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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 | ||
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