On Monotonicity of the Interval Sugeno Integral

被引：5

作者：

Boczek, Michal ^{[1
]}

Jin, LeSheng ^{[2
]}

Mesiar, Radko ^{[3
,4
]}

Yager, Ronald R. ^{[5
]}

机构：

[1] Lodz Univ Technol, Inst Math, PL-90924 Lodz, Poland

[2] Nanjing Normal Univ, Sch Business, Nanjing 210046, Peoples R China

[3] Slovak Univ Technol Bratislava, Fac Civil Engn, SK-81005 Bratislava, Slovakia

[4] Univ Ostrava, Inst Res & Applicat Fuzzy Modelling, CZ-70103 Ostrava, Czech Republic

[5] Iona Coll, Machine Intelligence Inst, New Rochelle, NY 10801 USA

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2021年 / 29卷 / 09期

关键词：

Congruent lambda-ordering; Interval Sugeno Integrals; Sugeno Integrals; synchronized Interval Sugeno Integral;

D O I：

10.1109/TFUZZ.2020.2994992

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A monotonicity of Interval Sugeno Integrals proposed in "X. Pu, R. Mesiar, R. R. Yager, L. Jin, Interval Sugeno integral with preference," IEEE Trans. Fuzzy Syst. vol. 28, pp. 597-601, 2020 has been found incorrect with a counter example. This letter presents the counter example and analyzes the reason that causes such nonmonotonicity. In addition, two new related forms of Interval Sugeno Integrals are also proposed, which feature the synchronizations about values and subsets, respectively. The similar monotonicities for the new forms are proved to be correct.

引用

页码：2825 / 2827

页数：3