An addendum to ``Construction of 2-uninorms on bounded lattices''

Document Type : Research Paper

Author

School of Mathematics, Shandong University

Abstract

In this work, we supplement two methods to construct a 2-uninorm on a bounded lattice using two uninorms, and illustrate that the method proposed by Ertugrul is a special case of the new ones. Furthermore, the relationships between 2-uninorms on bounded lattices obtained by all existing methods are showed at the end of this work.

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References

[1] G. Birkhoff , Lattice theory, American Mathematical Society Colloquium Publications, Rhode Island, 1967.
[2] U. Ertugrul, A way to obtain 2-uninorm on bounded lattice from uninorms defined on subintervals of bounded lattice, New Trends in Mathematical Sciences, 5 (2017), 1-9.
[3] W. Ji, Constructions of uninorms on bounded lattice by means of t-subnorms and t-subconorms, Fuzzy Sets and Systems, 403 (2021), 38-55.
[4] F. Karacal, R. Mesiar, Uninorms on bounded lattices, Fuzzy Sets and Systems, 261 (2015), 33-43.
[5] A. Xie, Z. Yi, Construction of 2-uninorms on bounded lattices, Iranian Journal of Fuzzy Systems, 19 (2022), 189-200.
Iranian Journal of Fuzzy Systems
Volume 20, Issue 4
July and August 2023
Pages 97-102

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