๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The induced fuzzy integral aggregation operator

โœ Scribed by Ronald R. Yager

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
131 KB
Volume
17
Category
Article
ISSN
0884-8173

No coin nor oath required. For personal study only.

โœฆ Synopsis

We discuss the fuzzy integral. The centrality of the ordering operation, based upon the arguments to be aggregated, is pointed out. We then extend the fuzzy integral aggregation operator by allowing the ordering operation to be based upon values other then those being aggregated. This leads to the induced fuzzy integral aggregation operator. We look at this new operator and study its properties. We show its relationship to a formulation called limited fuzzy integral aggregation. It is shown how this new induced fuzzy integral operator provides a natural framework for the implementation of nearest neighbor rules. Throughout this work, use is made only of the ordinal aspects of the information used.

๐Ÿ“œ SIMILAR VOLUMES

Induced intuitionistic fuzzy Choquet int
Induced intuitionistic fuzzy Choquet integral operator for multicriteria decision making
โœ Chunqiao Tan; Xiaohong Chen ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 187 KB

extended the idea of order-induced aggregation to the Choquet aggregation and defined induced Choquet ordered averaging operator. In this paper, an induced intuitionistic fuzzy Choquet (IFC) integral operator is proposed for the multiple criteria decision making. Some of its properties are investiga

Intuitionistic fuzzy geometric aggregati
Intuitionistic fuzzy geometric aggregation operators based on einstein operations
โœ Weize Wang; Xinwang Liu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 180 KB ๐Ÿ‘ 1 views

Intuitionistic fuzzy information aggregation plays an important part in Atanassov's intuitionistic fuzzy set theory, which has emerged to be a new research direction receiving more and more attention in recent years. In this paper, we first introduce some operations on intuitionistic fuzzy sets, suc

Generalized aggregation operators for in
Generalized aggregation operators for intuitionistic fuzzy sets
โœ Hua Zhao; Zeshui Xu; Mingfang Ni; Shousheng Liu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 205 KB ๐Ÿ‘ 2 views

The generalized ordered weighted averaging (GOWA) operators are a new class of operators, which were introduced by Yager (Fuzzy Optim Decision Making 2004;3:93-107). However, it seems that there is no investigation on these aggregation operators to deal with intuitionistic fuzzy or interval-valued i

The fuzzy integral
The fuzzy integral
โœ Dan Ralescu; Gregory Adams ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 361 KB
Generalized point operators for aggregat
Generalized point operators for aggregating intuitionistic fuzzy information
โœ Meimei Xia; Zeshui Xu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 186 KB ๐Ÿ‘ 1 views

We first develop a series of intuitionistic fuzzy point operators, and then based on the idea of generalized aggregation (Yager RR. Generalized OWA aggregation operators. Fuzzy Optim Decis Making 2004;3:93-107 and Zhao H, Xu ZS, Ni MF, Liu SS. Generalized aggregation operators for intuitionistic fuz