On generating uninorms on some special classes of bounded lattices

被引：9

作者：

Asici, Emel ^{[1
]}

Mesiar, Radko ^{[2
,3
]}

机构：

[1] Karadeniz Tech Univ, Fac Technol, Dept Software Engn, TR-61830 Trabzon, Turkey

[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Radlinskeho 11, Bratislava 81005, Slovakia

[3] Div Univ Ostrava, Ctr Excellence IT4Innovat, IRAFM, 30 Dubna 22, Ostrava 70103, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2022年 / 439卷

关键词：

Bounded lattices; Uninorms; Neutral elements; TRIANGULAR NORMS;

D O I：

10.1016/j.fss.2021.06.010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper further develops the study of construction of uninorms on bounded lattices. First, by using the fact that triangular norms (t-norms) and triangular conorms (t-conorms) on an arbitrary bounded lattice always exist, we present two new constructions of uninorms on an arbitrary bounded lattice L with an additional constraint on the neutral element. In addition, some illustrative examples for the new constructions of uninorms on bounded lattices are provided. Then, we illustrate how our new construction methods are different from some existing methods for the construction of uninorms on bounded lattices. Finally, we provide an answer to the open problem presented by cayll. (c) 2021 Elsevier B.V. All rights reserved.

引用

页码：102 / 125

页数：24

共 50 条

[31] Uninorms on Bounded Lattices with Given Underlying Operations
Bodjanova, Slavka
Kalina, Martin
NEW TRENDS IN AGGREGATION THEORY, 2019, 981 : 183 - 194
[32] New methods to construct uninorms on bounded lattices
Cayli, Gul Deniz
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2019, 115 : 254 - 264
[33] On internal and locally internal uninorms on bounded lattices
Cayli, Gul Deniz
Karacal, Funda
Mesiar, Radko
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2019, 48 (03) : 235 - 259
[34] On uninorms and nullnorms on direct product of bounded lattices
Kalina, Martin
OPEN PHYSICS, 2016, 14 (01): : 321 - 327
[35] On constructing the largest and smallest uninorms on bounded lattices
Xie, Aifang
Li, Sanjiang
FUZZY SETS AND SYSTEMS, 2020, 386 : 95 - 104
[36] Construction of 2-uninorms on bounded lattices
Xie, A.
Yi, Z.
IRANIAN JOURNAL OF FUZZY SYSTEMS, 2022, 19 (01): : 187 - 198
[37] New construction approaches of uninorms on bounded lattices
Cayli, Gul Deniz
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2021, 50 (02) : 139 - 158
[38] ON THE CONSTRUCTIONS OF T-NORMS AND T-CONORMS ON SOME SPECIAL CLASSES OF BOUNDED LATTICES
Asici, Emel
KYBERNETIKA, 2021, 57 (02) : 352 - 371
[39] Constructing uninorms on bounded lattices by using additive generators
He, Peng
Wang, Xue-ping
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2021, 136 : 1 - 13
[40] Congruence Relations and Direct Decomposition of Uninorms on Bounded Lattices
Karacal, Funda
Ertugrul, Umit
Arpaci, Samet
Kesicioglu, M. Nesibe
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2023, 31 (06) : 1033 - 1059

← 1 2 3 4 5 →