On Idempotent n-ary Uninorms

被引：0
|
作者：
Devillet, Jimmy [1 ]
Kiss, Gergely [2 ]
Marichal, Jean-Luc [1 ]
机构：
[1] Univ Luxembourg, Math Res Unit, Esch Sur Alzette, Luxembourg
[2] Hungarian Acad Sci, Alfred Renyi Inst Math, Budapest, Hungary
来源：
MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE (MDAI 2019) | 2019年 / 11676卷
关键词：
D O I：
10.1007/978-3-030-26773-5_9
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we describe the class of idempotent n-ary uninorms on a given chain. When the chain is finite, we axiomatize the latter class by means of the following conditions: associativity, quasitriviality, symmetry, and nondecreasing monotonicity. Also, we show that associativity can be replaced with bisymmetry in this new axiomatization.
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页码：98 / 104
页数：7
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