|تعداد مشاهده مقاله||9,731,382|
|تعداد دریافت فایل اصل مقاله||6,362,825|
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|
|Z. Peng* ؛ J. Pan|
|College of Mathematics and Statistics, Yangtze Normal University, Chongqing, PR China|
|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.|
|T-power based implications؛ distributivity؛ t-norms؛ t-conorms|
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