JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (1): 101-110.doi: 10.6040/j.issn.1671-9352.4.2023.0181

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Generalized interval-valued q-rung orthopair hesitant fuzzy soft sets and their multi-attribute decision making

WU Wei1,2, ZHANG Xianyong1,2*, YANG Jilin2,3   

  1. 1. School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, Sichuan, China;
    2. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu 610066, Sichuan, China;
    3. College of Computer Science, Sichuan Normal University, Chengdu 610101, Sichuan, China
  • Published:2025-01-10

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Abstract: Generalized interval-valued q-rung orthopair hesitant fuzzy soft sets(GIVq-ROHFSSs)are proposed, and their operations of union, intersection, complement, and, or are defined to gain relevant properties. Regarding GIVq-ROHFSSs, average membership and non-membership degrees associated with interval values are extracted, and correlations and correlation coefficients are defined to acquire an extended principle and several basic properties. Correlation coefficients of GIVq-ROHFSSs are adopted, and optimal sorting is performed to motivate multi-attribute decision making. The practical example of medical resources and the energy project investment case show the effectiveness of new decision method. The related modeling, measurement and decision facilitate uncertainty analysis and applications.

Key words: q-rung orthopair hesitant fuzzy sets, generalized interval-valued fuzzy soft sets, generalized interval-valued q-rung orthopair hesitant fuzzy soft sets, correlation coefficient, multi-attribute decision making

CLC Number: 

  • O159
[1] MOLODTSOV D. Soft set theory-first results[J]. Computer and Mathematics with Applications, 1999, 37:19-31.
[2] LIU Y, QIN K, MARTINEZ L. Improving decision making approaches based on fuzzy soft sets and rough soft sets[J]. Applied Soft Computing, 2018, 65:320-332.
[3] FENG F, CHO J, PEDRYCZ W, et al. Soft set based association rule mining[J]. Knowldge-based Systems, 2016, 111:268-282.
[4] FATIMAH F, ROSADI D, HAKIM R F, et al. Probabilistic soft sets and dual probabilistic soft sets in decision-making[J]. Neural Computing and Applications, 2019, 31:397-407.
[5] 路怡瑶. 新型软粗糙集:软粗糙半群[D]. 无锡: 江南大学, 2019. LU Yiyao. New soft rough sets: soft rough semigroups[D]. Wuxi: Jiangnan University, 2019.
[6] BASKARAN N, ESWARI R. Efficient VM selection strategies in cloud datacenter using fuzzy soft set[J]. Journal of Organizational and End User Computing, 2021, 33(5):153-179.
[7] 文喜. 犹豫模糊软集的综合相关系数及其应用[J]. 南昌大学学报(理科版), 2018, 42(6):541-547. WEN Xi. Comprehensive correlation coefficient of hesitant fuzzy soft set and its application[J]. Journal of Nanchang University(Natural Science), 2018, 42(6):541-547.
[8] GARG H, ARORA R. Maclaurin symmetric mean aggregation operators based on t-norm operations for the dual hesitant fuzzy soft set[J]. Journal of Ambient Intelligence and Humanized Computing, 2020, 11(6):375-410.
[9] 江立辉,陈华友,马成芸. 广义对偶犹豫模糊软集及其在决策中的应用[J]. 运筹与管理, 2022, 31(8):109-115. JIANG Lihui, CHEN Huayou, MA Chengyun. Generalized dual hesitant fuzzy soft set and its application in decision making[J]. Operations Research and Management Science, 2022, 31(8):109-115.
[10] ULLAH K, GARG H, MAHMOOD T, et al. Correlation cofficients for T-spherical fuzzy sets and their applications in clustering and multi-attribute decision making[J]. Soft Computing, 2020, 24(3):1647-1659.
[11] MAHMOOD T, ALI Z. Entropy measure and TOPSIS method based on correlation coefficient using complex q-rung orthopair fuzzy information and its application to multi-attribute decision making[J]. Soft Computing, 2021, 25(2):1249-1275.
[12] SHARMA S, SINGH S. On some generalized correlation coefficients of the fuzzy sets and fuzzy soft sets with application in cleanliness ranking of public health centres[J]. Journal of Intelligent & Fuzzy Systems, 2019, 36(4):3671-3683.
[13] 黄先玖,汤静. 犹豫模糊软集的相关系数及其在决策中的应用[J]. 控制与决策, 2019, 34(4):821-826. HUANG Xianjiu, TANG Jing. Correlation coefficient of hesitant fuzzy soft set and its application in decision making[J]. Control and Decision, 2019, 34(4):821-826.
[14] ARORA R, GARG H. A robust correlation coefficient measure of dual hesitant fuzzy soft sets and their application in decision making[J]. Engineering Application of Artificial Intelligence, 2018, 72:80-92.
[15] YIARAYONG P. On interval-valued fuzzy soft set theory applied to semigroups[J]. Soft Computing, 2020, 24(5):3113-3123.
[16] 赵海燕,马卫民,孙秉珍,等. 考虑风险偏好的区间直觉模糊软集型多属性决策方法[J]. 计算机应用研究, 2018, 35(2):453-458. ZHAO Haiyan, MA Weiming, SUN Bingzhen, et al. Multi-attribute decision making method based on interval intuitionistic fuzzy soft set considering risk preference[J]. Application Research of Computers, 2018, 35(2):453-458.
[17] ZULQARNAIN R M, XIN X L, SAQLAIN M, et al. TOPSIS method based on the correlation of interval-valued intuitionistic fuzzy soft sets and aggregation operators with their application in decision-making[J]. Journal of Mathematics, 2021, 2021:1-16.
[18] 江立辉,马成芸,陈华友. 一类新的广义模糊软集及其在多属性决策中的应用[J]. 淮阴师范学院学报(自然科学版), 2022, 21(2):107-114. JIANG Lihui, MA Chengyun, CHEN Huayou. A new kind of generalized fuzzy soft set and its application in multi-attribute decision making [J]. Journal of Huaiyin Teachers College(Natural Science Edition), 2022, 21(2):107-114.
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