A New Approach to Filters in Triangle Algebras


Saeide Zahiri, Arsham Borumand Saeid, Esfandiar Eslami




We develop the filter theory in triangle algebras. We define several interval valued residuated lattice-filters (IVRL-filters for short) in triangle algebras. We investigate the relationships among these types of IVRL-filters. Also, some special triangle algebras are introduced and studied in details.