New PDF release: 24.Fuzzy Systems

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Instead f f of gP (t) ≤ gQ (t). In other words, eliminate many other gP f s for which there exists a set of gQ f s whose sup is greater than or equal to gP f . Let RFMAT denote the FMAT after reducing its redundancy. The fuzzy medial axis is seen to provide a good skeleton of the darker (higher intensity) pixels in an image apart from its exact representation. FMAT of an image can be considered as its core (prototype) version for the purpose of image matching. It is to be mentioned here that such a representation may not be economical in a practical situation.

Jain, A. K. A Clustering Performance Measure Based on Fuzzy Set Decomposition. IEEE Trans. Patt. Anal. Machine Intell. 1981, 3, pp 66–75. 64. Dave, R. ; Bhaswan, K. Adaptive Fuzzy c-shells Clustering and Detection of Ellipses. IEEE Trans. Neural Networks 1992, 3, pp 643–662. 65. ; Frigui, H. The Fuzzy C Spherical Shells Algorithm: A New Approach IEEE Trans. Neural Networks 1992, 3, pp 663–671. 66. Bensaid, A. ; Hall, L. ; Bezdek, J. ; Clarke, L. P. Partially Supervised Clustering for Image Segmentation.

K. Determining the Shape of a Pattern Class: Extension to RN . Int. J. General Syst. 1997, 26(4), pp 293–320. 10. Pal, S. ; Dutta Majumder, D. Fuzzy Mathematical Approach to Pattern Recognition; Wiley: Halsted, NY, 1986. 11. Murthy, C. ; Pal, S. ; Dutta Majumder, D. Correlation Between Two Fuzzy Membership Functions. Fuzzy Sets Syst. 1985, 17, pp 23–38. 12. Pal, N. ; Pal, S. K. Higher Order Fuzzy Entropy and Hybrid Entropy of a Set. Inform. Sci. 1992, 61 pp 211–231. 13. ; Termini, S. A Definition of a Non Probabilistic Entropy in the Setting of Fuzzy Set Theory.

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24.Fuzzy Systems by John G. Webster (Editor)


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