New constructions and characterizations of semi-t-operators on bounded lattices

Document Type : Original Manuscript

Authors

1 School of Mathematics, Liaocheng University, Liaocheng, Shandong ，China

2 liaocheng university

3 School of Mathematics, Liaocheng University, Liaocheng, Shandong ， China

Abstract

The aim of this paper is to study new semi-t-operators on bounded lattices. We propose four new methods for constructing semi-t-operators on bounded lattices by using semi-t-norms, semi-t-conorms and order-preserving mappings.  Comparative analysis reveals that the construction methods proposed in this paper can be regarded as generalizations of  various approaches in existing literature. Besides, we provide equivalent characterizations of the corresponding forms of  these four semi-t-operators.

Keywords

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References

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Iranian Journal of Fuzzy Systems
Volume 23, Issue 6
November and December 2026
Pages 209-221

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