By John G. Webster (Editor)
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1982, 4, pp 204–208. 23. Xie, W. ; Bedrosian, S. D. Experimentally Derived Fuzzy Membership Function for Gray Level Images. J. Franklin Inst. 1988, 325, pp 154–164. 24. Rosenfeld, A. The Fuzzy Geometry of Image Subsets. Patt. Recog. Lett. 1984, 2, pp 311–317. 25. Pal, S. ; Rosenfeld, A. Image Enhancement and Thresholding by Optimization of Fuzzy Compactness. Pattern Recog. Lett. 1988, 7, pp 77–86. 26. Pal, S. ; Ghosh, A. Index of Area Coverage of Fuzzy Image Subsets and Object Extraction. Pattern Recog.
For example, consider a relation R with three tuples. For an attribute Years, the values for each tuple are: 15; 8; (20,30). It is definite that 15 ʦ R, but it is not certain if 25 is in R, so we have 25 ʦM (maybe an element of) R. Note that, by the definition of the maybe predicate, we also have 15 ʦM R. The basis of the relational model is set theoretic, so we can view a relation as a set of tuples. In a set there should not normally be duplicate elements, and the issue of elimination of duplicate tuples plays a significant role in inexact and imprecise models of data.
Some Properties of Fuzzy Sets of Type 2. Inform. Control 1976, 31, pp 312–340. 36. Zadeh, L. A. Making Computers Think Like People. IEEE Spectrum 1984, August, pp 26–32. 37. Pal, S. ; King, R. A. On Edge Detection of X-ray Images Using Fuzzy Set. IEEE Trans. Pattern Anal. Machine Intell. 1983, 5, pp 69–77. 38. ; Yang, H. S. Fast and Reliable Image Enhancement Using Fuzzy Relaxation Technique. IEEE Trans. Syst. Man Cyber. 1989, 19, pp 1276–1281. 39. ; Tizhoosh, H. ; Moore, C. ; Michaelis, B. Fuzzy Image Enhancement and Associative Feature Matching in Radio Therapy.
24.Fuzzy Systems by John G. Webster (Editor)