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New results about idempotent semi-t-operators on bounded lattices | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 21، شماره 6، بهمن و اسفند 2024، صفحه 69-82 اصل مقاله (391.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2024.49405.8721 | ||
| نویسندگان | ||
| Ya-Ming Wang* 1؛ Dongxue Jiang2؛ Yexing Dan3 | ||
| 1School of Mathematics, Southwest Jiaotong University | ||
| 2Shandong University | ||
| 3School of Mathematics, Southwest Jiaotong University, Chengdu, PR China | ||
| چکیده | ||
| More recently, Hua conducted an investigation into the properties and constructions of idempotent semi-t-operators on bounded lattices. In her paper, there were two corollaries (without proof) showing the nonexistence of idempotent semi-t-operators on the bounded lattice which contains one of the eight sublattices mentioned in those corollaries. Unfortunately, it has been discovered that the conclusions drawn from those two corollaries are not entirely correct. This work aims to not only identify the errors in those corollaries through three counterexamples but also supplement all findings pertaining to the existence of idempotent semi-t-operators on any bounded lattice. | ||
| کلیدواژه‌ها | ||
| Semi-t-operators؛ Bounded lattices؛ Idempotent semi-t-operators | ||
| مراجع | ||
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