CAJ | 학술논문

定义了区间直觉模糊集相似度的概念,并且基于Hamming距离、标准化的Hamming距离、加权的Hamming Euclidean距离、Euclidean距离、标准化的Euclidean距离、加权的Euclidean距离等,定义了一些区间直觉模糊集距离测度.然后,通过把Hamming距离和Euclidean距离以及它们的加权形式与Hausdorff度量相结合,给出了2种组合的区间直觉模糊集距离测度,即基于Hausdorff 度量的加权Hamming距离和基于Hausdorff 度量的加权Euclidean距离,并且研究了它们的性质.最后,基于上述距离测度,给出了区间直觉模糊集相似性测度,并且把它们应用于模式识别领域.
정의료구간직각모호집상사도적개념,병차기우Hamming거리、표준화적Hamming거리、가권적Hamming Euclidean거리、Euclidean거리、표준화적Euclidean거리、가권적Euclidean거리등,정의료일사구간직각모호집거리측도.연후,통과파Hamming거리화Euclidean거리이급타문적가권형식여Hausdorff도량상결합,급출료2충조합적구간직각모호집거리측도,즉기우Hausdorff 도량적가권Hamming거리화기우Hausdorff 도량적가권Euclidean거리,병차연구료타문적성질.최후,기우상술거리측도,급출료구간직각모호집상사성측도,병차파타문응용우모식식별영역.
The concept of the degree of similarity between interval-valued intuitionistic fuzzy sets (IVIFSs) is introduced,and some distance measures between IVIFSs are defined based on the Hamming distance,the normalized Hamming distance,the weighted Hamming distance,the Euclidean distance,the normalized Euclidean distance,and the weighted Euclidean distance,etc.Then,by combining the Hausdorff metric with the Hamming distance,the Euclidean distance and their weighted versions,two other similarity measures between IVIFSs,i.e.,the weighted Hamming distance based on the Hausdorff metric and the weighted Euclidean distance based on the Hausdorff metric,are defined,and then some of their properties are studied.Finally, based on these distance measures,some similarity measures between IVIFSs are defined,and the similarity measures are applied to pattern recognitions with interval-valued intuitionistic fuzzy information.