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The role of states in triangle algebras | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 13، دوره 17، شماره 3، مرداد و شهریور 2020، صفحه 163-176 اصل مقاله (428.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5356 | ||
| نویسندگان | ||
| S. Zahiri* 1؛ A. Borumand Saeid2 | ||
| 1Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran. | ||
| 2Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| 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)-filters are introduced and give some examples and properties of them are given. Using this concept, we define two types IVRL-extended $\sigma$-filters of a state triangle algebra. | ||
| کلیدواژهها | ||
| Triangle algebra؛ IVRL-filter؛ State operator؛ State IVRL-filter | ||
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آمار تعداد مشاهده مقاله: 643 تعداد دریافت فایل اصل مقاله: 522 |
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