期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 27, 期 1, 页码 16-30出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2018.2853727
关键词
Evidential reasoning (ER) theory; fuzzy cognitive map (FCM); intuitionistic fuzzy sets (IFSs); system modeling
资金
- Fundamental Research Funds for the Central Universities [2018JBM013]
- National Key R&D Program of China [2017YFF0108300]
- National Natural Science Foundation of China [61473269, 61673361, 61725304, 61771002]
- Fok Ying-Tong Education Foundation for Young Teachers in Higher Education Institutions of China [161059]
- Youth Innovation Promotion Association of the Chinese Academy of Sciences
- Youth Top-Notch Talent Support Program
- Australian Research Council [DP170102644]
An intuitionistic fuzzy cognitive map (IFCM) is an extension of a fuzzy cognitive map (FCM) that forms a graph-oriented fuzzy map describing both causal relationships between pairs of concepts and the states of concepts via intuitionistic fuzzy sets (IFSs). In contrast with an FCM, an IFCM provides much more flexibility in system modeling. However, IFCMs may lead to confusing or unreasonable results in system modeling since they do not fully consider the negative influence from conventional operations on IFSs, the activation process of concepts, and the problem of aggregating knowledge with different importance levels. To solve the challenges of IFCMs, we propose a high-order IFCM based on evidential reasoning (ER) (IFCMR) theory in this study. First, we introduce an evidential intuitionistic fuzzy aggregation (EIFA) operator and a multiplication operation on IFSs using an ER theory. Second, we establish the theory of IFCMR based on the EIFA operator and the newly introduced multiplication operation on IFSs. Third, we propose a scheme of aggregating IFCMRs with different importance levels using the EIFA operator, which can also be utilized to aggregate conflict knowledge and to determine objective connections in terms of an evidential cognitive map (ECM). Finally, several numerical and practical examples are employed to test and verify the feasibility and validity of IFCMRs in comparison with both IFCMs and ECMs.
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