Three-way decisions based on decision-theoretic rough sets with interval type-2 fuzzy information

被引：0
|
作者：
Tang G.-L. [1 ,2 ]
Yang W.-D. [1 ,2 ]
Liu P.-D. [2 ]
机构：
[1] Institute of Marine Economy and Management, Shandong University of Finance and Economics, Ji'nan
[2] School of Management Science and Engineering, Shandong University of Finance and Economics, Ji'nan
来源：
Kongzhi yu Juece/Control and Decision | 2022年 / 37卷 / 05期
关键词：
Decision-theoretic rough sets; Grey relational analysis; Interval type-2 fuzzy sets; Three-way decisions;
D O I：
10.13195/j.kzyjc.2020.1536
中图分类号：
学科分类号：
摘要：
Considering the advantage of interval type-2 fuzzy sets (IT2FSs) in describing highly uncertain information, this paper extends IT2FSs to decision-theoretic rough sets (DTRSs), and proposes two interval type-2 fuzzy (IT2F) decision-making approaches for deriving three-way decisions. In the IT2F information system without class labels, the interpretation of loss function and the determination of conditional probability are two fundamental issues to be addressed. Based on the properties of IT2FSs, IT2FSs are firstly introduced into DTRSs, which offers a novel illustration for the loss function. Then, in light of the Bayesian decision procedure, an IT2F DTRS (IT2FDTRS) model is established. In addition, two methods are designed for deriving three-way decisions with the aid of two IT2F ranking techniques, namely, the combined ranking method and the possibility degree. Meanwhile, IT2F grey relational analysis is used to determine the conditional probability. Furthermore, two three-way decision methods are proposed based on the IT2FDTRS in the IT2F information system. The proposed approaches not only consider the decision risk, but also tell us the ranking results and objective classification results of alternatives, which can replenish the decision results of grey relational analysis. Finally, a practical example is provided to demonstrate the validity of the proposed three-way decision methods. Copyright ©2022 Control and Decision.
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页码：1347 / 1356
页数：9
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