EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 267–283 (2017)

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A NEW APPROACH TO FILTERS IN TRIANGLE ALGEBRAS

Saeide Zahiri, Arsham Borumand Saeid, Esfandiar Eslami

Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract: 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.

Keywords: residuated lattices; interval-valued structures; triangle algebras; IVRL-filters

Classification (MSC2000): 03G10;08A72;03G25;03B52;03C05

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Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.

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