A new approach to filters in triangle algebras

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 detail...

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Veröffentlicht in:Publications de l'Institut mathématique (Belgrade) 2017, Vol.101 (115), p.267-283
Hauptverfasser: Zahiri, Saeide, Saeid, Arsham, Eslami, Esfandiar
Format: Artikel
Sprache:eng
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Zusammenfassung: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. nema
ISSN:0350-1302
1820-7405
DOI:10.2298/PIM1715267Z