Decision-making model for China’s stock market bubble warning: the CoCoSo with picture fuzzy information

With the financial liberalization and globalization, China’s financial system has been deepening, the scale of the stock market has been expanding, and the stock market bubble problem has gradually emerged. The overinflated stock market bubble will undoubtedly increase the risk of the stock market, seriously threaten the stability of the financial system, and even bring disastrous consequences to the economic system. Therefore, the stock market bubble warning evaluation is very important. In the case of considering stock market bubble warning evaluation, the fundamental issues involve strong fuzziness. Picture fuzzy set, depicted by three memberships (positive membership, neutral membership and negative membership), is a more resultful means for capturing fuzziness. In this paper, the novel picture fuzzy score function is given for dealing the comparison problem. Then, the objective weights are calculated by Renyi entropy method. Meanwhile, we develop combined weights, which can reflect both subjective preference and objective preference. Moreover, the picture fuzzy decision making algorithm based on Combined Compromise Solution is presented. Finally, the feasibility of algorithm is stated by the stock market bubble warning evaluation issue. The salient features of the proposed algorithm are that they have no counter-intuitive cases and antilogarithm or division by zero issues.

[1]  Saleem Abdullah,et al.  New multicriteria group decision support systems for small hydropower plant locations selection based on intuitionistic cubic fuzzy aggregation information , 2020, Int. J. Intell. Syst..

[2]  Guiwu Wei,et al.  TODIM Method for Picture Fuzzy Multiple Attribute Decision Making , 2018, Informatica.

[3]  Gleb Beliakov,et al.  Aggregation Functions: A Guide for Practitioners , 2007, Studies in Fuzziness and Soft Computing.

[4]  Le Hoang Son,et al.  HIFCF: An effective hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis , 2015, Expert Syst. Appl..

[5]  Le Hoang Son.  Measuring analogousness in picture fuzzy sets: from picture distance measures to picture association measures , 2017, Fuzzy Optim. Decis. Mak..

[6]  D. Sornette,et al.  On the predictability of stock market bubbles: evidence from LPPLS confidence multi-scale indicators , 2018, Quantitative Finance.

[7]  Lazim Abdullah,et al.  Logarithmic Aggregation Operators of Picture Fuzzy Numbers for Multi-Attribute Decision Making Problems , 2019, Mathematics.

[8]  Madhumangal Pal,et al.  Picture fuzzy Dombi aggregation operators: Application to MADM process , 2019, Appl. Soft Comput..

[9]  Xiong Xiong,et al.  Non-Gaussian VARMA model with stochastic volatility and applications in stock market bubbles , 2019 .

[10]  Guiwu Wei,et al.  Picture fuzzy cross-entropy for multiple attribute decision making problems , 2016 .

[11]  G. Wei,et al.  The Generalized Dice Similarity Measures for Spherical Fuzzy Sets and Their Applications , 2020, Decision Making with Spherical Fuzzy Sets.

[12]  Guiwu Wei,et al.  SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS , 2018 .

[13]  Vladik Kreinovich,et al.  Picture fuzzy sets - A new concept for computational intelligence problems , 2013, 2013 Third World Congress on Information and Communication Technologies (WICT 2013).

[14]  Jianqiang Wang,et al.  Weighted picture fuzzy aggregation operators and their applications to multi-criteria decision-making problems , 2019, Comput. Ind. Eng..

[15]  Xiaoguang Yang,et al.  How to detect crashes before they burst: Evidence from Chinese stock market , 2019, Physica A: Statistical Mechanics and its Applications.

[16]  Fuad E. Alsaadi,et al.  Projection models for multiple attribute decision making with picture fuzzy information , 2016, International Journal of Machine Learning and Cybernetics.

[17]  Wei-Zhang Liang,et al.  An Integrated EDAS-ELECTRE Method With Picture Fuzzy Information for Cleaner Production Evaluation in Gold Mines , 2018, IEEE Access.

[18]  Samarjit Kar,et al.  An Approach to Rank Picture Fuzzy Numbers for Decision Making Problems , 2019, Decision Making: Applications in Management and Engineering.

[19]  Lazim Abdullah,et al.  Child Development Influence Environmental Factors Determined Using Spherical Fuzzy Distance Measures , 2019, Mathematics.

[20]  Dinh Van Nguyen,et al.  NEW DISSIMILARITY MEASURES ON PICTURE FUZZY SETS AND APPLICATIONS , 2018, Journal of Computer Science and Cybernetics.

[21]  Hu-Chen Liu,et al.  An Extended Picture Fuzzy VIKOR Approach for Sustainable Supplier Management and Its Application in the Beef Industry , 2019, Symmetry.

[22]  Florentin Smarandache,et al.  A unifying field in logics : neutrosophic logic : neutrosophy, neutrosophic set, neutrosophic probability , 2020 .

[23]  Yanbing Ju,et al.  Study of site selection of electric vehicle charging station based on extended GRP method under picture fuzzy environment , 2019, Comput. Ind. Eng..

[24]  Lianhe Yang,et al.  Model for evaluating the microdefects of textile composites with picture fuzzy information , 2019, J. Intell. Fuzzy Syst..

[25]  Harish Garg.  Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making , 2017, Arabian Journal for Science and Engineering.

[26]  Muhammad Sajjad Ali Khan,et al.  Extended topsis method based on Pythagorean cubic fuzzy multi-criteria decision making with incomplete weight information , 2020, J. Intell. Fuzzy Syst..

[27]  Sanjay Kumar,et al.  An Approach to Multi-criteria Decision Making Problems Using Dice Similarity Measure for Picture Fuzzy Sets , 2018, ICMC.

[28]  Le Hoang Son,et al.  Picture fuzzy clustering for complex data , 2016, Eng. Appl. Artif. Intell..

[29]  T. Chong,et al.  Do speculative bubbles migrate in the Chinese stock market? , 2019 .

[30]  Shouzhen Zeng,et al.  Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making , 2019, Mathematics.

[31]  Ali Karaşan,et al.  Solid Waste Disposal Site Selection by Using Neutrosophic Combined Compromise Solution Method , 2019, EUSFLAT Conf..

[32]  Saleem Abdullah,et al.  Entropy Based Pythagorean Probabilistic Hesitant Fuzzy Decision Making Technique and Its Application for Fog-Haze Factor Assessment Problem , 2020, Entropy.

[33]  Tabasam Rashid,et al.  Modeling of linear programming and extended TOPSIS in decision making problem under the framework of picture fuzzy sets , 2019, PloS one.

[34]  Jianqiang Wang,et al.  Location selection of offshore wind power station by consensus decision framework using picture fuzzy modelling , 2018, Journal of Cleaner Production.

[35]  Hui Gao,et al.  Picture fuzzy heronian mean aggregation operators in multiple attribute decision making , 2018, Int. J. Knowl. Based Intell. Eng. Syst..

[36]  Qaisar Khan,et al.  Different Approaches to Multi-Criteria Group Decision Making Problems for Picture Fuzzy Environment , 2018, Bulletin of the Brazilian Mathematical Society, New Series.

[37]  Zongxin Qian,et al.  Investment horizons, cash flow news, and the profitability of momentum and reversal strategies in the Chinese stock market , 2019, Economic Modelling.

[38]  Huchang Liao,et al.  A Hesitant Fuzzy Linguistic Combined Compromise Solution Method for Multiple Criteria Decision Making , 2019 .

[39]  Le Hoang Son,et al.  Picture fuzzy clustering: a new computational intelligence method , 2016, Soft Comput..

[40]  Le Hoang Son.  Generalized picture distance measure and applications to picture fuzzy clustering , 2016, Appl. Soft Comput..

[41]  Tahir Mahmood,et al.  Spherical fuzzy sets and their applications in multi-attribute decision making problems , 2019, J. Intell. Fuzzy Syst..

[42]  Le Hoang Son,et al.  Some novel hybrid forecast methods based on picture fuzzy clustering for weather nowcasting from satellite image sequences , 2016, Applied Intelligence.

[43]  Dragan Pamucar,et al.  Sustainability assessment of OPEC countries: Application of a multiple attribute decision making tool , 2019 .

[44]  Guiwu Wei,et al.  Picture Fuzzy Hamacher Aggregation Operators and their Application to Multiple Attribute Decision Making , 2018, Fundam. Informaticae.

[45]  Runtong Zhang,et al.  A Novel Multiattribute Decision-Making Method Based on Point–Choquet Aggregation Operators and Its Application in Supporting the Hierarchical Medical Treatment System in China , 2018, International journal of environmental research and public health.

[46]  Saleem Abdullah,et al.  Utilizing Linguistic Picture Fuzzy Aggregation Operators for Multiple-Attribute Decision-Making Problems , 2020, Int. J. Fuzzy Syst..

[47]  Shangmei Zhao,et al.  The systemic risk of China’s stock market during the crashes in 2008 and 2015 , 2019, Physica A: Statistical Mechanics and its Applications.

[48]  Harish Garg,et al.  Pythagorean fuzzy interactive Hamacher power aggregation operators for assessment of express service quality with entropy weight , 2020, Soft Computing.

[49]  Saleem Abdullah,et al.  Spherical aggregation operators and their application in multiattribute group decision‐making , 2018, Int. J. Intell. Syst..

[50]  Zixiang Ma,et al.  Expanded BSADF test in the presence of breaks in time trend – a further analysis on the recent bubble phenomenon in China’s stock market , 2019 .

[51]  Saleem Abdullah,et al.  Picture fuzzy aggregation information based on Einstein operations and their application in decision making , 2019, Mathematical Sciences.

[52]  Nguyen Xuan Thao,et al.  Evaluating Water Reuse Applications under Uncertainty: A Novel Picture Fuzzy Multi Criteria Decision Making Medthod , 2018 .

[53]  Na Li,et al.  Pythagorean fuzzy interaction power Bonferroni mean aggregation operators in multiple attribute decision making , 2020, Int. J. Intell. Syst..

[54]  Sumian Peng,et al.  Study on enterprise risk management assessment based on picture fuzzy multiple attribute decision-making method , 2017, J. Intell. Fuzzy Syst..

[55]  E. Zavadskas,et al.  A combined compromise solution (CoCoSo) method for multi-criteria decision-making problems , 2019, Management Decision.

[56]  Cun Wei,et al.  EDAS METHOD FOR MULTIPLE CRITERIA GROUP DECISION MAKING WITH PICTURE FUZZY INFORMATION AND ITS APPLICATION TO GREEN SUPPLIERS SELECTIONS , 2019, Technological and Economic Development of Economy.

[57]  Le Hoang Son.  DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets , 2015, Expert Syst. Appl..

[58]  Zeshui Xu,et al.  TODIM-based multi-criteria decision-making method with hesitant fuzzy linguistic term sets , 2019, Artificial Intelligence Review.

[59]  Pushpinder Singh,et al.  Correlation coefficients for picture fuzzy sets , 2015, J. Intell. Fuzzy Syst..

[60]  Hui Dong,et al.  Model for evaluating the enterprise marketing capability with picture fuzzy information , 2017, J. Intell. Fuzzy Syst..

[61]  Hai-Hui Huang,et al.  An integrative analysis system of gene expression using self-paced learning and SCAD-Net , 2019, Expert Syst. Appl..

[62]  Guiwu Wei,et al.  Picture fuzzy aggregation operators and their application to multiple attribute decision making , 2017, J. Intell. Fuzzy Syst..

[63]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[64]  Runtong Zhang,et al.  A method to multi-attribute decision making with picture fuzzy information based on Muirhead mean , 2019, J. Intell. Fuzzy Syst..

[65]  Juan-juan Peng,et al.  A multi-criteria decision-making framework for risk ranking of energy performance contracting project under picture fuzzy environment , 2018, Journal of Cleaner Production.

[66]  Le Wang,et al.  The differences in hotel selection among various types of travellers: A comparative analysis with a useful bounded rationality behavioural decision support model , 2020 .

[67]  Guiwu Wei,et al.  Some Cosine Similarity Measures for Picture Fuzzy Sets and Their Applications to Strategic Decision Making , 2017, Informatica.

[68]  Lin Li,et al.  Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project , 2018, Appl. Soft Comput..

[69]  Hui Liu,et al.  Models for multiple attribute decision making with picture fuzzy information , 2019, J. Intell. Fuzzy Syst..

[70]  Madhumangal Pal,et al.  Assessment of Enterprise Performance Based on Picture Fuzzy Hamacher Aggregation Operators , 2019, Symmetry.

[71]  D. Štreimikienė,et al.  Picture Fuzzy Weighted Distance Measures and their Application to Investment Selection , 2019, www.amfiteatrueconomic.ro.

[72]  Le Hoang Son,et al.  A novel automatic picture fuzzy clustering method based on particle swarm optimization and picture composite cardinality , 2016, Knowl. Based Syst..

[73]  R. Muirhead.  Some Methods applicable to Identities and Inequalities of Symmetric Algebraic Functions of n Letters , 1902 .

[74]  Shan Lu,et al.  Aggregating multiple types of complex data in stock market prediction: A model-independent framework , 2018, Knowl. Based Syst..

[75]  Jie Wang,et al.  Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk , 2018, Symmetry.