(1808-4651) The role of states in triangle algebras
Saeide Zahiri, Arsham Borumand Saeid · Iranian journal of fuzzy systems · 2019
In this paper, we enlarge the language of triangle algebra by adding a unary operation that describes properties of astate. These structure algebras are called state triangle algebra. The vital properties of these algebras are given. Thenotion of state interval-valued residuated lattice (IVRL)-fi lters are introduced and give some examples and propertiesof them. Using this concept, we defi ne two types IVRL-extended σ-fi lters of a state triangle algebra.