期刊
PATTERN ANALYSIS AND APPLICATIONS
卷 19, 期 1, 页码 11-20出版社
SPRINGER
DOI: 10.1007/s10044-014-0378-6
关键词
Pattern recognition; Atanassov's intuitionistic fuzzy set; Entropy; Similarity measure; Fuzzy measure
资金
- Funds for Creative Research Groups of China [71221061]
- NSFC [71210003]
- National Natural Science Foundation of China [71201089, 71201110, 27127117, 71271029]
- Natural Science Foundation Youth Project of Shandong Province, China [ZR2012GQ005]
- Specialized Research Fund for the Doctoral Program of Higher Education [20111101110036]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
In this study, we first examine entropy and similarity measure of Atanassov's intuitionistic fuzzy sets, and define a new entropy. Meanwhile, a construction approach to get the similarity measure of Atanassov's intuitionistic fuzzy sets is introduced, which is based on entropy. Since the independence of elements in a set is usually violated, it is not suitable to aggregate the values for patterns by additive measures. Based on the given entropy and similarity measure, we study their application to Atanassov's intuitionistic fuzzy pattern recognition problems under fuzzy measures, where the interactions between features are considered. To overall reflect the interactive characteristics between them, we define three Shapley-weighted similarity measures. Furthermore, if the information about the weights of features is incompletely known, models for the optimal fuzzy measure on feature set are established. Moreover, an approach to pattern recognition under Atanassov's intuitionistic fuzzy environment is developed.
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