New results about idempotent semi-t-operators on bounded lattices
Publish place: Iranian Journal of Fuzzy Systems، Vol: 21، Issue: 6
Publish Year: 1403
Type: Journal paper
Language: English
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JR_IJFS-21-6_005
Index date: 3 February 2025
New results about idempotent semi-t-operators on bounded lattices abstract
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.
New results about idempotent semi-t-operators on bounded lattices Keywords:
New results about idempotent semi-t-operators on bounded lattices authors
Ya-Ming Wang
School of Mathematics, Southwest Jiaotong University
Dongxue Jiang
Shandong University
Yexing Dan
School of Mathematics, Southwest Jiaotong University, Chengdu, PR China
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