계층퍼지적분을 이용한 LRT 노선 및 시스템 대안 평가에 관한 연구

박갑열,원제무,이수일,김태호 대한국토·도시계획학회 2002 國土計劃 Vol.37 No.7

In the previous studies by other researchers they introduced the Fuzzy Integral method or merged AHP and fuzzy measure for the analysis of the overlaps among the evaluation object. But they need more analyses in terms of transformation of the probability measure into fuzzy measure which fits for the additivity and overlapping coefficient(λ) which affects to the fuzzy measure. Considering these matters this paper deals that, ⅰ) clarifying the relation between the fuzzy and probability measure ⅱ) calculation directly the family of fuzzy measure from the overlapping coefficient and probability measure, As a case study in order to apply established methodology and nine alternatives that are compound by LRT lines and systems are selected in Yongin. The fuzzy theories are successfully applied to assessment of LRT line and systems. The evaluation technique using fuzzy logic has a potential for assessing both quantitative and qualitative criteria by which transportation project can be evaluated.

Fuzzy Measure를 이용한 화재감지기의 기본설계

백동현,김기화 (사단법인)韓國火災 ·消防學會 1996 한국화재소방학회논문지 Vol.10 No.3

본 논문은 Fuzzy Measure를 이용한 화재감지기의 사고 판정을 결정하는 방법을 제시한 것으로 Belief measere를 기본으로 하여 Dempster의 결합 Rule을 사용하였다. 감지기에서의 화재 판정 결정은 화재(F), 비화재(N)의 2가지로 하였으며, 이를 판정하기위해 현재 사용되고 있는 열, 연기감지기에 대한 정정값에 대해 Fuzzy Rule을 적용하여 시뮬레이션 하였다. 그 결과 Fuzzy Rule의 수를 많이 적용 할수록, 최종 동작은 Bel(F)의 값을 높게 할수록 확실한 화재 판별이 가능함을 입증 하였다. This paper present the way the fire detector determines whether a fire has broken out or not using the fuzzy measure. This method is based on Dempster's combination rule using the belief measure. The detector indicate a 'Fire'(F) or 'Nonfire'(N) when it determines whether a fire has broken out or not. To determine this, the fuzzy rule is applied in the setting value for the heat and smoke detector which is used. As a result, It is proved that the final decision can be determined more exactly whether a fire has broken out or not in proportion to the frequency of the fuzzy measure and value of Bel(F)

A Novel Similarity Measure for Generalized Trapezoidal Fuzzy Numbers and its Application to Decision-Making

Yixiang Zhou 보안공학연구지원센터 2016 International Journal of u- and e- Service, Scienc Vol.9 No.3

Similarity measures of fuzzy numbers have been widely applied in various areas. In the last decade, many similarity measures of generalized fuzzy numbers were proposed. However, there are two main limitations in existing similarity measures: 1) they cannot correctly calculate the degree of similarity between two generalized trapezoidal fuzzy numbers in some cases; and 2) the definitions of recently developed similarity measures are complicated and difficult to interpret. In this paper, a novel approach to similarity measurement between generalized trapezoidal fuzzy numbers is proposed. The proposed similarity measure has a simple definition and is easier to understand intuitively. Furthermore, we analyze its properties and compare it with existing similarity measures. The results show that the proposed measure outperforms existing similarity measures. Finally, we apply the proposed similarity measure to develop a fuzzy-logic-based approach for new product go/nogo decision-making at the front end. The proposed fuzzy software quality evaluation method is more flexible and more intelligent than existing methods due to the fact that it considers the degrees of confidence of evaluators’ opinions.

Analysis between Similarity and Dissimilarity Measure for Fuzzy Sets

이상혁(Sang-Hyuk Lee),김상진(Sangjin Kim),김채형(Jaehyung Kim) 한국지능시스템학회 2008 한국지능시스템학회 학술발표 논문집 Vol.18 No.2

In this paper, we have surveyed the relation between similarity measure and dissimilarity measure for fuzzy sets. First, we study the entropy for fuzzy set and similarity for corresponding crisp set. By the obtaining result, we pointed out that the similarity between fuzzy set and corresponding complementary fuzzy set satisfy fuzzy entropy. We also found out that the summation of similarity and dissimilarity measure between fuzzy set and complementary fuzzy set constitute total information of fuzzy set itself. With the obtained result we have extended the results to two data group fuzz sets. In the process of designing similarity measure and dissimilarity, we also proved the usefulness of proposed measures. We can also verified and discussed the one-to-one correspondence characteristics between similarity measure and dissimilarity measure(entropy).

Similarity Measure Construction with Fuzzy Entropy and Distance Measure

Sang-Hyuk Lee 한국지능시스템학회 2005 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.5 No.4

The similarity measure is derived using fuzzy entropy and distance measure. By the relations of fuzzy entropy, distance measure, and similarity measure, we first obtain the fuzzy entropy. And with both fuzzy entropy and distance measure, similarity measure is obtained. We verify that the proposed measure become the similarity measure.

A note on distance measure and similarity measure defined by Choquet integral on interval-valued fuzzy sets

장이채(Lee Chae Jang) 한국지능시스템학회 2007 한국지능시스템학회논문지 Vol.17 No.4

Interval-valued fuzzy sets were suggested for the first time by Gorzafczany(1983) and Turksen(1986). Based on this, Zeng and Li(2006) introduced concepts of similarity measure and entropy on interval-valued fuzzy sets which are different from Bustince and Burillo(1996). In this paper, by using Choquet integral with respect to a fuzzy measure, we introduce distance measure and similarity measure defined by Choquet integral on interval-valued fuzzy sets and discuss some properties of them. Choquet integral is a generalization concept of Lebesgue inetgral, because the two definitions of Choquet integral and Lebesgue integral are equal if a fuzzy measure is a classical measure.

Calculation of Data Reliability with Entropy for Fuzzy Sets

Wang, Hongmei,Lee, Sang-Hyuk Korean Institute of Intelligent Systems 2009 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.9 No.4

Measuring uncertainty for fuzzy sets has been carried out by calculating fuzzy entropy. Fuzzy entropy of fuzzy set is derived with the help of distance measure. The distance proportional value between the fuzzy set and the corresponding crisp set is designed as the fuzzy entropy. The usefulness is verified by proving the proposed entropy. Generally, fuzzy entropy contains the complementary characteristics that the fuzzy entropies of fuzzy set and complementary fuzzy set have the same entropies. Discrepancy that low fuzzy entropy did not guarantee the data certainty was overcome by modifying fuzzy entropy formulation. Obtained fuzzy entropy is analyzed and discussed through simple example.

Calculation of Data Reliability with Entropy for Fuzzy Sets

Hongmei Wang,Sanghyuk Lee 한국지능시스템학회 2009 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.9 No.4

Measuring uncertainty for fuzzy sets has been carried out by calculating fuzzy entropy. Fuzzy entropy of fuzzy set is derived with the help of distance measure. The distance proportional value between the fuzzy set and the corresponding crisp set is designed as the fuzzy entropy. The usefulness is verified by proving the proposed entropy. Generally, fuzzy entropy contains the complementary characteristics that the fuzzy entropies of fuzzy set and complementary fuzzy set have the same entropies. Discrepancy that low fuzzy entropy did not guarantee the data certainty was overcome by modifying fuzzy entropy formulation. Obtained fuzzy entropy is analyzed and discussed through simple example.

신뢰성 있는 정보의 추출을 위한 퍼지집합의 유사측도 구성

이상혁,Lee Sang-Hyuk 한국통신학회 2005 韓國通信學會論文誌 Vol.30 No.9C

모호함의 측도를 위하여 퍼지 엔트로피와 거리측도 그리고 유사측도와의 관계를 이용하여 새로운 퍼지 측도를 제안하였다. 제안된 퍼지 엔트로피는 거리측도를 이용하여 구성된다. 거리측도는 일반적으로 사용되는 해밍 거리를 이용하였다. 또한 집합사이의 유사성을 측정하기 위한 유사측도를 거리 측도를 이용하여 구성하였고, 제안한 퍼지 엔트로피와 유사측도를 증명을 통하여 타당성을 확인하였다. 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.

퍼지관계방정식을 이용한 계층퍼지분석법에 관한 연구

류형근(H. G. Ryu),이철영(C. Y. Lee) 한국항해항만학회 2000 한국항해항만학회 학술대회논문집 Vol.3 No.1

Recently, Fuzzy theory has been applied in evaluation problem. Fuzzy evaluation based on Fuzzy theory can accommodate fuzziness of judgement with people through introducing Fuzzy measure. Representative Fuzzy evaluation is judgement with people through introducing Fuzzy measure. Representative Fuzzy evaluation is Fuzzy Integral using Fuzzy measure. Definite methodology using Fuzzy Integral HFI(Hierarchical Fuzzy Integrals), HFEA(Hierarchical Fuzzy Evaluation Algorithm), HFP(Hierarchical Fuzzy Process), etc. In this paper, we deal with problem identifying evaluation value using Fuzzy Relation Equation at these Fuzzy evaluation. We verify relation between Input data and Output data through @-operation and apply this to HFP. And that we verify evaluation value which objects of evaluation are able to possess.