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New representations of the generalized uniform fuzzy partitions: Generalized normal case | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 20، دوره 16، شماره 2، اردیبهشت 2025، صفحه 245-253 اصل مقاله (403.41 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27114.3501 | ||
| نویسنده | ||
| Hussein Ahmad Alkasasbeh* 1، 2 | ||
| 1The Hashemite Kingdom of Jordan Ministry of Education, Amman 11118, Jordan | ||
| 2Arab Open University – Jordan Branch, Faculty of Computer Studies, Amman, Jordan | ||
| تاریخ دریافت: 18 اردیبهشت 1401، تاریخ پذیرش: 23 مهر 1402 | ||
| چکیده | ||
| In this research, new representations of basic functions are proposed based on the new types of fuzzy partition and a subnormal generating function. The generalized uniform fuzzy partitions in subnormal case, i.e. in case a generating function K is not normal (generalized normal case), and simpler form of fuzzy transform (FzT) components based on these new representations of the generalized uniform fuzzy partitions are indicated. The main properties of a new uniform fuzzy partition are suggested. New theorems and lemmas are proved. | ||
| کلیدواژه‌ها | ||
| Fuzzy partition؛ Fuzzy transform؛ Basic function؛ The membership functions؛ Generating function؛ Ruspini condition | ||
| مراجع | ||
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