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Constructing overlap functions on bounded posets via multiplicative generators
DOI:10.1016/j.ijar.2024.109129.png)
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
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3.0K
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引用论文
Constructing overlap and grouping functions on complete lattices by means of complete homomorphisms通过完全同态在完整晶格上构造重叠和分组函数
Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions具有从区间值重叠函数导出的区间权重的广义区间值OWA算子
On interval additive generators of interval overlap functions and interval grouping functions关于区间重叠函数和区间分组函数的区间加法生成器
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