Developing a new similarity measure from two different perspectives |
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| Institution: | 1. Department of Chemical Engineering, Tsinghua University, Beijing, China, 100084;2. Beijing Key Laboratory of Industrial Big Data System and Application, Tsinghua University, Beijing, China, 100084;1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing (100081), China;2. School of Electronic Science and Engineering, National University of Defense Technology, Changsha, Hunan (410000), China;3. School of Science, University of Science and Technology Liaoning, Anshan (114051), China |
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| Abstract: | In this paper two distinct similarity measures in a document vector space, the distance-based and angle-based similarity measures, are compared, and a newly developed similarity measure based upon both the distance and angle strengths of two compared objects is presented. The concept of the iso-extent contour, which facilitates the understanding of the nature of the newly developed similarity measure, is introduced. The three different similarity measures are compared and the properties of the newly developed similarity measure are addressed. |
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