Yan Li
Abstract
The relation between rough set algebra and MTL algebra is studied,and the method of constructing MTL algebra from rough set algebra is presented. Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes MTL algebra if proper implication and complement operators are selected.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The relation between rough set algebra and MTL algebra is studied,and the method of constructing MTL algebra from rough set algebra is presented. Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes MTL algebra if proper implication and complement operators are selected.
Key concepts: Algebra over a field, Cellular algebra, Mathematics, Filtered algebra, Set (abstract data type), Algebra representation, Incidence algebra, Division algebra