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Distributivity for uninorms with noncontinuous underlying operators

delete2023-06-01
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PRE
AI
C
Chun Yong Wang
王
王鹏 (Peng Wang)
B
Bo Zhang *
DOI:10.1016/j.fss.2022.09.009delete
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摘要

摘要

En 中文
In this paper, we further study the distributivity for uninorms with noncontinuous underlying operators, where the first uninorm is in one of the known classes of uninorms, i.e., U-max, U-min, uninorms continuous in the open unit square and the second uninorm has a noncontinuous underlying operator. When the first uninorm is in U-max or U-min, the necessary conditions (resp. sufficient conditions) for the distributivity for uninorms are discussed with respect to some certain conditions. Considering the first uninorm continuous in the open unit square, the characterizations of the distributivity for uninorms are discussed. In particular, the uninorms in the distributivity equation have to be both disjunctive or both conjunctive at the same time, where the first uninorm is in U-max, U-min and uninorms continuous in the open unit square. (c) 2022 Elsevier B.V. All rights reserved.
Keyword:
Aggregation operators
Distributivity
Uninorms

期刊

Fuzzy Sets and Systems 封面图
Fuzzy Sets and Systems
IF:
2.7
论文数:
7.6K
被引数:
1.5W

机构

W
Wuhan Donghu University
学者数:
232
论文数: 261
被引数: 870
S
shandong normal university
学者数:
1.0W
论文数: 8.2K
被引数: 3
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