2.7 Summary
A review of the fundamentals of fuzzy sets, fuzzy rules and fuzzy inference systems is provided in this chapter. Beginning with crisp or classical sets and their operations, we derived fuzzy sets and their operations. Classical set membership functions and fuzzy membership functions are discussed in detail following set theory. Fuzzy rules are described using an air conditioner control example. The different defuzzification techniques and their processes are discussed with the same example step by step. Finally, some other fuzzy techniques are discussed such as off-line and on-line fuzzy control systems as well as a fuzzy closed-loop control system including multiple lookup tables.
Because of space limitations, the author cannot cover all different fuzzy systems and their applications such as sliding mode fuzzy, adaptor fuzzy and neural fuzzy control systems in one chapter. With the development of new fuzzy techniques, fuzzy control will play a more and more important role in our society.
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Bai, Y., Wang, D. (2006). Fundamentals of Fuzzy Logic Control — Fuzzy Sets, Fuzzy Rules and Defuzzifications. In: Bai, Y., Zhuang, H., Wang, D. (eds) Advanced Fuzzy Logic Technologies in Industrial Applications. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-84628-469-4_2
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DOI: https://doi.org/10.1007/978-1-84628-469-4_2
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