INDUCED AND LOGARITHMIC DISTANCES WITH MULTI-REGION AGGREGATION OPERATORS

被引:22
作者
Alfaro-Garcia, Victor G. [1 ]
Merigo, Jose M. [2 ,3 ]
Plata-Perez, Leobardo [1 ]
Alfaro-Calderon, Gerardo G. [4 ]
Gil-Lafuente, Anna M. [5 ]
机构
[1] Univ Autonoma San Luis Potosi, Fac Econ, San Luis Potosi, Mexico
[2] Univ Chile, Dept Control Gest & Sistemas Informac, Santiago, Chile
[3] Univ Technol Sydney, Sch Syst Management & Leadership, Fac Engn & Informat Technol, Ultimo, NSW 2007, Australia
[4] Univ Michoacana, Fac Contaduria & Ciencias Adm, Morelia, Michoacan, Mexico
[5] Univ Barcelona, Fac Econ & Empresa, Barcelona, Spain
关键词
OWA; decision-making science; logarithmic OWA operators; multiregion AGOP; induced OWA operators; distance OWA operators; induced distance logarithmic AGOP; GROUP DECISION-MAKING; WEIGHTED AVERAGING OPERATOR; ECONOMIC-GROWTH; MOVING AVERAGES; CREATIVE CLASS; INFORMATION;
D O I
10.3846/tede.2019.9382
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper introduces the induced ordered weighted logarithmic averaging IOWLAD and multiregion induced ordered weighted logarithmic averaging MR-IOWLAD operators. The distinctive characteristic of these operators lies in the notion of distance measures combined with the complex reordering mechanism of inducing variables and the properties of the logarithmic averaging operators. The main advantage of MR-IOWLAD operators is their design, which is specifically thought to aid in decision-making when a set of diverse regions with different properties must be considered. Moreover, the induced weighting vector and the distance measure mechanisms of the operator allow for the wider modeling of problems, including heterogeneous information and the complex attitudinal character of experts, when aiming for an ideal scenario. Along with analyzing the main properties of the IOWLAD operators, their families and specific cases, we also introduce some extensions, such as the induced generalized ordered weighted averaging IGOWLAD operator and Choquet integrals. We present the induced Choquet logarithmic distance averaging ICLD operator and the generalized induced Choquet logarithmic distance averaging IGCLD operator. Finally, an illustrative example is proposed, including real-world information retrieved from the United Nations World Statistics for global regions.
引用
收藏
页码:664 / 692
页数:29
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