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Constructing overlap functions on bounded posets via multiplicative generators

delete2024-04-01
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PRE
AI
J
Jing Lu
B
Bin Zhao *
DOI:10.1016/j.ijar.2024.109129delete
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摘要

摘要

En 中文
Overlap functions are an important class of aggregation operators on [0,1] that have been proposed for applications in image processing, classification, etc. Later, Paiva et al. lifted overlap functions on [0,1] to complete lattices. In this paper, we continue to study overlap functions on bounded posets so as to lift the continuity in the notion of overlap functions from [0,1] to bounded posets mainly from the topological aspects. More precisely, we introduce the notion of overlap functions on bounded posets. And then, we consider the multiplicative generator triples of overlap functions on bounded posets, and investigate constructions of overlap functions by multiplicative generator triples.
Keyword:
Overlap function
Bounded poset
Multiplicative generator

期刊

International Journal of Approximate Reasoning 封面图
International Journal of Approximate Reasoning
IF:
3
论文数:
3.0K
被引数:
5.1K

机构

S
Shaanxi Normal University
学者数:
1.6W
论文数: 1.1W
被引数: 1.7W
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