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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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
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Abstract 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.
AbstractList 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.
ArticleNumber 108714
Author Wang, Ya-Ming
Liu, Hua-Wen
Zhang, Yi-Qun
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Keywords Semi-t-operators
Aggregation functions
Semi-t-norms
Semi-t-conorms
Bounded lattices
Language English
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Snippet 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...
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elsevier
SourceType Aggregation Database
Publisher
StartPage 108714
SubjectTerms Aggregation functions
Bounded lattices
Semi-t-conorms
Semi-t-norms
Semi-t-operators
Title New constructions of semi-t-operators on bounded lattices by order-preserving functions
URI https://dx.doi.org/10.1016/j.fss.2023.108714
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