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

A NEW APPROACH TO FILTERS IN TRIANGLE ALGEBRASSaeide Zahiri, Arsham Borumand Saeid, Esfandiar EslamiDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranAbstract: We develop the filter theory in triangle algebras. We define several interval valued residuated latticefilters (IVRLfilters for short) in triangle algebras. We investigate the relationships among these types of IVRLfilters. Also, some special triangle algebras are introduced and studied in details. Keywords: residuated lattices; intervalvalued structures; triangle algebras; IVRLfilters Classification (MSC2000): 03G10;08A72;03G25;03B52;03C05 Full text of the article: (for faster download, first choose a mirror)
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