• Title/Summary/Keyword: Interval Type-2 Fuzzy Logic

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Design and Analysis of Interval Type-2 Fuzzy Logic System (Interval Type-2 Fuzzy논리 집합의 설계 및 분석)

  • Kim, Dae-Bok;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.155-156
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    • 2008
  • In this paper, an interval type-2 fuzzy logic system is designed and compared with a type-1 fuzzy logic system. To compare performance of a type-1 fuzzy logic system with the type-2 fuzzy logic system, we apply type-1 fuzzy logic system and type-2 system to modeling the noised data. Membership function of interval type-2 fuzzy logic system is designed consequents of rules including uncertainty. For general type-2 fuzzy logic system computational complexity is severe. On the other hand, theoretic and arithmetic computations for interval type-2 fuzzy logic systems are very simple.

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Prediction System Design based on An Interval Type-2 Fuzzy Logic System using HCBKA (HCBKA를 이용한 Interval Type-2 퍼지 논리시스템 기반 예측 시스템 설계)

  • Bang, Young-Keun;Lee, Chul-Heui
    • Journal of Industrial Technology
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    • v.30 no.A
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    • pp.111-117
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    • 2010
  • To improve the performance of the prediction system, the system should reflect well the uncertainty of nonlinear data. Thus, this paper presents multiple prediction systems based on Type-2 fuzzy sets. To construct each prediction system, an Interval Type-2 TSK Fuzzy Logic System and difference data were used, because, in general, it has been known that the Type-2 Fuzzy Logic System can deal with the uncertainty of nonlinear data better than the Type-1 Fuzzy Logic System, and the difference data can provide more steady information than that of original data. Also, to improve each rule base of the fuzzy prediction systems, the HCBKA (Hierarchical Correlation Based K-means clustering Algorithm) was applied because it can consider correlationship and statistical characteristics between data at a time. Subsequently, to alleviate complexity of the proposed prediction system, a system selection method was used. Finally, this paper analyzed and compared the performances between the Type-1 prediction system and the Interval Type-2 prediction system using simulations of three typical time series examples.

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Design of Multiple Fuzzy Prediction System based on Interval Type-2 TSK Fuzzy Logic System (Interval Type-2 TSK 퍼지논리시스템 기반 다중 퍼지 예측시스템 설계)

  • Bang, Young-Keun;Lee, Chul-Heui
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.3
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    • pp.447-454
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    • 2010
  • This paper presents multiple fuzzy prediction systems based on an Interval type-2 TSK fuzzy Logic System so that the uncertainty and the hidden characteristics of nonlinear data can be reflected more effectively to improve prediction quality. In proposed method, multiple fuzzy systems are adopted to handle the nonlinear characteristics of data, and each of multiple system is constructed by using interval type-2 TSK fuzzy logic because it can deal with the uncertainty and the characteristics of data better than type-1 TSK fuzzy logic and other methods. For input of each system, the first-order difference transformation method are used because the difference data generated from it can provide more stable statistical information to each system than the original data. Finally, computer simulations are performed to show the effectiveness of the proposed method for two typical time series examples.

Comparing type-1, interval and general type-2 fuzzy approach for dealing with uncertainties in active control

  • Farzaneh Shahabian Moghaddam;Hashem Shariatmadar
    • Smart Structures and Systems
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    • v.31 no.2
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    • pp.199-212
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    • 2023
  • Nowadays fuzzy logic in control applications is a well-recognized alternative, and this is thanks to its inherent advantages. Generalized type-2 fuzzy sets allow for a third dimension to capture higher order uncertainty and therefore offer a very powerful model for uncertainty handling in real world applications. With the recent advances that allowed the performance of general type-2 fuzzy logic controllers to increase, it is now expected to see the widespread of type-2 fuzzy logic controllers to many challenging applications in particular in problems of structural control, that is the case study in this paper. It should be highlighted that this is the first application of general type-2 fuzzy approach in civil structures. In the following, general type-2 fuzzy logic controller (GT2FLC) will be used for active control of a 9-story nonlinear benchmark building. The design of type-1 and interval type-2 fuzzy logic controllers is also considered for the purpose of comparison with the GT2FLC. The performance of the controller is validated through the computer simulation on MATLAB. It is demonstrated that extra design degrees of freedom achieved by GT2FLC, allow a greater potential to better model and handle the uncertainties involved in the nature of earthquakes and control systems. GT2FLC outperforms successfully a control system that uses T1 and IT2 FLCs.

Design and Analysis of Interval Type-2 Fuzzy Logic System by Means of Genetic Algorithms (유전자 알고리즘에 의한 Interval Type-2 TSK Fuzzy Logic System의 설계 및 해석)

  • Kim, Dae-Bok;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2008.10b
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    • pp.249-250
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    • 2008
  • 본 논문에서는 Interval Type-2 TSK 퍼지 논리 시스템을 설계하고 기존의 Type-1 TSK 퍼지 논리 시스템과 비교 분석한다. Type-1 TSK 퍼지 논리 시스템과 Interval Type-2 TSK 퍼지 논리 시스템을 비교하기 위해 노이즈에 영향을 받은 목적 데이터를 사용한다. 유전자 알고리즘을 사용하여 전반부의 중심값의 학습률과 후반부 계수값의 학습률을 결정한다.

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Comparative Study on Type-2 and Type-1 TSK FLS. (Type-2와 Type-1 TSK FLS의 비교 연구)

  • Ji, Gwang-Hui;O, Seong-Gwon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.321-324
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    • 2008
  • Type-2 퍼지 집합은 Type-1 퍼지 집합에서는 다루기 어려운 언어적인 불확실성을 더욱 효과적으로 다룰 수 있다. TSK 퍼지 로직 시스템(TSK Fuzzy Logic Systems; TSK FLS)은 Mamdani 모델과 함께 가장 널리 사용되는 FLS이다. 본 연구의 Interval Type-2 TSK FLS 모델은 전반부에서 Type-2 퍼지 집합을 이용하고 후반부는 계수가 상수인 1차식을 사용한다. 전반부의 파라미터는 오류역전파 방법(Back-propagation)을 통한 학습으로 결정되고, 후반부 파라미터(계수)들은 Least squre method(LSM)를 사용하여 결정된 값을 사용하여 모델을 구축한다. 본 논문에서는 Type-1 TSK FLS과 Type-2 TSK FLS의 성능을 가스로 공정 데이터를 적용하여 비교 분석한다. 또한 랜덤 화이트 가우시안 노이즈를 추가한 테스트 데이터를 사용하여 노이즈에 대한 성능을 분석한다.

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Design of Nonlinear Model by Means of Interval Type-2 Fuzzy Logic System (Interval Type-2 퍼지 논리 시스템 기반의 비선형 모델 설계)

  • Kim, In-Jae;O, Seong-Gwon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.317-320
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    • 2008
  • 본 논문에서는 Type-1 퍼지 논리 시스템과 Type-2 퍼지 논리 시스템을 설계하고, 불확실한 정보를 갖는 입력 데이터에 대하여 각각의 성능을 비교한다. Type-1 퍼지 논리 시스템은 외부잡음에 민감한 단점을 가지고 있는 반면, Type-2 퍼지 논리 시스템은 불확실한 정보를 잘 표현할 수 있으며 효율적으로 취급한다. 따라서 Type-2 퍼지 논리 시스템을 이용하여 이러한 단점을 극복하고자 2가지의 모델을 설계한다. 첫 번째 모델은 규칙의 전 ${\cdot}$ 후반부가 불확실성을 표현 할 수 없는 Type-1 퍼지 집합으로 구성된 Type-1 퍼지 논리 시스템을 설계한다. 두 번째는 규칙 후반부만 Type-2 퍼지 집합으로 구성한 두가지의 Type-2 퍼지 논리 시스템을 설계한다. 여기서 규칙 전반부의 입력 공간 분할에는 Min-Max 방법의 균등분할을 사용하고, 규칙 후반부 멤버쉽 함수의 중심 결정에는 입자 군집 최적화(Particle Swarm Optimization) 알고리즘을 사용하여 동정한다. 또한 입력 데이터에 인위적으로 가하는 노이즈의 정도에 따른 각각 모델의 성능을 비교한다. 마지막으로 비선형 모델 평가에 주로 사용되는 가스로 시계열 데이터를 제안된 모델에 적용하고, 실험을 통하여 불확실한 정보를 다루기에 Type-1 퍼지 논리 시스템 보다 Type-2 퍼지 논리 시스템이 효율적이라는 것을 보인다.

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Interval Type-2 Fuzzy Logic Control System of Flight Longitudinal Motion (항공기 종 제어를 위한 Interval Type-2 퍼지논리 제어시스템)

  • Cho, Young-Hwan;Lee, Hong-Gi;Jeon, Hong-Tae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.2
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    • pp.168-173
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    • 2015
  • The flight control of aircraft, which has nonlinear time-varying dynamic characteristics depending on the various and unexpected external conditions, can be performed on two motions: longitudinal motion and lateral motion. In the longitudinal motion control of aircraft, pitch and trust are major control parameters and roll and yaw are control ones in the lateral motion control. Until now, a number of efficient and reliable control schemes that can guarantee the stability and maneuverability of the aircraft have been developed. Recently, the intelligent flight control scheme, which differs from the conventional control strategy requiring the various and complicate procedures such as the wind tunnel and environmental experiments, has attracted attention. In this paper, an intelligent longitudinal control scheme has been proposed utilizing Interval Type-2 fuzzy logic which can be recognized as a representative intelligent control methodology. The results will be verified through computer simulation with a F-4 jet fighter.

Design of Interval Type-2 TSK Fuzzy Inference System (Interval Type-2 TSK 퍼지 추론 시스템의 설계)

  • Ji, Kwang-Hee;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1849-1850
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    • 2008
  • Type-2 퍼지 집합은 Type-1 퍼지 집합의 확장으로 Type-1 퍼지 집합으로는 다루기 힘든 언어적인 불확실성을 다루기 위해 고안되었다. 대표적인 퍼지 논리 시스템(Fuzzy Logic System; FLS)으론 Mamdani FLS 모델과 TSK FLS모델이 있다. 본 논문에서는 Interval Type-2 TSK FLS를 구성한다. FLS 구성을 위한 전반부는 가우시안 형태의 Type-2 멤버쉽 함수를 사용하며, 전.후반부 파라미터들은 오류역전파 알고리즘을 통한 학습으로 결정한다. 본 논문에서는 Type-1 TSK FLS와 Interval Type-2 TSK FLS를 설계하고 가스로 공정 데이터에 적용하여 성능을 비교 분석한다. 또한 노이즈를 추가한 데이터들을 통하여 노이즈에 대한 성능도 비교 분석한다.

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Lateral Control of High Speed Flight Based on Type-2 Fuzzy Logic (Type-2 Fuzzy logic에 기반 한 고속 항공기의 횡 운동 제어)

  • Song, Jin-Hwan;Jeon, Hong-Tae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.5
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    • pp.479-486
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    • 2013
  • There exist two major difficulties in developing flight control system: nonlinear dynamic characteristics and time-varying properties of parameters of aircraft. Instead of the difficulties, many high reliable and efficient control methodologies have been developed. But, most of the developed control systems are based on the exact mathematical modelling of aircraft and, in the absence of such a model, it is very difficult to derive performance, robustness and nominal stability. From these aspects, recently, some approaches to utilizing the intelligent control theories such as fuzzy logic control, neural network and genetic algorithm have appeared. In this paper, one advanced intelligent lateral control system of a high speed fight has been developed utilizing type-2 fuzzy logic, which can deduce the uncertainty problem of the conventional fuzzy logic. The results will be verified through computer simulation.