## Introduction to Fuzzy Logic Using MATLAB by S.N. Sivanandam

By S.N. Sivanandam

The elemental ideas of Fuzzy common sense are mentioned intimately with numerous solved examples. the various methods and ideas to the issues given within the ebook are good balanced and pertinent to the bushy common sense learn initiatives. The functions of Fuzzy common sense also are dealt to make the readers comprehend the concept that of Fuzzy common sense. The ideas to the issues are programmed utilizing MATLAB 6.0 and the simulated effects are given. The MATLAB Fuzzy good judgment toolbox is equipped for simple reference.

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5 0 10 10 0 Continuous Form of MOSFET and Transistor For these two fuzzy calculate the following: (a) µm ∪ µT ∼ ∼ ∼ ∼ (b) µm ∩ µT (c) µ ¯T = 1 − µT ∼ ∼ (d) µ ¯M = 1 − µM ∼ ∼ (e) De Morgan’s law 4. Samples of new microprocessors IC chip are to be sent to several customers for beta testing. The chips are sorted to meet certain maximum electrical characteristics say frequency, and temperature rating, so that the “best” chips are distributed to preferred customer 1. Suppose that each sample chip is screened and all chips are found to have a maximum operating frequency in the range 7–15 MHz at 20◦ C.

3 Fuzzy Sets In the classical set, its characteristic function assigns a value of either 1 or 0 to each individual in the universal set, there by discriminating between members and nonmembers of the crisp set under consideration. The values assigned to 20 2 Classical Sets and Fuzzy Sets m A~ 1 x 0 Fig. 7. Membership function of fuzzy set A ∼ the elements of the universal set fall within a speciﬁed range and indicate the membership grade of these elements in the set. Larger values denote higher degrees of set membership such a function is called a membership function and the set is deﬁned by it is a fuzzy set.

13. 14. 15. Deﬁne classical set. How is the power set formed from the existing universe? What is the diﬀerence between the whole set and the power set? Give a few examples for classical set. What are the operations that can be performed on the classical set? Write the expressions involved for the operations of classical set in function – theoretic form and set- theoretic form. State the properties of classical sets. What is the cardinal number of a set? How is the cardinality deﬁned for a power set?