婉婷*   

  1. 西安科技大学理学院, 陕西 西安 710054
  • 发布日期:2025-01-10
  • 通讯作者: 周婉婷(1999— ),女,硕士研究生,研究方向粗糙集与人工智能. E-mail: 714024834@qq.com
  • 作者简介:郑颖春(1979— ),女,副教授,研究方向粗糙集与人工智能、最优化理论. E-mail: 649732352@qq.com*通信作者:周婉婷(1999— ),女,硕士研究生,研究方向粗糙集与人工智能. E-mail: 714024834@qq.com
  • 基金资助:
    国家自然科学基金资助项目(12001420)

Intuitive hesitation blur soft expert set and its application to decision making

ZHENG Yingchun, ZHOU Wanting*   

  1. School of Science, Xian University of Science and Technology, Xian 710054, Shaanxi, China
  • Published:2025-01-10

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摘要： 对直觉模糊软专家集(intuitive fuzzy soft expert set, IFSES)理论进行扩展,提出直觉犹豫模糊软专家集的概念,定义直觉犹豫模糊软专家集的基本运算并研究其一系列重要的性质,给出直觉犹豫模糊软专家集决策算法,该算法充分考虑了决策者在评估备选方案时表现出的犹豫性,并为参数集赋予相应的权重,本文将直觉犹豫模糊专家集决策算法应用于实际招聘问题中,通过得分函数计算各个候选人的综合得分,再按照得分从大到小顺序排序,得到最佳候选人。相比于其他软集决策模型,直觉犹豫模糊软专家集决策模型计算简单,准确性高。通过对比分析实验可知,直觉犹豫模糊软专家集决策算法具有更好的结合性、决策性及应用性。

关键词: 直觉犹豫模糊集, 软专家集, 直觉犹豫模糊软专家集, 决策分析

Abstract: Theory of intuitive fuzzy soft expert set(IFSES)is expanded, the concept of intuitive hesitation fuzzy soft expert set is improved. The basic operation of the fuzzy soft expert set is defined and a series of important properties is studied. The intuitive hesitation fuzzy soft expert set decision algorithm is given. In the algorithm, evaluation information to the alternative is considered based on the decision maker and weight to the parameter set is given. And the intuitive hesitation fuzzy soft expert set decision algorithm is applied to practical recruitment problems. The composite score of each candidate is calculated by the score function. The best candidate is obtained from large to small. Compared with other soft set decision models, soft expert set decision model is simple and accurate. Through comparative analysis, intuitive hesitation fuzzy soft expert set decision model has better combination, decision-making and application.

Key words: intuitive hesitation fuzzy set, soft expert set, intuitive hesitation fuzzy soft expert set, decision analysis

中图分类号: 

  • O159
[1] 郝文强,孟雪,段智慧. 动态能力视角下城市数字化转型的理论逻辑与组态路径:基于全国重点城市的模糊集定性比较分析[J].电子政务, 2023, 10(7):73-86. HAO Wenqiang, MENG Xue, DUAN Zhihui. Theoretical logic and configuration path of urban digital transformation from the perspective of dynamic capability: qualitative comparative analysis of fuzzy set based on national key cities[J]. E-Government, 2023, 10(7):73-86.
[2] IBRAHIM H Z. New extensions of fuzzy sets with applications to rough topology and medical diagnosis[J]. Soft Computing, 2022, 27(2):821-835.
[3] 曾守桢,潘燕. 基于模糊后悔理论-TODIM组合方法的众包物流平台服务质量评价研究[J]. 系统科学与数学, 2023, 43(3): 629-650. ZENG Shouzhen, PAN Yan. Research on service quality evaluation of crowd sourced logistics platform based on fuzzy regret theory-TODIM combination method[J]. Systems Science and Mathematics, 2023, 43(3):629-650.
[4] ZADEH L A. Fuzzy sets[J]. Information and Control, 1965, 8(3):338-356.
[5] 冯雪,耿生玲,李永明. 加权犹豫模糊偏好关系及其在群体决策中的应用[J]. 山东大学学报(理学版), 2023, 58(3):39-47. FENG Xue, GENG Shengling, LI Yongming. Weighted hesitation fuzzy preference relationship and its application to group decision making[J]. Journal of Shandong University(Natural Science), 2023, 58(3):39-47.
[6] KAZANCI O, DAVVAZ B. Multipolar fuzzy hyperideals in semihypergroups[J].Soft Computing, 2023, 27(19):13835-13841.
[7] ATANASSOV K T. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986, 20(1):87-96.
[8] BROUMI S, SMARANDACHE F. Intuitionistic fuzzy soft expert sets and its application in decision making[J]. Journal of New Theory, 2015, 28(1):89-105.
[9] 王金波,吴伟志. 双论域上的直觉模糊粗糙集[J]. 模糊系统与数学, 2021, 35(6):1-13. WANG Jinbo, WU Weizhi. Intuitive fuzzy rough set on bitheory domain[J]. Fuzzy System and Mathematics, 2021,35(6): 1-13.
[10] TORRA V. Hesitant fuzzy sets[J]. International Journal of Intelligent Systems, 2010, 25(6):529-539.
[11] XIAO Huimin, WANG Meiqi. Research on hesitant fuzzy matroid based on satisfaction function[J]. Journal of Intelligent & Fuzzy Systems, 2021, 41(6):7387-7396.
[12] 华维灿,孙刚,王贵君. 基于概率犹豫模糊相似度的交互式群体决策方法[J]. 浙江大学学报(理学版),2022,49(4):398-407. HUA Weican, SUN Gang, WANG Gungui. Interactive group decision method based on probabilistic hesitation fuzzy similarity[J]. Journal of Zhejiang University(Science edition), 2022, 49(4):398-407.
[13] MAJI P K. Soft set theory[J]. Computers & Mathematics with Applications, 2003, 45(5):555-562.
[14] MAJI P K, BISWAS R, ROY A R. Intuitionistic fuzzy soft sets[J]. Journal of Fuzzy Mathematics, 2001, 9(3):677-692.
[15] LEINA Z, TAHIR Mahmood. Spherical fuzzy soft rough average aggregation operators and their applications to multi criteria decision making[J]. IEEE Access, 2022, 10:2169-3536.
[16] AIKHAZALEH S, SALLEHA R. Soft expert sets[J]. Advances in Decision Sciences, 2011, 2011(12):12-25.
[17] 许宏伟,刘卫锋. 区间软专家集及其应用[J]. 模糊系统与数学, 2014, 28(6):137-143. XU Hongwei, LIU Weifeng. Interval soft expert set and its application[J]. Fuzzy System and Mathematics, 2014, 28(6):137-143.
[18] AFSHAN Q, SALEEM A,MUHAMMAD A. Cubic soft expert sets and their application in decision making[J]. Journal of Intelligent & Fuzzy Systems, 2016, 31(3):1585-1596.
[19] SATHIYASEELAN N,VIJAYABALAJI S, ALCANTUD J. Symmetric matrices on inverse soft expert sets and their applications[J]. Symmetry, 2023, 15(2):313-324.
[20] ALI G, AKRAM M. Decision-making method based on fuzzy N-soft expert sets[J]. Arabian Journal for Science and Engineering, 2020, 45(3):10381-10400.
[21] AKRAM M, ALI G, ALCANTUD J. A new method of multi-attribute group decision making based on hesitant fuzzy soft expertinformation[J]. Expert Systems, 2023, 40(8):14-44.
[22] ALI G, MUHIUDDIN G. Ranking effectiveness of COVID-19 tests using fuzzy bipolar soft expert sets[J]. Mathematical Problems in Engineering, 2021, 2021(3):1-19.
[23] SMARANDACHE F. Intuitionistic fuzzy soft expert sets and its application in decision making[J]. Abstract and Applie Analysis, 2015, 2015(1):13-28.
[24] 司瑾,李洪波. 基于直觉犹豫模糊集的群体决策规则提取方法[J]. 计算机仿真, 2022, 39(1):248-251. SI Jin, LI Hongbo. Group decision rule extraction method based on intuitive hesitation fuzzy set[J]. Computer Simulation, 2022, 39(1):248-251.
[25] ZHANG Haiyan, MA Winmin. A novel decision making approach based on intuitionistic fuzzy soft sets[J]. International Journal of Machine Learning and Cybernetics, 2017(8):1107-1117.
[26] CHEN Na, XIA Zeshui. Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis[J]. Application Mathematical Modelling, 2013, 37(4):2197-2211.
[27] MUHAMMED A, AROOJ A, et al. Hesitant fuzzy N-soft sets: a new model with applications in decision-making[J]. Journal of Intelligent & Fuzzy Systems, 2019, 36(6):6113-6127.
[1] 章 玲,周德群 . λ模糊测度及其Mbius变换和关联系数间关系的推导[J]. J4, 2007, 42(7): 33-37 .
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