Journal
INFORMATION SCIENCES
Volume 510, Issue -, Pages 89-98Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2019.09.026
Keywords
Three-way decisions; Convex systems; Three-way convex systems; Three-way fuzzy convex systems
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Funding
- National Natural Science Foundation of China [11771263, 61473181]
- Fundamental Research Funds for the Central Universities [GK201702008]
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In this paper, we study convex systems under the frame of three-way decision theory. Firstly, we give the notion of three-way convex systems. We obtain an equivalence characterization of three-way convex systems. Then, we propose the concept of three-way fuzzy convex systems in term of L-convex systems. Some related examples are presented. Finally, we establish a one-to-one correspondence between three-way convex systems and three-way fuzzy convex systems. (C) 2019 Elsevier Inc. All rights reserved.
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