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Ordinal sum of equality algebras | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 22، شماره 2، خرداد و تیر 2025، صفحه 41-57 اصل مقاله (459.74 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2025.49931.8822 | ||
| نویسندگان | ||
| Sogol Niazian* 1؛ Mona Aaly Kologani2؛ R. A. Borzooei3 | ||
| 1Faculty of Medicine, Tehran Medical Sciences, Islamic Azad University, Tehran, Iran | ||
| 2Hatef Higher Education Institute, Zahedan, Iran | ||
| 3Shahid Behesti University | ||
| چکیده | ||
| In this paper, by using the notion of ordinal sum of equality algebras which is defined in [4], we investigate some related properties and different kinds of filters of it such as prime and maximal. In addition, by focusing on chain equality algebra, we define the concept of a cut of an equality algebra and use it to introduce a new ordinal sum of them. By defining a relation relative to a cut, we show that the family of classes is made a cone algebra. Finally, we prove that every chain equality algebra can be represented as an ordinal sum of chain cone algebras. | ||
| کلیدواژهها | ||
| Equality algebra؛ ordinal sum؛ filter؛ cone algebra | ||
| مراجع | ||
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