Open AccessOn some logical relation properties for rough neutrosophic set
Author(s) -
Siti Aisyah Mohd Zainal,
Ahmad Termimi Ab Ghani,
Lazim Abdullah
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1878/1/012048
Subject(s) - rough set , relation (database) , mathematics , transitive relation , transitive closure , algebra over a field , closure (psychology) , boolean algebra , pure mathematics , set (abstract data type) , binary relation , inverse , discrete mathematics , computer science , data mining , combinatorics , geometry , economics , market economy , programming language
In this paper, we mainly investigate the relation theory and topological structures of rough neutrosophic sets which constructed by combining rough sets and neutrosophic sets. Firstly, we introduce the concept of algebra which is operations and identity relation. Then, discuss the properties of inverse, reflexive, symmetric as well as transitive relation of rough neutrosophic set. Further, regular sets form a Boolean algebra is introduced from the interior and closure of interior in rough neutrosophic sets. The results establish can help to gain more insight in rough neutrosophic sets.