Title of article
The role of states in triangle algebras
Author/Authors
Zahiri, S. Department of Mathematics - Faculty of Science - Higher Education Center of Eghlid, Eghlid, Iran , Borumand Saeid, A. Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran
Pages
14
From page
163
To page
176
Abstract
In this paper, we enlarge the language of triangle algebra by adding a unary operation that describes properties of a
state. These structure algebras are called state triangle algebra. The vital properties of these algebras are given. The
notion of state interval-valued residuated lattice (IVRL)-lters are introduced and give some examples and properties
of them are given. Using this concept, we dene two types IVRL-extended -lters of a state triangle algebra.
Keywords
Triangle algebra
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2020
Record number
2526464
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