구간값 모호집합 사이의 유사도 측정
0
조회
0
다운로드
3
인용
0
참고문헌
키워드
초록
본 논문에서는 모호집합의 상한과 하한을 각각 구간값 퍼지집합의 구간으로 표현한 구간값 모호집 합 사이의 유사도를 측정하는 방법을 제안한다. 우리가 제안한 유사도 측정은는 구간값 모호집합 사 이의 기하학적 거리와 구간값 모호집합 사이의 중심점 개념을 이용하여 유사도를 측정한다. 제안한 유사도 측정방법에 대한 세 가지 속성도 증명한다. 제안한 방법은 구간값 모호집합 사이의 유사정도 를 측정하는 유용한 방법을 제공한다.
Abstract
In this paper, we propose the measuring method between the interval-valued vague sets in which the upper bound and the lower bound of a vague set are represented as intervals of interval-valued fuzzy set respectively. Proposed method measure the similarity based on concepts of geometric distance and the center-of-gravity point of interval-valued vague set. We also prove three properties of the proposed similarity measure. It provides a useful way to measure the degree of similarity between interval-valued vague sets. Key Words : 유사도(similarity), 구간값 모호집합(interval-valued vague sets), 구간값 퍼지집합(interval-valued fuzzy sets
참고문헌 (13)
- S. M. Chen, "A New Approach to Handling Fuzzy Decision Making Problems", IEEE Tran. on SMC, 18(6), pp.1012~1016 (1988)
- C. H. Hsieh, "Similarity of Generalized Fuzzy Numbers with Graded Mean Integration Representation", Proc. of 8th int'l Fuzzy Systems Association World Congress, Taipei, Taiwan, pp.899~902 (1999)
- S. J. Chen, "A New Method to Measure The Similarity Between Fuzzy Numbers", Proc. of the 10th IEEE Int'l Conf. on Fuzzy Systems (2001)
- S. J. Chen, "A New Similarity Measure between Interval-valued Fuzzy Numbe", Proc. of the joint 2nd Int'l Conf. of Soft Computing and Intelligent Systems and 5th Int'l Symposium on Advanced Intelligent Systems (2004)
- S. H. Wei, "A New Similarity Measures Between Generalized Fuzzy Numbers", Proc. of the Joint Third Int'l Conf. on Soft Computing and Intelligent Systems and Seventh Symp. on Advanced Intelligent Systems, pp.315~320 (2006)
- S. J. Chen, "A New Method for Handling the Similarity Measure Problems of Interval-valued Fuzzy Numbers", Proc. of the 2nd Int'l Conf. on Neural Computation and the 3rd Int'l Conf. on Fuzzy Systems and Knowledge Discovery, pp.325~334 (2006)
- S. H. Wei, "A New Similarity Measures Between Interval-valued Trapezoidal Fuzzy Numbers Based on Geometric Distance and the Center-of-gravity-points", Proc. of the 2007 Sixth Int'l Conf. on Machine Learning and Cybernetics, pp.1412~1417 (2007)
- J. H. Chen, "A New Method Measure the Similarity between Interval-valued Fuzzy Numbers", Proc. of the Sixth Int'l Conf. on Machine Learning and Cybernetics, pp.1403~1408 (2007)
- Gau, Wen-Lung, "Vague Sets", IEEE Trans. on SMC, 23(2), pp.610~614 (1993)
- Chen, Shyi-Ming, "Arithmetic Operations Between Vague Sets", Proceedings of the Int'l Joint Conf. of CFSA, SOFT'95 on Fuzzy Theory and Applications, Taipei, Tai, pp.1995[DOI]
- Turksen, I. B, "Interval-valued Fuzzy Sets Based on Normal Forms", Fuzzy Sets and Systems, 20, pp.191~210 (1986)
- G. Deschrijver, "Generalized Arithmetic Operations in Interval-valued Fuzzy Set Theory", Jl. of Intelligent & Fuzzy Systems, 16(4), pp.265~271 (2005)
- S. J. Chen, "Fuzzy Risk analysis Based on Measures of Similarity Between Interval-valued Fuzzy Numbers", Computers and Mathematics with Applications, 55(8), pp.1670~1685 (2007)