The role of states in triangle algebras
نویسندگان
1 Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran.
2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
doi
10.22111/ijfs.2020.5356چکیده
In this paper, we enlarge the language of triangle algebra by addinga unary operation that describes properties of a state. Thesestructure algebras are called state triangle algebra. The vitalproperties of these algebras are given. The notion of state interval-valued residuated lattice (IVRL)-filters are introduced and givesome examples and properties of them are given. Using this concept, we definetwo types IVRL-extended $\sigma$-filters of a state trianglealgebra.
