Application of IF set oscillation in the field of face recognition

被引：2
作者：
Bhattacharya S. [1 ]
Roy S.B. [2 ]
机构：
[1] Department of Mathematics, Tripura University, Agartala
[2] Department of Computer Science, Ramthakur College, Agartala
来源：
Pattern Recognition and Image Analysis | 2017年 / 27卷 / 03期
关键词：
closed set; face recognition; fuzzy m*[!sub]x[!/sub; fuzzy oscillatory operator; IF Set m*[!sub]x[!/sub] Oscillation; IF set oscillation; Intuitionistic fuzzy set; minimal structure fuzzy oscillation; open set; structure;
D O I：
10.1134/S1054661817030270
中图分类号：
学科分类号：
摘要：
The situation when uncertainty rules the circumstances some inefficiency of crisp set can be observed. This was overcome by application of fuzzy set for solving different real life problems. Intuitionistic fuzzy set was introduced to handle complex circumstances and to provide better result. Fuzzy set proves its efficiency in field data processing. Minimal structure fuzzy oscillation can be efficiently applied for image processing, especially for face recognition. In this paper we introduce the concept of Intuitionistic fuzzy set or IF Set based minimal structure oscillation. A face database which may be considered as training set, is used to form IF set minimal structure. Again non membership pixel values are also calculated with those pixel values which are used to form IF set minimal structure accordingly. The pixels from membership and nonmembership images are applied to compute two new oscillatory operators. We introduce four new conditions according to the values of the oscillatory operators, which is used for recognition of the face. This new concept can be applied in different types of real life data analysis such as data mining. Along with the theoretical explanation we also presented some experimental results which proves the precision of the face recognition algorithm. In this paper proposed new face recognition algorithm executed and tested using MATLAB 7.9 software and experiments are performed on Face fix Database and ORL database. Accuracy of the results describes the application of IF set minimal structure oscillation in the field of face recognition. © 2017, Pleiades Publishing, Ltd.
引用
收藏
页码：625 / 636
页数：11
相关论文
共 21 条
  • [1] Alimohammady M., Roohi M., Fuzzy minimal structure and fuzzy minimal vector spaces, Chaos, Solitons Fractals, 27, 3, pp. 599-605, (2006)
  • [2] Alimohammady M., Roohi M., Compactness in fuzzy minimal spaces, Chaos, Solitons Fractals, 28, 4, pp. 906-912, (2006)
  • [3] Alimohammady M., Roohi M., Extreme points in minimal spaces, Chaos, Solitons Fractals, 39, 3, pp. 1480-1485, (2009)
  • [4] Alimohammady M., Roohi M., Delavar M.R., Transfer closed and transfer open multimaps in minimal spaces, Chaos, Solitons Fractals, 40, 3, pp. 1162-1168, (2009)
  • [5] BhattacharyaHalder S., Roy S., On fuzzy oscillation and it’s application in image processing, Ann. Fuzzy Math. Inf., 7, 2, pp. 2093-9310, (2014)
  • [6] Pankaj D.S., Wilscy M., Comparison of PCA, LDA and gabor features for face recognition using fuzzy neural network, Advances in Computing and Information Technology, pp. 413-422, (2013)
  • [7] Halder S., Oscillation and stability of a fuzzy set, Proc. Int. Conf. on Fuzzy Mathematics and Its Application, (2007)
  • [8] Maki H., Generalized λ-sets and the associated closure operator, Special Issue in Commemoration of Prof. Kazusada IKEDA’Retirement, 1, pp. 139-146, (1986)
  • [9] Mukherjee A., Halder S., Some more results on oscillatory region of a fuzzy set, Proc. Int. Conf. on Modeling and Simulation CIT, pp. 665-670, (2007)
  • [10] Popa V., Noiri T., On M-continuous functions, “Anal. Univ.” Dunarea de Jos, Galati, Ser. Mat. Fiz. Mec. Teor. 2, 18, 23, pp. 31-41, (2000)
123