Abstract
We introduce the notion of Stonean triangle algebra and consider it in details and give the relationships between Stonean triangle algebra and some of algebraic structures such as Gödel-triangle algebras. The notion of L-IVRL(Interval Valued Residuated Lattice)-filters has been defined and some classes of IVRL-filters have been studied. Then, we consider the relationship between these filters and Gödel-triangle algebras. In addition, Stonean IVRL-filters of triangle algebras studied in two view. In addition, IVRL-extended Stonean filter and Stonean IVRL-filters have been defined, by introducing these IVRL-filters on Stonean triangle algebras, we characterize classes of Stonean triangle algebras. Finally, the relationships among these types of IVRL-filters have been investigated.
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