(2203-7262) Conditional distributivity of continuous triangular norms over 2-uninorms

	(2203-7262) Conditional distributivity of continuous triangular norms over 2-uninorms
Iranian Journal of Fuzzy Systems
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 آذر 1401 اصل مقاله (198.86 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2022.7261
نویسندگان
S. P. Liu؛ F. Qin^*
School of Mathematics and Statistics, Jiangxi Normal University, 330022 Nanchang, PR China
چکیده
Conditional distributivity of aggregation functions, which has received wide attention from the researchers, is vital for many different fields, for example, integration theory, utility theory and so on. This article is mainly devoted to dealing with the conditional distributivity of continuous t-norms over 2-uninorms. As the first step for investigating the conditional distributivity of 2-uninorms, we give the complete characterization of all pairs $(T,\mathcal{H})$ {fulfilling} this property. Compared to the case of distributivity of continuous t-norms over 2-uniorms, which leads to the 2-uninorm must be idempotent, the results obtained in this paper demonstrate that conditional distributivity and distributivity on this topic, are not equivalent.
کلیدواژه‌ها
Conditional distributivity؛ 2-uninorms؛ uninorms؛ continuous triangular norms

آمار تعداد مشاهده مقاله: 37 تعداد دریافت فایل اصل مقاله: 34

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب