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The role of states in triangle algebras

Publish Year: 1399
Type: Journal paper
Language: English
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Document National Code:

JR_IJFS-17-3_013

Index date: 20 June 2021

The role of states in triangle algebras abstract

In this paper, we enlarge the language of triangle algebra by addinga unary operation that describes properties of a state. Thesestructure algebras are called state triangle algebra. The vitalproperties of these algebras are given. The notion of state interval-valued residuated lattice (IVRL)-filters are introduced and givesome examples and properties of them are given. Using this concept, we definetwo types IVRL-extended \sigma-filters of a state trianglealgebra.

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The role of states in triangle algebras authors

S. Zahiri

Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran.

A. Borumand Saeid

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