期刊
INFORMATION SCIENCES
卷 523, 期 -, 页码 111-132出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2020.03.013
关键词
Vague sets; Intuitionistic fuzzy sets; Fuzziness; Rough approximation space; Three-way approximation
资金
- National Key Research and Development Program of China [2017YFC0804002]
- Natural Science Foundation of China [61876201, 61772096]
- Chongqing Natural Science Foundation Innovation Group Project [cstc2019jcyj-cxttX0002]
- Chong Qing Postgraduate Scientific Research and Innovation Project [CYS18244]
- Talent Development Project of Guizhou Province [318]
Vague set, as well as intuitionistic fuzzy set, is an extended model of fuzzy sets. On the basis of fuzzy sets, vague sets describe the membership degree of a vague concept by using an interval value instead of a single value. To a certain degree, vague sets have a more powerful ability to process fuzzy information than fuzzy sets. Thus, when characterizing a target concept by vague sets, identifying methods to make scientific and reasonable decisions has become an essential issue. However, existing decision methods always focus on the decisions based on fuzzy concepts, and research on how to make three-way decisions based on vague concepts is still lacking. Therefore, in this paper, the concept of rough vague sets is proposed to construct a rough approximation framework of vague concepts. Then, the fuzziness of the existing approximation approaches is analyzed. Next, improved step-vague set model which is a better approximation approach than existing approaches and the algorithm used to search for a improved step-vague set are proposed. Furthermore, based on the improved step-vague sets, probabilistic rough vague sets and a three-way approximation model with shadowed sets are introduced. Finally, several illustrative examples and relative experiment are listed to verify the effectiveness and significance of the proposed models. (C) 2020 Elsevier Inc. All rights reserved.
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