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IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
Article . 2020 . Peer-reviewed
License: IEEE Copyright
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https://dx.doi.org/10.60692/86...
Other literature type . 2020
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https://dx.doi.org/10.60692/82...
Other literature type . 2020
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Article . 2020
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Comparing Performance Potentials of Classical and Intuitionistic Fuzzy Systems in Terms of Sculpting the State Space

مقارنة إمكانات الأداء للأنظمة الغامضة الكلاسيكية والحدسية من حيث نحت مساحة الدولة
Authors: Jerry M. Mendel; Imo Eyoh; Robert I. John;

Comparing Performance Potentials of Classical and Intuitionistic Fuzzy Systems in Terms of Sculpting the State Space

Abstract

Este artículo proporciona nuevas perspectivas independientes de la aplicación sobre el potencial de rendimiento de un sistema (I-) difuso intuicionista sobre un sistema (clásico) difuso Takagi-Sugeno-Kang (TSK). Lo hace extendiendo la escultura de las obras de estado-espacio de un sistema difuso TSK a un sistema difuso I. Demuestra que, para las funciones de membresía lineales por tramos (trapezoides y triángulos), un sistema I-fuzzy siempre tiene significativamente más particiones de reglas de primer orden del espacio de estados (la escultura gruesa del espacio de estados) que un sistema TSK fuzzy, y que algunos sistemas I-fuzzy también tienen más particiones de reglas de segundo orden del espacio de estados (la escultura fina del espacio de estados) que un sistema TSK fuzzy. La conjetura del autor es que para las funciones de pertenencia lineales a trozos (trapecios y triángulos): es la escultura gruesa (y posiblemente fina) siempre significativamente mayor del espacio de estados lo que proporciona un sistema I-fuzzy con el potencial de superar a un sistema TSK fuzzy, y que un sistema I-fuzzy tipo 1 tiene el potencial de superar a un sistema fuzzy tipo 2 de intervalos.

Cet article fournit de nouvelles perspectives indépendantes de l'application sur le potentiel de performance d'un système flou (I-) intuitionniste par rapport à un système flou (classique) Takagi-Sugeno-Kang (TSK). Il le fait en étendant la sculpture des œuvres de l'espace d'état d'un système flou TSK à un système flou I. Il démontre que, pour les fonctions d'appartenance linéaires par morceaux (trapèzes et triangles), un système flou en I a toujours beaucoup plus de partitions de règles de premier ordre de l'espace d'état - la sculpture grossière de l'espace d'état - qu'un système flou en TSK, et que certains systèmes flous en I ont également plus de partitions de règles de deuxième ordre de l'espace d'état - la sculpture fine de l'espace d'état - qu'un système flou en TSK. La conjecture de l'auteur est que pour les fonctions d'appartenance linéaires par morceaux (trapèzes et triangles) : c'est la sculpture toujours plus grossière (et peut-être fine) de l'espace d'état qui fournit un système flou en I avec le potentiel de surpasser un système flou en TSK, et qu'un système flou en I de type 1 a le potentiel de surpasser un système flou en intervalle de type 2.

This article provides new application-independent perspectives about the performance potential of an intuitionistic (I-) fuzzy system over a (classical) Takagi-Sugeno-Kang (TSK) fuzzy system. It does this by extending sculpting the state-space works from a TSK fuzzy system to an I-fuzzy system. It demonstrates that, for piecewise-linear membership functions (trapezoids and triangles), an I-fuzzy system always has significantly more first-order rule partitions of the state space-the coarse sculpting of the state space-than does a TSK fuzzy system, and that some I-fuzzy systems also have more second-order rule partitions of the state space-the fine sculpting of the state space-than does a TSK fuzzy system. It is the author's conjecture that for piecewise-linear membership functions (trapezoids and triangles): it is the always significantly greater coarse (and possibly fine) sculpting of the state space that provides an I-fuzzy system with the potential to outperform a TSK fuzzy system, and that a type-1 I-fuzzy system has the potential to outperform an interval type-2 fuzzy system.

تقدم هذه المقالة وجهات نظر جديدة مستقلة عن التطبيق حول إمكانات أداء نظام غامض حدسي (I -) على نظام غامض (كلاسيكي) Takagi - Sugeno - Kang (TSK). يقوم بذلك عن طريق توسيع نحت أعمال الدولة والفضاء من نظام غامض TSK إلى نظام I - fuzzy. يوضح أنه بالنسبة لوظائف العضوية الخطية الجزئية (شبه المنحرف والمثلثات)، يحتوي نظام I - fuzzy دائمًا على أقسام قواعد من الدرجة الأولى لمساحة الدولة - النحت الخشن لمساحة الدولة - أكثر بكثير من نظام TSK الغامض، وأن بعض أنظمة I - fuzzy تحتوي أيضًا على أقسام قواعد من الدرجة الثانية لمساحة الدولة - النحت الدقيق لمساحة الدولة - أكثر من نظام TSK الغامض. تخمين المؤلف هو أنه بالنسبة لوظائف العضوية الخطية الجزئية (شبه المنحرف والمثلثات): فإن النحت الخشن (وربما الدقيق) الأكبر دائمًا لمساحة الحالة هو الذي يوفر نظام I - fuzzy مع إمكانية التفوق على نظام TSK الغامض، وأن النظام الغامض من النوع 1 I لديه القدرة على التفوق على النظام الغامض من النوع 2.

Related Organizations
Keywords

Statistics and Probability, Artificial intelligence, Fuzzy Differential Equations and Uncertainty Modeling, Type-2 Fuzzy Sets, Defuzzification, Mathematical analysis, Interval Type-2 Fuzzy Logic, Artificial Intelligence, Fuzzy set operations, Fuzzy Rule-Based Systems, State (computer science), FOS: Mathematics, Type-2 Fuzzy Logic Systems and Applications, Neuro-Fuzzy Methods, Fuzzy Logic Systems, Fuzzy number, Statistics, Fuzzy rule, Neural Network Fundamentals and Applications, Computer science, Fuzzy logic, Algorithm, Fuzzy control system, Piecewise, Computer Science, Physical Sciences, Fuzzy set, State space, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Average
Top 10%
hybrid