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Summary

This document provides an explanation of fuzzy sets and their applications in fuzzy control. It covers topics such as membership functions, set-theoretic operations, and fuzzy relations.

Full Transcript

Fuzzy Sets By: Dr. Parham Pahlavani Associate Prof., Surveying and Geomatics Eng., University of Tehran Fuzzy Set By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 2 ...

Fuzzy Sets By: Dr. Parham Pahlavani Associate Prof., Surveying and Geomatics Eng., University of Tehran Fuzzy Set By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 2 Fuzzy sets with a discrete ordered universe Fuzzy sets with a continuous universe By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 3 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 4 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 5 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 6 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 7 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 8 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 9 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 10 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 11 Set-theoretic Operations By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 12 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 13 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 14 Fuzzy Intersection and Union By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 15 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 16 Membership Functions By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 17 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 18 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 19 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 20 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 21 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 22 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 23 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 24 MFs of Two Dimensions By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 25 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 26 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 27 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 28 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 29 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 30 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 31 Extension principle By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 32 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 33 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 34 Fuzzy relations By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 35 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 36 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 37 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 38 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 39 Linguistic variables By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 40 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 41 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 42 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 43 Fuzzy If-Then rules By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 44 A coupled with B By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 45 A coupled with B By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 46 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 47 A entails B By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 48 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 49 Fuzzy reasoning By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 50 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 51 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 52 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 53 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 54 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 55 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 56 Fuzzy Inference System IMPORTANT! By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 57 Types of Fuzzy Inference System By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 58 Types of Fuzzy Inference System By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 59 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 60 Mamdani’s variants By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 61 Antecedent and Consequent MFs Overall input-output curves By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 62 Antecedent and Consequent MFs Overall input-output surface By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 63 MATLAB Fuzzy Toolbox By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 64 How to use the FIS commands in order to create a new FIS? By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 65 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 66 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 67 By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 68 Antecedent MFs Overall input-output surface By: Dr. Parham Pahlavani, Assistant Prof, Surveying and Geomatics Eng., University of Tehran Page 69

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