New constructions of semi-t-operators on bounded lattices by order-preserving functions

The aim of this paper is to study semi-t-operators on bounded lattices. A series of construction methods of semi-t-operators on bounded lattices are given by using semi-triangular (co)norms (semi-t-(co)norms for short) and order-preserving functions on bounded lattices, and it is shown that the meth...

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Bibliographic Details
Published inFuzzy sets and systems Vol. 473; p. 108714
Main Authors Zhang, Yi-Qun, Wang, Ya-Ming, Liu, Hua-Wen
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.12.2023
Subjects
Aggregation functions
Bounded lattices
Semi-t-conorms
Semi-t-norms
Semi-t-operators
Semi-t-operators
Aggregation functions
Semi-t-norms
Semi-t-conorms
Bounded lattices
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Summary:The aim of this paper is to study semi-t-operators on bounded lattices. A series of construction methods of semi-t-operators on bounded lattices are given by using semi-triangular (co)norms (semi-t-(co)norms for short) and order-preserving functions on bounded lattices, and it is shown that the methods obtained in this paper can cover several construction methods existing in the literature. By analyzing the properties of the constructed semi-t-operators, we further obtain the equivalent characterizations for their corresponding representations. The results of this paper will provide a larger operator selection space for practical applications.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2023.108714