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Divisible associative aggregation operations on finite chains | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 1، دوره 20، شماره 5، آذر و دی 2023، صفحه 1-8 اصل مقاله (154.32 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.44566.7845 | ||
| نویسندگان | ||
| Yan Su1؛ Yong Su* 2؛ Radko Mesiar3 | ||
| 1Suzhou University of Science and Technology | ||
| 2School of mathematics sciences，Suzhou University of Science and Technology，Suzhou, Jiangsu 215009，China | ||
| 3Faculty of Civil Engineering, Department of Mathematics, Slovak University of Technology (STU), Bratislava, Slovakia | ||
| چکیده | ||
| There exist several versions of discrete counterpart of continuity in the framework of finite chains, e.g., the smoothness, the divisibility, intermediate-value property and the 1-Lipschitz property. In this paper, we first discuss the relationships among the smoothness, divisibility, intermediate-value property and 1-Lipschitz property. Second, we present complete characterizations of divisible associative aggregation operations on finite chains. | ||
| کلیدواژهها | ||
| Aggregation function؛ Smoothness؛ Divisibility؛ 1-Lipschitz property؛ Intermediate-value property | ||
| مراجع | ||
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