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Semi-t-operators and idempotent semi-t-operators on bounded lattices | ||
Iranian Journal of Fuzzy Systems | ||
دوره 18، شماره 2، خرداد و تیر 2021، صفحه 109-125 اصل مقاله (369.84 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2021.5918 | ||
نویسندگان | ||
Y. M. Wang* 1؛ Z. B. Li2؛ H. W. Liu1 | ||
1School of Mathematics, Shandong University, 250100 Jinan, PR China | ||
2School of Statistics, Shandong University of Finance and Economics, 250014 Jinan, PR China | ||
چکیده | ||
Recently, Fang and Hu introduced the definition of semi-t-operators on bounded lattices. In this study, we propose several construction methods to obtain such a semi-t-operator from a given semi-t-conorm and semi-t-norm on bounded lattices. Furthermore, we discuss the presence of idempotent semi-t-operators on bounded lattices, and show several different methods for construction of idempotent semi-t-operators on bounded lattices with additional constraints. | ||
کلیدواژهها | ||
Semi-t-operators؛ bounded lattices؛ idempotent semi-t-operators | ||
آمار تعداد مشاهده مقاله: 479 تعداد دریافت فایل اصل مقاله: 536 |