The role of states in triangle algebras
In this paper, we enlarge the language of triangle algebra by adding a unary operation that describes properties of a state. These structure algebras are called state triangle algebra. The vital properties of these algebras are given. The notion of state interval-valued residuated lattice (IVRL)-fil...
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| Veröffentlicht in: | Iranian journal of fuzzy systems (Online) 2020-05, Vol.17 (3), p.163 |
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| container_title | Iranian journal of fuzzy systems (Online) |
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| creator | Zahiri, S Borumand Saeid, A |
| description | In this paper, we enlarge the language of triangle algebra by adding a unary operation that describes properties of a state. These structure algebras are called state triangle algebra. The vital properties of these algebras are given. The notion of state interval-valued residuated lattice (IVRL)-filters are introduced and give some examples and properties of them are given. Using this concept, we define two types IVRL-extended $\sigma$-filters of a state triangle algebra. |
| doi_str_mv | 10.22111/ijfs.2020.5356 |
| format | Article |
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| subjects | Algebra |
| title | The role of states in triangle algebras |
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