Some Results on Multigranulation Neutrosophic Rough Sets on a Single Domain

Symmetry

Hong-Ying Zhang¹  Hu Zhao² 

[1] School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China;School of Science, Xi’an Polytechnic University, Xi’an 710048, China;

关键词: neutrosophic set;    neutrosophic rough set;    pessimistic (optimistic) multigranulation neutrosophic approximation operators;    complete lattice;   

DOI  :  10.3390/sym10090417

来源: DOAJ

【 摘 要 】

As a generalization of single value neutrosophic rough sets, the concept of multi-granulation neutrosophic rough sets was proposed by Bo et al., and some basic properties of the pessimistic (optimistic) multigranulation neutrosophic rough approximation operators were studied. However, they did not do a comprehensive study on the algebraic structure of the pessimistic (optimistic) multigranulation neutrosophic rough approximation operators. In the present paper, we will provide the lattice structure of the pessimistic multigranulation neutrosophic rough approximation operators. In particular, in the one-dimensional case, for special neutrosophic relations, the completely lattice isomorphic relationship between upper neutrosophic rough approximation operators and lower neutrosophic rough approximation operators is proved.

【 授权许可】

Unknown