A NEW SIMILARITY MEASURE BETWEEN INTERVAL-VALUED TRAPEZOIDAL FUZZY NUMBERS BASED ON GEOMETRIC DISTANCE AND THE CENTER-OF-GRAVITY-POINTS

摘要：

In this paper, a new similarity measure between interval-valued trapezoidal fuzzy numbers is proposed.It combines the concepts of geometric distance, the perimeter, the height and the center-of-gravity-points of interval-valued fuzzy numbers for calculation the degree of similarity between interval-valued trapezoidal fuzzy numbers.We also prove three properties of the proposed similarity measure.We use five sets of interval-valued trapezoidal fuzzy numbers to compare the calculating results of the proposed method with the existing methods.The proposed method can overcome the drawbacks of the existing methods.It provides a useful way to measure the degree of similarity between interval-valued trapezoidal fuzzy numbers.

关键词： Similarity measures Interval-valued trapezoidal fuzzy numbers Geometric distance Center-of-gravity-points

作者: SHIH-HUA WEI SHYI-MING CHEN

作者单位: Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, R.O.C.

会议类型: 国际会议

会议名称: 2007 International Conference on Machine Learning and Cybernetics(IEEE第六届机器学习与控制论国际会议)

会议地点: 香港

会议语种:英文

页码: 1412-1417

在线出版日期: 2007-08-19（万方平台首次上网日期，不代表论文的发表时间）