INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| دوره 10، شماره 2، فروردین 2023، صفحه 285-297 اصل مقاله (148.92 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.10104.1503 | ||
| نویسندگان | ||
| R. A. Borzooei* 1؛ X. L. Xin2؛ Y. B. Jun3 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran. | ||
| 2School of Mathematics, Northwest University, P.O. Box 710127, Xi’an, China. | ||
| 3Department of Mathematics Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea. | ||
| چکیده | ||
| The notion of commutative falling intuitionistic fuzzy ideal of a BCK-algebra is introduced and related properties are investigated. We verify that every commutative intuitionistic fuzzy ideal is a commutative falling intuitionistic fuzzy ideal, and provide example to show that a commutative falling intuitionistic fuzzy ideal is not a commutative intuitionistic fuzzy ideal. Relations between a falling intuitionistic fuzzy ideal and a commutative falling intuitionistic fuzzy ideal are considered, and a condition for a falling intuitionistic fuzzy ideal to be a commutative falling intuitionistic fuzzy ideal is provided. | ||
| کلیدواژهها | ||
| (falling) intuitionistic fuzzy ideal؛ commutative intuitionistic fuzzy ideal؛ commutative falling intuitionistic fuzzy ideal | ||
| مراجع | ||
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