Symmetrization Of Fuzzy Operators: Notes On Data Aggregation

Author(s):  
Wladyslaw Homenda ◽  
Witold Pedrycz
2020 ◽  
Vol 39 (3) ◽  
pp. 4319-4329
Author(s):  
Haibo Zhou ◽  
Chaolong Zhang ◽  
Shuaixia Tan ◽  
Yu Dai ◽  
Ji’an Duan ◽  
...  

The fuzzy operator is one of the most important elements affecting the control performance of interval type-2 (IT2) fuzzy proportional-integral (PI) controllers. At present, the most popular fuzzy operators are product fuzzy operator and min() operator. However, the influence of these two different types of fuzzy operators on the IT2 fuzzy PI controllers is not clear. In this research, by studying the derived analytical structure of an IT2 fuzzy PI controller using typical configurations, it is proved mathematically that the variable gains, i.e., proportional and integral gains of typical IT2 fuzzy PI controllers using the min() operator are smaller than those using the product operator. Moreover, the study highlights that unlike the controllers based on the product operator, the controllers based on the min() operator have a simple analytical structure but provide more control laws. Real-time control experiments on a linear motor validate the theoretical results.


2006 ◽  
Author(s):  
Tian He ◽  
Lin Gu ◽  
Liqian Luo ◽  
Ting Yan ◽  
John A. Stankovic ◽  
...  

2021 ◽  
pp. 097226292098394
Author(s):  
Kannan Perumal

The work ‘Corruption Measurements: Caught Between Conceptualizing the Phenomenon and Promoting New Governance Agenda?’ is a qualitative study based on reviewing the literature available on the subject. It starts with the introduction that explains the evolution of the idea of measuring corruption, its relevance to governance and associated theoretical issues. The topic, ‘Evolution of Corruption Measurements’ gives an overview about different corruption indices. While the topic ‘Challenges to Corruption Measurements’ briefly introduces the challenges faced by corruption measurements, the topics ‘Conceptualizing Corruption’ and ‘Methodological Issues’ give insight into the contentions faced by corruption measurements from different theoretical perspectives. Also, explained in these sections are how the corruption measurements have conceptualized corruption over the period of three decades; and how do they keep evolving their methods in order to become more relevant in policy advocacy. Issues associated with data aggregation also are explained in-depth in this work. This work demonstrates that though continuous methodological evolution and empirical research have helped corruption measurements to improve their acceptance level, the gap that exist between corruption control framework and practice will remain a challenge to address in future if corruption measurements do not genuinely account the contextual realities.


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