Computer Science ›› 2024, Vol. 51 ›› Issue (8): 83-96.doi: 10.11896/jsjkx.230600185

• Database & Big Data & Data Science • Previous Articles     Next Articles

Multi-granularity Intuitive Fuzzy Rough Set Model Based on θ Operator

ZHENG Yu, XUE Zhan’ao, LYU Mingming, XU Jiucheng   

  1. College of Computer and Information Engineering,Henan Normal University,Xinxiang,Henan 453000,China
    Engineering Lab of Intelligence Business & Internet of Things,Xinxiang,Henan 453000,China
  • Received:2023-06-23 Revised:2023-11-19 Online:2024-08-15 Published:2024-08-13
  • About author:ZHENG Yu,born in 1997,master.His main research interests include multi-granularity rough set,fuzzy set,intuitional fuzzy set and so on.
    XUE Zhan’ao,born in 1963,Ph.D,professor.His main research interests includeartificial intelligence,fuzzy set,rough set and so on.
  • Supported by:
    National Science Foundation of China(61976082,62076089,62002103),Key Science and Technology Program of Henan Province,China(182102210078,232102210077) and Key Research Projects of Higher Education Institutions in Henan Province,China(24A520019).

Abstract: In order to solve the problem that it is difficult for decision makers to make accurate judgment when multiple attributes conflict with each other in the multi-attribute decision making.In the intuitive fuzzy approximation space,this paper firstly uses the membership degree,non-membership degree and fuzzy implication operator of intuitive fuzzy set,and proposes the concepts of membership degree and non-membership degree based on θ operator and θ* operator,and proves a series of properties of them.Then,in the intuitive fuzzy set and the multi-granularity rough set,the pessimistic and optimistic models of theintuitive fuzzy rough set based on θ operator are defined,and the related properties of the two models are discussed.Finally,a multi-attribute decision algorithm based on the multi-granularity intuitive fuzzy rough set model based on θ operator is presented.The evaluation of talents introduced by universities and the evaluation of businesses in the green economy supply chain of enterprises are analyzed as examples.The correctness of the proposed method is proved by comparing the results of the optimistic and pessimistic models with those of the existing methods.The effectiveness of the model algorithm is also verified.

Key words: Rough set, Intuitive fuzzy set, Implication operator, Multi-granularity, Multi-attribute decision-making

CLC Number: 

  • TP181
[1]ZADEH L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353.
[2]ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
[3]PAWLAK Z.Rough sets[J].International Journal of Computer and Information Sciences,1982,11(5):341- 356.
[4]QIAN Y H,LIANG J Y,YAO Y Y,et al.MGRS:A multi-gran-ulation rough set[J].Information Sciences,2010,180(6):949-970.
[5]QIAN Y H,LIANG J Y,WEI Z W,et al.Information granularity in fuzzy binary GrC model[J].IEEE Transactions on Fuzzy Systems,2010,19(2):253-264.
[6]QIAN Y H,LI F,LIANG J Y,et al.Space structure and clustering of categorical data[J].IEEE Transactions on Neural Networks and Learning Systems,2015,27(10):2047-2059.
[7]WAN S P,WANG F,DONG J Y.A Preference degree for intui-tionistic fuzzy values and application to multi-attribute group decision making[J].Information Sciences,2016,370:127-146.
[8]ZHANG Q,LIU J P,YANG F,et al.Subjective weight determination method of evaluation index based on intuitionistic fuzzy set theory[C]//2022 34th Chinese Control and Decision Confe-rence(CCDC).IEEE,2022:2858-2861.
[9]DWIVEDI A K,KALIYAPERUMAL SUBRAMANIAN U,KURUVILLA J,et al.Time-series data prediction problem ana-lysis through multilayered intuitionistic fuzzy sets[J].Soft Computing,2023,27(3):1663-1671.
[10]WANG W J,ZHAN J M,MI J S.A three-way decision approach with probabilistic dominance relations under intuitionistic fuzzy information[J].Information Sciences,2022,582:114-145.
[11]WU W Z,ZHOU L.On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations[J].Soft Computing,2011,15:1183-1194.
[12]Al-SHAMI T M,MHEMDI A.Approximation operators andaccuracy measures of rough sets from an infra-topology view[J].Soft Computing,2023,27(3):1317-1330.
[13]ZHANG B,ZHOU C J,YAO W.Upper rough approximationoperators of quantale-valued similarities related to fuzzy orde-rings[J].Journal of Intelligent & Fuzzy Systems,2023,44(2):1-10.
[14]REDDY A J,TRIPATHY B K.Topological properties of multigranular rough sets on intuitionistic fuzzy approximation spaces[J].International Journal of Intelligent Enterprise,2021,8(1):1-17.
[15]MENG Z H,WANG L L,ZHANG H,et al.Improved scorefunction based on intuitionistic fuzzy numbers and its application in multi-attribute decision-making[J].Fuzzy Systems and Mathe-matics,2022,36(1):130-143.
[16]XUE Z A,YAO S Q,JING M M,et al.Research on uncertainty measurement methods for probabilistic rough intuitionistic fuzzy sets[J].Fuzzy systems and Mathematics,2022,36(1):130-143.
[17]GU X B,WU Q H,MA Y.Risk assessment of the rockburst intensity in a hydraulic tunnel using an intuitionistic fuzzy sets-TOPSIS model[J].Advances in Materials Science and Enginee-ring,2022,2022(1):1-14.
[18]XUE Y,DENG Y.Entailment for intuitionistic fuzzy sets based on generalized belief structures[J].International Journal of Intelligent Systems,2020,35(6):963-982.
[19]DHIVYA J,MEENA K,SAROJA M N.A new technique for solving picture fuzzy differential equation[J].Journal of Phy-sics:Conference Series,2021,2070(1):1-10.
[20]KUMAR D,VERMA H,MEHRA A,et al.A modified in-tuitionistic fuzzy c-means clustering approach to segment human brain MRI image[J].Multimedia Tools and Applications,2019,78(10):12663-12687.
[21]YANG X,LOUA M A,WU M,et al.Multi-granularity stockprediction with sequential three-way decisions[J].Information Sciences,2023,621:524-544.
[22]LI S,YANG J,WANG G,et al.Multi-granularity distancemeasure for interval-valued intuitionistic fuzzy concepts[J].Information Sciences,2021,570:599-622.
[23]ZHANG X H,SHANG J Y,WANG J Q.Multi-granulationfuzzy rough sets based on overlap functions with a new approach to MAGDM[J].Information Sciences,2023,622:536-559.
[24]ZHOU Z H,CAO G C.Neural Networks and Applications[M].Beijing:Tsinghua University publishing house co.,ltd,2004.
[25]LEI Y J,LU Y L,FAN L,et al.Intuitionistic Fuzzy Rough Set Theory and Its Applications[M].Beijing:Science Press,2013.
[26]ATANASSOV K T.More on intuitionistic fuzzy sets [J].Fuzzy Sets and Systems,1989,33(1):37-45.
[27]LIANG D C,LIU D.Deriving three-way decisions from in-tuitionistic fuzzy decision-theoretic rough sets [J].Information Sciences,2015,300:28-48.
[28]XU Z S.Intuitionistic fuzzy aggregation operators[J].IEEETransactions on fuzzy systems,2007,15(6):1179-1187.
[29]ZHAN J M,SUN B Z,ALCANTUD J C R.Covering based multigranulation(I,T)-fuzzy rough set models and applications in multi-attribute group decision-making [J].Information Sciences,2019,476:290-318.
[30]YU D J.Intuitionistic fuzzy prioritized operators and their application in multi-criteria group decision making[J].Technological and Economic Development of Economy,2013,19(1):1-21.
[31]XU Z S.Uncertain multi-attribute decision-making method and its application[M].Beijing:Tsinghua University Publishing House Co.,Ltd,2004.
[32]LIU L,ZHU Q Y,XIA L.Research on Emergency MaterialSupplier Selection Based on Improved AHP-IFHPWA Aggregation Operator in Fuzzy Environment[J].Logistics Sci-Tech,2022,45(5):20-26.
[33]LV W D,GUO M.Research on the financial risk evaluation of listed companies with intuitionistic fuzzy information[J].Journal of Intelligent & Fuzzy Systems,2017,32(6):4379-4387.
[34]ZHANG S S,GAO H,WEI G W,et al.Grey relational analysismethod based on cumulative prospect theory for intuitionistic fuzzy multi-attribute group decision making[J].Journal of Intelligent & Fuzzy Systems,2021,41(2):3783-3795.
[35]ZENG S,CHEN S M,KUO L W.Multiattribute decision ma-king based on novel score function of intuitionistic fuzzy values and modified VIKOR method[J].Information Sciences,2019,488:76-92.
[1] SUN Lin, MA Tianjiao. Multilabel Feature Selection Based on Fisher Score with Center Shift and Neighborhood IntuitionisticFuzzy Entropy [J]. Computer Science, 2024, 51(7): 96-107.
[2] LIAO Junshuang, TAN Qinhong. DETR with Multi-granularity Spatial Attention and Spatial Prior Supervision [J]. Computer Science, 2024, 51(6): 239-246.
[3] YANG Ye, WU Weizhi, ZHANG Jiaru. Optimal Scale Selection and Rule Acquisition in Inconsistent Generalized Decision Multi-scale Ordered Information Systems [J]. Computer Science, 2023, 50(6): 131-141.
[4] YANG Jie, KUANG Juncheng, WANG Guoyin, LIU Qun. Cost-sensitive Multigranulation Approximation of Neighborhood Rough Fuzzy Sets [J]. Computer Science, 2023, 50(5): 137-145.
[5] ZHANG Hu, ZHANG Guangjun. Document-level Event Extraction Based on Multi-granularity Entity Heterogeneous Graph [J]. Computer Science, 2023, 50(5): 255-261.
[6] LIU Songyue, WANG Huan. Leaf Classification and Ranking Method Based on Multi-granularity Feature Fusion [J]. Computer Science, 2023, 50(3): 216-222.
[7] QIN Futong, YUAN Xuejun, ZHOU Chao, FAN Yongwen. Grey Evaluation Method of Network Security Grade Based on Comprehensive Weighting [J]. Computer Science, 2023, 50(11A): 230300144-6.
[8] XU Fang, MIAO Duoqian, ZHANG Hongyun. Transformer Object Detection Algorithm Based on Multi-granularity [J]. Computer Science, 2023, 50(11): 143-150.
[9] CAO Dongtao, SHU Wenhao, QIAN Jin. Feature Selection Algorithm Based on Rough Set and Density Peak Clustering [J]. Computer Science, 2023, 50(10): 37-47.
[10] LI Teng, LI Deyu, ZHAI Yanhui, ZHANG Shaoxia. Optimal Granularity Selection and Attribute Reduction in Meso-granularity Space [J]. Computer Science, 2023, 50(10): 71-79.
[11] DENG Ruhan, ZHANG Qinghua, HUANG Shuaishuai, GAO Man. Novel Graph Convolutional Network Based on Multi-granularity Feature Fusion for Aspect-basedSentiment Analysis [J]. Computer Science, 2023, 50(10): 80-87.
[12] QIN Qi-qi, ZHANG Yue-qin, WANG Run-ze, ZHANG Ze-hua. Hierarchical Granulation Recommendation Method Based on Knowledge Graph [J]. Computer Science, 2022, 49(8): 64-69.
[13] CHENG Fu-hao, XU Tai-hua, CHEN Jian-jun, SONG Jing-jing, YANG Xi-bei. Strongly Connected Components Mining Algorithm Based on k-step Search of Vertex Granule and Rough Set Theory [J]. Computer Science, 2022, 49(8): 97-107.
[14] ZHANG Yuan, KANG Le, GONG Zhao-hui, ZHANG Zhi-hong. Related Transaction Behavior Detection in Futures Market Based on Bi-LSTM [J]. Computer Science, 2022, 49(7): 31-39.
[15] XU Si-yu, QIN Ke-yun. Topological Properties of Fuzzy Rough Sets Based on Residuated Lattices [J]. Computer Science, 2022, 49(6A): 140-143.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!