The role of states in triangle algebras
Publish place: Iranian Journal of Fuzzy Systems، Vol: 17، Issue: 3
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-17-3_013
تاریخ نمایه سازی: 30 خرداد 1400
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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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