期刊
INFORMATION SCIENCES
卷 178, 期 16, 页码 3247-3252出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2008.03.014
关键词
lower inverse; upper inverse; set-valued mapping; set-valued homomorphism; rough set
Our aim in this paper is to introduce the concept of a set-valued homomorphism for groups, which is a generalization of ordinary homomorphism. Then using the definitions of lower inverse and upper inverse, we introduce the definition of uniform set-valued homomorphism and prove that every set-valued homomorphism is uniform. Finally, the concept of probabilistic T-rough set is defined. (c) 2008 Elsevier Inc. All rights reserved.
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