Some Results on Multigranulation Neutrosophic Rough Sets on a Single Domain
Some Results on Multigranulation Neutrosophic Rough Sets on a Single Domain
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DOI：
10.3390/sym10090417
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发表时间：
2018-09
期刊：
影响因子：
--
通讯作者：
Hu Zhao;Hongying Zhang
中科院分区：
文献类型：
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作者：
Hu Zhao;Hongying Zhang
作为单值中性粗糙集的推广，Bo等人提出了多粒中性粗糙集的概念，并研究了悲观(乐观)多粒中性粗糙近似算子的一些基本性质。然而，他们并没有对悲观(乐观)多粒中性粗略逼近算子的代数结构进行全面的研究。在本文中，我们将给出悲观多粒中性粗逼近算子的格结构。特别地，在一维情形下，对于特殊的中性型关系，证明了上中性型粗逼近算子与下中性型粗逼近算子之间的完全格同构关系。
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.