Multiset concepts in two-universe approximation spaces

Journal of the Egyptian Mathematical Society

O. A. Embaby¹  Nadya A. Toumi² 

[1] Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt;Department of Mathematics, Faculty of Science, The 7th of April University, Al- Zawia, Libya;

关键词: Rough set;    Multiset;    Two universes approximation space;    54A05;    03E20;    68 U35;   

DOI  :  10.1186/s42787-020-00104-5

来源: Springer

【 摘 要 】

Rough set theory over two universes is a generalization of rough set model to find accurate approximations for uncertain concepts in information systems in which uncertainty arises from existence of interrelations between the three basic sets: objects, attributes, and decisions.In this work, multisets are approximated in a crisp two-universe approximation space using binary ordinary relation and multi relation. The concept of two universe approximation is applied for defining lower and upper approximations of multisets. Properties of these approximations are investigated, and the deviations between them and corresponding notions are obtained; some counter examples are given. The suggested notions can help in the modification of the decision-making for events in which objects have repetitions such as patients visiting a doctor more than one time; an example for this case is given.

【 授权许可】

CC BY