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1 Vol.7, No. 1, Spring 2015 Iranian Remote Sensing & - * Hamid.hansar@Gmail.com *

2 (Wang, 1990) (Liu et al., 2011) (Liu et al., 2011) (Rajesh et al., 2015) - Melgani et al., 2000 (Liu et al., 2011) Wang & Wan, 2009) C-means (Bezde et al., 1984) (Gin et al., 2014; 1. Supervised 2. Unsupervised 3. Closure 4. Fuzzy Mahalanobis Classifier TM Zenzo et al., 1987 (Cannon et al., 1986)

3 (Wang & Wan, 2009) Liu et al., 2011 P / x P P x / m i 1 P i P x / i (Shi et al., 2010) P(x/) P() x V n V x x

4 i f m x n

5 X Zadeh, X 1978 [ ] X X [ ] (Zadeh, 1988) t (Liu et al., 2011) P(x) X X X fts cts 1. Valuation 2. Chang 3. Fuzzy Topological Space (FTS) 4. Crisp Topological Space (CTS) (Wang & Wan, 2009)

6 1- (Liu et al., 2011) m Chen Liu et al., 2011 cts fts et al., 2001; fts cts cts fts Liu et al., 2011) (Tang, 2004; m Liu et al., 2011 Tang et al., Interior

7 . fts (Shi et al., 2010) [0,1]. B m (Shi et al., 2010) Shi et al., Connectivity 2. Neighbourhood 3. Levelling 4. Bacground 5. Supported separated 6. Supported separated

8 (Shi et al., 2010) a C C b Null c

9

10

11 r i i N i MLC MH FMLC FMH FTMLC FTMH FMLC SI1(FMH_bace-FMLC) SI1(FMLC_bace-FMH) FMH 1 Confusion Matrix 2. Overall ccuracy 3. Overall Kappa SI2(FMLC-FMH)

12 MH FMH FTMH MLC FMLC FTMLC SI1(FMLC_bace-FMH) SI1(FMH_bace-FMLC) SI2(FMLC-FMH) FMH FMLC MLC MH

13 Bezde, J.C., Ehrlich, R. & Full, W., 1984, FCM: The Fuzzy C-means Clustering lgorithm, Comp. Geosci., Vol. 10, PP Cannon, R.L., Dave, J.V., Bezde, J.C. & Trivedi, M.M., 1986, Segmentation of a Thematic Mapper Image Using the Fuzzy C-means Clustering lgorithm, Trans. Geosci. Remote Sensing, Vol. GE-24, PP Chen J., Zhao R.L. & Li Z.L., 2001, Voronoibased 9-intersection Model for Spatial Relations, International Journal of Geographical Information Science, 15(3), PP Gin D.W. & Zhen W.Zh., 2014, n Enhanced Discrim in ability Recurrent Fuzzy Neural Networ for Temporal Classification Problems, Fuzzy Sets and Systems, Vol. 237, PP Haralic, R.M., Shanmugan, K. & Dinstein, I., 1973, Texture Feature for Image Classification, IEEE Transaction on System, Man and Cybernetics, Vol. 3, No. 6, PP Kast, J.L., Swain, P.H., Davis, B.J. & Spencer, P.W., 1977, ECHO User's GUIDE, Laboratory for pplications of Remote Sensing. Liu, K., Shi, W. & Zhang, H., 2011, Fuzzy Topology-based Maximum Lielihood Classification, ISPRS Journal of Photogrammetry and Remote Sensing, 66, PP Liu, K. & Shi, W., 2009, Quantitative Fuzzy Topological Relations of Spatial Objects by Induced Fuzzy Topology, International Journal of pplied Earth Observation and

14 Geoinformation, 11, PP Mather, P.M., 2004, Computer Processing of Remotely-Sensed Images an Introduction, Third Edition, Chapter 8. Melgani, F., l Hashemy, B., Taha, S., 2000, n Explicit Fuzzy Supervised Classification Method for Multispectral Remote Sensing Images, IEEE Transactions on Geoscience and Remote Sensing, January, Vol. 38, No. 1. Rajesh K.. & Narendra G.B., 2015, Multiobjective PSO based daption of Neural Networ Topology for Pixel Classification in Satellite Imagery, pplied Soft Computing, Vol. 28, PP Richards, J.. & Jia, X., 2006, Remote Sensing Digital Image nalysis; an Introduction, 4th Edition, Chapter 8, Springer-Verlag Berlin Heidelberg. Shi, W. & Liu, K., 2007, Fuzzy Topology for Computing the Interior, Boundary, and Exterior of Spatial Objects Quantitatively in, Computers & Geosciences, 33, PP Shi, W., Liu, K. & Zhang, H., 2010, Study of Supervised Classification ccuracy in Fuzzy Topological Methods, International Journal of pplied Earth Observation and Geoinformation. Tang, X.M., 2004, Spatial Object Modeling in Fuzzy Topological Space with pplications to Land Cover Change, Jan-china- printed by ITC printing department. Tang, X.M., Fang, Y. & Kainz, W., 2003, Topological Relations between Fuzzy Regions in a Special Fuzzy Topological Space, Geography and Geo-information science (in Chinese), 19(2), PP Tso, B., Mather & P.M., 2001, Classification Methods for Remotely Sensed Data, Taylor & Francis. Wang, F., 1990, Fuzzy Supervised Classification of Remote Sensing Image, IEEE Transactions on Geoscience and Remote Sensing, March, Vol. 28, No. 2. Wang, K. & Wan, Y., 2009, Classification of Remote Sensing Image Using Fuzzy Multiclassifiers, IEEE. Zadeh L.., 1978, Fuzzy Sets as a basis for a Theory of Possibility, Fuzzy Sets and Systems, 1, PP Zadeh L.., 1988, Fuzzy Logic, IEEE Computer, 21, PP