A new gaussian noise filter based on interval type-2 fuzzy logic systems

In this paper, a new selective feedback fuzzy neural network (SFNN) based on interval type-2 fuzzy logic systems is introduced by partitioning input and output spaces and based upon which a new FLS filter is further studied. The experimental results demonstrate that this new FLS filter outperforms other filters (e.g. the mean filter and the Wiener filter) in suppressing Gaussian noise and maintaining the original structure of an image.

[1]  M. Wagenknecht,et al.  Application of fuzzy sets of type 2 to the solution of fuzzy equation systems , 1988 .

[2]  Peng Yingning.  Adaptive center weighted modified trimmed mean filter , 1999 .

[3]  Jerry M. Mendel,et al.  Centroid of a type-2 fuzzy set , 2001, Inf. Sci..

[4]  R.I. John,et al.  Type 2 fuzzy sets and neuro-fuzzy clustering of radiographic tibia images , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[5]  N. N. Karnik,et al.  Introduction to type-2 fuzzy logic systems , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[6]  Korris Fu-Lai Chung,et al.  Note on the relationship between probabilistic and fuzzy clustering , 2004, Soft Comput..

[7]  Yang Jinsheng,et al.  Fuzzy weighted average filter , 2000, WCC 2000 - ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000.

[8]  Jerry M. Mendel,et al.  Type-2 fuzzy logic systems , 1999, IEEE Trans. Fuzzy Syst..

[9]  Bogdan M. Wilamowski.  Neuro-fuzzy systems and their applications , 1998, IECON '98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.98CH36200).

[10]  Jerry M. Mendel,et al.  Operations on type-2 fuzzy sets , 2001, Fuzzy Sets Syst..

[11]  RONALD R. YAGER,et al.  Fuzzy Subsets of Type Ii in Decisions , 1980, Cybern. Syst..

[12]  Hongjun Lu,et al.  A New Integrated Clustering Algorithm GFC and Switching Regressions , 2002, Int. J. Pattern Recognit. Artif. Intell..

[13]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[14]  J. Mendel.  Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

[15]  Ma Zhang.  An Averaging-Based Adaptive Filter , 2000 .

[16]  Jerry M. Mendel,et al.  Applications of Type-2 Fuzzy Logic Systems to Forecasting of Time-series , 1999, Inf. Sci..