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 in | Fuzzy sets and systems Vol. 473; p. 108714 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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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. |
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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 |
Author_xml | – sequence: 1 givenname: Yi-Qun surname: Zhang fullname: Zhang, Yi-Qun email: 2272052751@qq.com – sequence: 2 givenname: Ya-Ming surname: Wang fullname: Wang, Ya-Ming email: 623073044@qq.com – sequence: 3 givenname: Hua-Wen surname: Liu fullname: Liu, Hua-Wen email: hw.liu@sdu.edu.cn |
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Cites_doi | 10.1016/j.fss.2015.01.015 10.1016/j.fss.2015.08.001 10.1016/j.fss.2022.10.016 10.1016/j.ins.2019.03.077 10.1016/j.fss.2015.10.012 10.1016/j.ins.2015.07.030 10.1016/j.fss.2021.09.003 10.1016/j.fss.2018.10.016 10.1016/j.ijar.2022.04.005 10.1016/j.fss.2021.09.020 10.1016/j.fss.2017.05.025 10.1016/j.fss.2015.06.003 10.1016/j.fss.2020.10.012 10.1016/j.ins.2020.06.013 10.1016/S0165-0114(99)00125-6 10.1016/S0165-0114(02)00499-2 10.1016/j.fss.2021.08.012 10.1016/j.fss.2014.09.003 10.1016/j.fss.2022.11.010 10.1016/j.fss.2019.06.018 10.1016/S0165-0114(01)00123-3 |
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Fuzzy Syst. contributor: fullname: Wang – volume: 120 start-page: 385 year: 2001 ident: 10.1016/j.fss.2023.108714_br0020 article-title: The functional equations of Frank and Alsina for uninorms and nullnorms publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(99)00125-6 contributor: fullname: Calvo – volume: 139 start-page: 473 year: 2003 ident: 10.1016/j.fss.2023.108714_br0080 article-title: The symmetric Sugeno integral publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(02)00499-2 contributor: fullname: Grabisch – volume: 439 start-page: 157 year: 2022 ident: 10.1016/j.fss.2023.108714_br0270 article-title: A complete representation theorem for nullnorms on bounded lattices with ample illustrations publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2021.08.012 contributor: fullname: Zhang – volume: 264 start-page: 100 year: 2015 ident: 10.1016/j.fss.2023.108714_br0040 article-title: Distributivity between semi-t-operators and semi-nullnorms publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2014.09.003 contributor: fullname: Drygaś – year: 2023 ident: 10.1016/j.fss.2023.108714_br0100 article-title: Idempotent semi-t-operators on bounded lattices publication-title: Iran. 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