• Journal of the Korean Institute of Intelligent Systems
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• v.15 no.5
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• pp.521-526
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• 2005

The fuzzy entropy is proposed for measuring of uncertainty with the help of relation between distance measure and similarity measure. The proposed fuzzy entropy is constructed through a distance measure. In this study, Hamming distance measure is employed for a distance measure. Also a similarity measure is constructed through a distance measure for the measure of similarity between fuzzy sets or crisp sets and the proposed fuzzy entropies and similarity measures are proved.

• The Journal of the Korea Contents Association
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• v.2 no.4
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• pp.99-103
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• 2002

In this paper, we investigate for how to define a fuzzy measure by using the semi-normed fuzzy integral of a given measurable function with respect to another given fuzzy measure when t-seminorm is continuous. Let (X, F, g) be a fuzzy measure space, h$\in$L$^\circ$(X), and $\top$ be a continuous t-seminorm.. Then the set function $\nu$ defined by $\nu$(A)=$\int _A$h$\top$g for any $A\in$F is a fuzzy measure on (X, F).

• The Journal of Korean Institute of Communications and Information Sciences
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• v.30 no.9C
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• pp.854-859
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• 2005

We construct the fuzzy entropy for measuring of uncertainty with the help of relation between distance measure and similarity measure. Proposed fuzzy entropy is constructed through distance measure. In this study, the distance measure is used Hamming distance measure. Also for the measure of similarity between fuzzy sets or crisp sets, we construct similarity measure through distance measure, and the proposed 려zzy entropies and similarity measures are proved.

• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.4
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• pp.307-310
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• 2001

A measure of typicality associated with any fuzzy subset on a probability space is introduced. We will improve some results of Yager and consider limit of the measure of typicality of a fuzzy set with ,respect to a random sample.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.12a
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• pp.431-434
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• 2002

본 논문에서는 온라인 신문을 보는 사용자의 취향을 평가하고 취향에 맞는 인터페이스를 추천하는 시스템을 제안한다 신문사, 분류, 키워드 등의 평가요소에 대한 사용자 데이터의 중요도를 이용해 퍼지 측도$\square$적분으로 취향을 평가하여 해당되는 인터페이스를 제공한다. 또한 추천 받은 인터페이스에 대한 사용자의 만족도를 요소의 선택 빈도와 기사 읽은 시간 그리고 읽은 기사의 수로부터 추론하여 평가하고, 추론된 만족도에 의해 중요도를 변경시킴으로써 변화하는 사용자의 취향에 적응하는 시스템을 제안한다.

• Proceedings of the Korean Information Science Society Conference
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• 2003.04c
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• pp.389-391
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• 2003

컴퓨터 학습의 군집화는 주어진 데이터를 서로 유사한 몇 개의 집단으로 묶는 작업을 수행한다. 군집화를 위한 유사도 결정을 위한 측도는 많은 기법들에서 매우 다양한 측도들이 사용되고 또한 연구되어 왔다. 하지만 군집화의 결과에 대한 성능측정에 대한 객관적인 기준 설정이 어렵기 때문에 군집화 결과에 대한 해석은 매우 주관적이고 애매한 경우가 많다. 퍼지 군집화는 이러한 애매한 군집화 문제에 있어서 융통성 있는 군집 결정 방안을 제시해 준다. 각 개체들이 특정 군집에 속하게 될 퍼지 멤버 함수값을 원소로 하는 유사도 행렬을 통하여 군집화를 수행한다. 본 논문에서는 베이지안 학습을 통하여 군집화를 위한 퍼지 멤버 함수값을 구하였다. 본 연구에서는 최적의 퍼지 군집화 수행을 위하여 베이지안 학습 기반의 퍼지 규칙을 추출하였다. 인공적으로 만든 데이터와 기존의 기계 학습 데이터를 이용한 실험을 통하여 제안 방법의 성능을 확인하였다.

• The KIPS Transactions:PartB
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• v.8B no.5
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• pp.463-468
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• 2001

We propose a new similarity measure based on relative membership function (RMF). In this paper, the RMF is suggested to represent the relativity between fuzzy subsets easily. Since the shape of the RMF is determined according to the values of its parameters, we can easily represent the relativity between fuzzy subsets by adjusting only the values of its parameters. Hence, we can easily reflect the relativity among individuals or cultural differences when we represent the subjectivity by using the fuzzy subsets. In this case, these parameters may be regarded as feature points for determining the structure of fuzzy subset. In the sequel, the degree of similarity between fuzzy subsets can be quickly computed by using the parameters of the RMF. We use Euclidean distance to compute the degree of similarity between fuzzy subsets represented by the RMF. In the meantime, we present a new linguistic approximation method as an application area of the proposed similarity measure and show its numerical example.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2008.04a
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• pp.403-410
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• 2008

This paper is cinderned with applying fussy measures and fuxxy integrals to analyze public attitude towards the use od manual control of traffic. To this end, a questionare on the use od manual control of traffic is set up and data are collected in expert, and layman. Factor analysis is performed to get the primary structure of public attitude. It is shown that the attitude of the responders to the questionare in each group is well explained with its hierarchical structure obtained by fuzzy measure analysis.

• Journal of Digital Contents Society
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• v.9 no.1
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• pp.53-60
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• 2008

Based on similarities between fuzzy set theory and mathematical morphology, Grabish proposed a fuzzy morphology based on the Sugeno fuzzy integral. This paper proposes a fuzzy mathematical morphology based on the defuzzification of the fuzzy measure which corresponds to fuzzy integral. Its process makes a fuzzy set used as a measure of the inclusion of each fuzzy measure for subsets. To calculate such an integral a $\lambda$-fuzzy measure is defined which gives every subsets associated with the universe of discourse, a definite non-negative weight. Fast implementable definitions for erosion and dilation based on the fuzzy measure was given. An application for robust skeletonization of two-dimensional objects was presented. Simulation examples showed that the object reconstruction from their skeletal subsets that can be achieved by using the proposed was better than by using the binary mathematical morphology in most cases.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2004.10a
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• pp.339-342
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• 2004

질적인 속성을 양적인 계열로 전환하여 측정할 수 있는 도구를 개발하는 과정에서 서스톤, 리커트, 어의분별 및 커트만 척도 등을 많이 활용한다. 이 측도들 중 우리는 리커트 척도에 대해 알아보고, 응답이 애매한 리커트 척도의 자료를 퍼지화하는 방법을 제안하고 그 자료에 대한 분석 방법을 연구하려고 한다.