Loss Function Information Fusion and Decision Rule Deduction of Three-Way Decision by Constructing Interval-Valued $q$-Rung Orthopair Fuzzy Integral
| Autor: | Wanting Tang, Decui Liang, Zeshui Xu, Yuanyuan Fu |
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| Rok vydání: | 2022 |
| Předmět: |
Mathematical optimization
Computer science Applied Mathematics Fuzzy set Interval (mathematics) Function (mathematics) Decision rule Fuzzy logic Equivalence class (music) Constraint (information theory) Computational Theory and Mathematics Artificial Intelligence Control and Systems Engineering Information system |
| Zdroj: | IEEE Transactions on Fuzzy Systems. 30:3645-3660 |
| ISSN: | 1941-0034 1063-6706 |
| Popis: | Three-way decision is consistent with human cognitive processes and applied to different information systems. However, since the real world is more imprecision, hesitation and ambiguity, experts can select interval fuzzy information to represent their evaluations. In the evaluation process, experts sometimes may not guarantee the interval fuzzy information satisfy the constraint between membership and non-membership and further impact make decisions. Interval-valued q-rung Orthopair fuzzy set (IVq-ROFS) are proposed to improve the fault-tolerant ability and ensure the experts' evaluation make sense. In this case, this paper generalizes IVq-ROFS to three-way decision, which consists of the construction of three-way decision and the aggregation of interval continuity of IVq-ROFS. For considering the aggregation of interval continuity of IVq-ROFS, we firstly investigate the IVq-ROFS integral to aggregate continuous IVq-ROFSs by developing simplified interval-valued q-rung Orthopair fuzzy set (SIVq-ROFS). Particularly, in order to obtain integrable region, we design $\varepsilon$ -amendment to amend integral region of IVq-ROFS for removing unmeaning point in advance. To simplify the calculation, we further utilize Taylor series of the integral function to replace the complicated integral function. Secondly, a new equivalence class method is constructed to support three-way decision. Thirdly, with the aid of the integral of IVq-ROFS and equivalence class method, we availably fuse the loss functions of the equivalence class and obtain the classifying rules of three-way decision by comparing the expected losses. Finally, we elaborate three-way decision by using a case of medical diagnosis about nephropathy and prove the validity of the investigated model. |
| Databáze: | OpenAIRE |
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