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Chapter 6 FUZZY FUNCTION Chi-Yuan Yeh
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Kinds of fuzzy function Crisp function with fuzzy constraint Fuzzy extension function which propagates the fuzziness of independent variable to dependent variable Fuzzifying function which blurs the image of a crisp independent variable 2
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Function with fuzzy constraint 3
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Fuzzy extension function 4 tes
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Fuzzy extension function 5
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Single fuzzifying function 6
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Fuzzy bunch of functions 9
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Fuzzy bunch of functions 11
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Fuzzy bunch of functions 12
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Fuzzy bunch of functions 13
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Maximizing set 14
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Minimizing set Minimizing set of f is defined as the maximizing set of -f 15
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Maximizing set 16
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Maximizing set 17
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Maximizing set 18
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Maximum value in crisp domain 19
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Maximum value in crisp domain 20
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Maximum value in crisp domain 21
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Maximum value in fuzzy domain 22
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Maximum value in fuzzy domain 23
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Maximum value in fuzzy domain 24
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Maximum value in fuzzy domain 25
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Maximum value in fuzzy domain 26
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Integration of fuzzying function 27
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Integration of fuzzying function 28
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Integration of fuzzying function 29
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Integration of fuzzying function 30
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Integration in fuzzy interval 31
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Integration in fuzzy interval 32
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Differentiation of crisp function in fuzzy interval 34
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Differentiation of crisp function in fuzzy interval 35
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36 Differentiation of fuzzifying function function
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37 Thanks for your attention!
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