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On the distributivity of T-power based implications | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 13، دوره 19، شماره 2، خرداد و تیر 2022، صفحه 169-186 اصل مقاله (229.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6797 | ||
| نویسندگان | ||
| Z. Peng* ؛ J. Pan | ||
| College of Mathematics and Statistics, Yangtze Normal University, Chongqing, PR China | ||
| چکیده | ||
| Due to the fact that Zadeh's quantifiers constitute the usual method to modify fuzzy propositions, the so-called family of T-power based implications was proposed. In this paper, the four basic distributive laws related to T-power based fuzzy implications and fuzzy logic operations (t-norms and t-conorms) are deeply studied. This study shows that two of the four distributive laws of the T-power based implications have a unique solution, while the other two have multiple solutions. | ||
| کلیدواژه‌ها | ||
| T-power based implications؛ distributivity؛ t-norms؛ t-conorms | ||
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آمار تعداد مشاهده مقاله: 234 تعداد دریافت فایل اصل مقاله: 279 |
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