Conditional aggregation-based Choquet integral as a Choquet integral on a hyperspace

被引：2

作者：

Borzova, Jana ^{[1
,2
]}

Halcinova, Lenka ^{[1
]}

Supina, Jaroslav ^{[1
]}

机构：

[1] Pavol Jozef Safarik Univ Kosice, Inst Math, Fac Sci, Kosice, Slovakia

[2] Jesenna 5, SK-04001 Kosice, Slovakia

来源：

FUZZY SETS AND SYSTEMS | 2024年 / 492卷

关键词：

Generalized survival function; Conditional aggregation; Minitive set function; M & ouml; bius transform; Size; FUZZY MEASURES;

D O I：

10.1016/j.fss.2024.109055

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We aim at representing the recently introduced conditional aggregation -based Choquet integral as a standard Choquet integral on a hyperset. The representation is one of transformations considered by R.R. Yager and R. Mesiar in 2015. Thus we study the properties of the conditional aggregation -based Choquet integral using well-known facts about the standard Choquet integral. In particular, we obtain several formulas for its computation. We also provide the representation of the conditional aggregation -based Choquet integral in terms of the M & ouml;bius transform.

引用

页数：15

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