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
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.
