• 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.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2008.04a
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• pp.329-332
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• 2008

Type-2 퍼지 집합은 언어적인 불확실성을 다루기 위하여 Zadeh에 의해 제안되었고 Mendel과 Kamik에 의해 이론이 체계화 되었다. TSK 퍼지 로직 시스템(TSK Fuzzy Logic Systems; TSK FLS)은 Mamdni 모델과 함께 가장 널리 사용되는 퍼지 로직 시스템이다. 본 논문에서는 Type-2 퍼지 집합을 이용하여 전반부 멤버쉽 함수를 구성하고 후반부 다항식 함수를 상수와 1차식, 2차식으로 확장한 다항식 Type-2 TSK FLS 설계한다. 또한 가스로 공정 데이터에 응용하여 후반부 다항식의 변화에 따른 Type-2 TSK FLS의 특징을 비교 분석 할 뿐 만 아니라 테스트 데이터에 노이즈를 첨가하여 노이즈에 따른 Type-l TSK FLS과 Type-2 TSK FLS의 특성을 분석한다.

• Journal of the Korean Institute of Intelligent Systems
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• v.24 no.5
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• pp.529-535
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• 2014

In this paper, we propose a hybrid approach towards multiple kernels interval type-2 possibilistic fuzzy C-means(PFCM) based on interval type-2 possibilistic fuzzy c-means(IT2PFCM) and possibilistic fuzzy c-means using multiple kernels( PFCM-MK). In case of noisy data or overlapping cluster prototypes, fuzzy C-means gives poor performance in comparison to possibilistic fuzzy C-means(PFCM). Moreover, to address the uncertainty associated with fuzzifier parameter m, interval type-2 possibilistic fuzzy C-means(PFCM) is used. Most of the practical data available are complex and non-linearly separable. In such cases using Gaussian kernels proves helpful. Therefore, in order to overcome all these issues, we have integrated multiple kernels possibilistic fuzzy C-means(PFCM) into interval type-2 possibilistic fuzzy C-means(IT2PFCM) and propose the idea of multiple kernels based interval type-2 possibilistic fuzzy C-means(IT2PFCM-MK).

• Proceedings of the KIEE Conference
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• 2009.07a
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• pp.1871_1872
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• 2009

본 논문 에서는 Type-2 퍼지 논리 시스템을 설계하고, 불확실한 정보를 갖는 입력 데이터에 대하여 Type-1 퍼지 논리 시스템과 성능을 비교한다. Type-1 퍼지 논리 시스템은 외부 잡음에 민감한 단점을 가지고 있는 반면, Type-2 퍼지 논리 시스템은 불확실한 정보를 잘 표현 할 수 있다. 따라서 Type-2 퍼지 논리 시스템을 이용하여 이러한 단점을 극복하고자 2가지의 모델을 설계한다. 첫 번째 모델은 규칙의 전 후반부가 Type-1 퍼지 집합으로 구성된 Type-1 퍼지 논리 시스템을 설계 한다. 두 번째는 규칙 전 후반부에 Type-2 퍼지 집합으로 구성된 Type-2 퍼지 논리 시스템을 설계한다. 여기서 규칙 전반부의 입력 공간 분할 및 FOU(Footprint Of Uncertainty)형성에는 FCM(Fuzzy C_Means) clustering 방법을 사용하고, 입자 군집 최적화(Particle Swarm Optimization) 알고리즘을 사용하여 최적의 파라미터를 설계한다. 본 논문 에서는 또한 입력 데이터에 인위적으로 가하는 노이즈에 따른 각각 모델의 성능을 비교한다. 마지막으로 비선형 모델 평가에 주로 사용되는 NOx 데이터를 제안된 모델에 적용하고, 실험을 통하여 노이즈가 첨가되고, 불확실한 정보를 다루기에 Type-1 퍼지 논리 시스템 보다 Type-2 퍼지 논리 시스템이 효율적이라는 것을 보인다.

• Proceedings of the KIEE Conference
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• 2008.10b
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• pp.251-252
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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 후반부를 1차 및 2차 함수식으로 나타내며 Mamdani 모델과 함께 가장 널리 사용되는 모델이다. 본 연구의 Interval Type-2 TSK FLS은 전반부에서 Type-2 퍼지 집합을 이용하고 후반부는 계수가 Type-1 퍼지집합인 1차식을 사용한다. 또한 전반부는 가우시안 형태의 Type-2 멤버쉽 함수를 사용하며, 오류역전파 학습알고리즘을 사용하여 파라미터들을 최적화 한다. 또한 학습에 앞서 PSO(Particle Swarm Optimization) 알고리즘을 사용하여 최적 학습률을 찾아 모델의 학습능력을 보다 효율적으로 한다. 본 논문에서는 Type-1과 Type-2 FLS의 성능을 가스로 공정 데이터를 적용하여 두 모델의 성능을 비교하고 노이즈를 추가한 데이터를 이용하여 노이즈에 대한 성능도 비교 분석한다.

• Proceedings of the KIEE Conference
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• 2008.07a
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• pp.1769-1770
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• 2008

Type-2 퍼지 논리 시스템은 기존의 Type-1 퍼지 논리 시스템으로부터 확장된 개념으로서 언어적 불확실성에 대한 개념을 부곽시킨다. Type-2 퍼지 논리 시스템의 가장 큰 특징은 멤버쉽 함수에 Footprint Of Uncertainty(FOU)을 사용하여 불확실성을 표현한다. Type-2 퍼지 논리 시스템은 그것의 rule-base 안에서 최소한 한 개 이상의 Type-2 멤버쉽 함수(MF)를 포함한다. Type-2 퍼지 로직 제어기는 MF가 FOU를 포함하여 계산량이 많은 반면에 외란에 대하여 강인한 성격을 지닌다. 따라서 본 논문에서는 비선형성이 강한 볼빔 시스템에 Type-1과 Type-2 퍼지 로직 제어기를 설계하고 외란에 대하여 견실한 제어기를 보인다.

• Bulletin of the Korean Mathematical Society
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• v.45 no.3
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• pp.457-466
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• 2008

Let R be a right near-ring. An R-group of type-5/2 which is a natural generalization of an irreducible (ring) module is introduced in near-rings. An R-group of type-5/2 is an R-group of type-2 and an R-group of type-3 is an R-group of type-5/2. Using it $J_{5/2}$, the Jacobson radical of type-5/2, is introduced in near-rings and it is observed that $J_2(R){\subseteq}J_{5/2}(R){\subseteq}J_3(R)$. It is shown that $J_{5/2}$ is an ideal-hereditary Kurosh-Amitsur radical (KA-radical) in the class of all zero-symmetric near-rings. But $J_{5/2}$ is not a KA-radical in the class of all near-rings. By introducing an R-group of type-(5/2)(0) it is shown that $J_{(5/2)(0)}$, the corresponding Jacobson radical of type-(5/2)(0), is a KA-radical in the class of all near-rings which extends the radical $J_{5/2}$ of zero-symmetric near-rings to the class of all near-rings.

• 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.

• Journal of the Korean Society of Fisheries and Ocean Technology
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• v.51 no.3
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• pp.375-386
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• 2015

The study aims at a selective effect of the Grid and Window net in the shrimp beam trawl. The experimental trawling of the Proto type, Grid type and Grid and Window net type was performed in a sea area of Geo-je and Tong-yeong from Mar, 2006 to Apr, 2010. The obtained results are as follows; Catch per unit area (Number) of the Proto type net and Grid type net were $0.18/m^2$, $0.23/m^2$, respectively. The Grid type demonstrated 2.4% lower bycatch rate than the proto type (6.6% vs 4.2%, respectively). In addition, in terms of total weight, the bycatch rate of Grid type was 7.6% lower than the proto type (50.2% vs 42.6%, respectively). In the comparison of shrimp catch, the Proto type demonstrated better haul outcome ($0.02case/m^2$) than the Grid & Window type ($0.02case/m^2$). The Grid & Window net type demonstrated 16.4% lower bycatch rate than the Proto type (32.2% vs 48.6%, respectively). In addition, in terms of total weight, the bycatch rate of Grid & Window net type was 8.3% lower than the Proto type (85.9% vs 94.2% respectively).

• Journal of Preventive Medicine and Public Health
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• v.15 no.1
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• pp.115-123
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• 1982

The systematic school dental health programmes have been recognized as one of the most effective national dental health measures. This study was conducted to estimate the number of dentists required for the systematic school dental programmes in Korea applying the methodology recommended by WHO. Information necessary for the study was obtained by a mass oral examination to the 1241 primary and middle school students in Kang Wha area. First and 6th grade students from primary school and 3rd year students from middle school were specifically selected for the examination. The results are summarized below: 1) For the Type I program recommended by WHO, 1.8 dentists per 10,000 primary school children were estimated to be necessary. For the Type II program 2.5 dentists, Type III program 2.0 dentists, Type IV program 3.6 dentists per 10,000 primary school children were estimated to be necessary. In order to extend the systematic school dental programmes to the middle students, 2.0 dentists for the Type I program and 2.4 dentists for the Type II program 2.2 dentists for the Type III program, 3.6 dentists for the Type IV program per 10,000 students were estimated to be necessary. 2) If we assume that prophylaxis are done by hygienist, for the Type I program 1.3 dentists and 0.5 hygienist, for the Type II program 1.8 dentists and 0.7 hygienist, for the Type III program 1.3 dentists and 0.7 hygienist, for the Type III program 2.2 dentists and 1.4 hygienists per 10,000 primary school students were estimated to be necessary. In order to extend this program to the middle school, 1.4 dentists and 0.6 hygienist for the Type I program, 1.6 dentists and 0.8 hygienist for the Type II program, 1.4 dentists and 0.8 hygienist for the Type III program, 2.2 dentists and 1.4 hygienist for the Type IV program per 10.000 students were estimated to be necessary.