A new approach to filters in triangle algebras

Saeide Zahiri, Arsham Borumand Saeid, Esfandiar Eslami · Publications de l Institut Mathematique · 2017

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.

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