Directional and Ordered Directional Monotonicity of Generalized and Bounded Generalized Mixture Functions

被引：0

作者：

Farias, Antonio Diego S. ^{[1
,2
]}

Callejas, Claudio ^{[1
,2
]}

Santiago, Regivan H. N. ^{[2
]}

Bedregal, Benjamin ^{[2
]}

机构：

[1] Fed Rural Univ Semiarid UFERSA, Grp Theory Computat Log & Fuzzy Math, Dept Exacts & Nat Sci, Pau Dos Ferros, RN, Brazil

[2] Fed Univ Rio Grande do Norte UFRN, Grp Log Language Informat Theory & Applicat, Dept Informat & Appl Math, Natal, RN, Brazil

来源：

2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2018年

关键词：

Generalized Mixture Function; Bounded Generalized Mixture Function; Directional Monotonicity; Ordered Directional Monotonicity; Fusion Functions; Ordered Weighted Averaging Functions; Choquet Integrals; AGGREGATION; OPERATORS; CONSTRUCTION; INTEGRALS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Generalized Mixture (GM) and Bounded Generalized Mixture (BGM) functions, as well as OWA and Choquet integrals, are weighted averaging functions which provide a broad class of fusion functions. However, both, OWA and Choquet Integrals, satisfy the monotonicity condition, which fails for some GM and BGM functions. In this paper we investigate two generalized forms of monotonicity: The directional monotonicity and ordered directional monotonicity, then we determine some criteria for obtaining GM and BGM functions which satisfy such properties.

引用

页数：7

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