Ordered Weighted Averaging Operators: A Short Review

2021 ◽  
Vol 7 (2) ◽  
pp. 4-12
Author(s):  
Orsolya Csiszar
Keyword(s):  
Short Review ◽  
Weighted Averaging ◽  
Averaging Operators ◽  
Ordered Weighted Averaging ◽  
Ordered Weighted Averaging Operators

Canonical form of ordered weighted averaging operators

2020 ◽  
Vol 295 (2) ◽  
pp. 605-631
Author(s):  
LeSheng Jin ◽  
Radko Mesiar ◽  
Martin Kalina ◽  
Ronald R. Yager
Keyword(s):  
Canonical Form ◽  
Weighted Averaging ◽  
Averaging Operators ◽  
Ordered Weighted Averaging ◽  
Ordered Weighted Averaging Operators

GENERATION OF WEIGHTING TRIANGLES ASSOCIATED WITH AGGREGATION FUNCTIONS

2000 ◽  
Vol 08 (04) ◽  
pp. 417-451 ◽  
Author(s):  
T. CALVO ◽  
G. MAYOR ◽  
J. TORRENS ◽  
J. SUÑER ◽  
M. MAS ◽  
...  
Keyword(s):  
Aggregation Function ◽  
Weighted Averaging ◽  
Fractal Structures ◽  
Weighted Mean ◽  
Averaging Operators ◽  
Ordered Weighted Averaging ◽  
Aggregation Functions ◽  
Different Types ◽  
Ordered Weighted Averaging Operators

In this work, we present several ways to obtain different types of weighting triangles, due to these types characterize some interesting properties of Extended Ordered Weighted Averaging operators, EOWA, and Extended Quasi-linear Weighted Mean, EQLWM, as well as of their reverse functions. We show that any quantifier determines an EOWA operator which is also an Extended Aggregation Function, EAF, i.e., the weighting triangle generated by a quantifier is always regular. Moreover, we present different results about generation of weighting triangles by means of sequences and fractal structures. Finally, we introduce a degree of orness of a weighting triangle associated with an EOWA operator. After that, we mention some results on each class of triangle, considering each one of these triangles as triangles associated with their corresponding EOWA operator, and we calculate the ornessof some interesting examples.

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