On the distributivity of T-power based implications

	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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