Editing Computational intelligence (section)

=== Fuzzy logic ===
Unlike conventional Boolean logic, fuzzy logic is based on [[fuzzy set]]s. In both models, a property of an object is defined as belonging to a set; in fuzzy logic, however, the membership is not sharply defined by a yes/no distinction, but is graded gradually. This is done using [[Membership function (mathematics)|membership functions]] that assign a [[real number]] between 0 and 1 to each element as the degree of membership. The new set operations introduced in this way define the operations of an associated logic calculus that allows the modeling of [[Inference|inference processes]], i.e. [[logical reasoning]].<ref>{{Cite book |last=Engelbrecht |first=Andries P. |url=https://www.worldcat.org/title/133465571 |title=Computational Intelligence: An Introduction |date=2007 |publisher=John Wiley & Sons |isbn=978-0-470-03561-0 |edition=2nd |location=Chichester, England ; Hoboken, NJ |pages=465–474 |language=en |chapter=Fuzzy Logic and Reasoning |oclc=133465571}}</ref> Therefore, fuzzy logic is well suited for engineering decisions without clear certainties and uncertainties or with imprecise data - as with natural language-processing technologies<ref name=":22">{{Cite web |last=Chai |first=Wesley |title=Fuzzy logic applications |url=https://www.techtarget.com/searchenterpriseai/definition/fuzzy-logic |access-date=2025-02-11 |website=What is Fuzzy Logic? - Definition from SearchEnterpriseAI}}</ref> but it doesn't have learning abilities.<ref name="Siddique2">{{Cite book |last1=Siddique |first1=N. H. |title=Computational intelligence: synergies of fuzzy logic, neural networks, and evolutionary computing |last2=Adeli |first2=Hojjat |date=2013 |publisher=John Wiley & Sons Inc |isbn=978-1-118-53481-6 |location=Chichester, West Sussex, United Kingdom |pages=4–5 |chapter=Fuzzy Logic}}</ref>

This technique tends to apply to a wide range of domains such as [[control engineering]],<ref>{{Cite book |last=Pedrycz |first=Witold |title=Fuzzy control and fuzzy systems |date=1993 |publisher=Research Studies Press [u.a.] |isbn=978-0-86380-131-0 |edition=2., extended, edition, reprint |series=Electronic & electrical engineering research studies Control theory and applications series |location=Taunton}}</ref> [[image processing]],<ref name=":26">{{Cite book |title=Fuzzy cluster analysis: methods for classification, data analysis, and image recognition |date=1999 |publisher=J. Wiley |isbn=978-0-471-98864-9 |editor-last=Höppner |editor-first=Frank |location=Chichester ; New York}}</ref> [[Fuzzy clustering|fuzzy data clustering]]<ref name=":26" /><ref>{{Cite journal |last=Dunn |first=J. C. |date=1973 |title=A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters |url= |journal=Journal of Cybernetics |language=en |volume=3 |issue=3 |pages=32–57 |doi=10.1080/01969727308546046 |issn=0022-0280}}</ref> and decision making.<ref name=":22" /> Fuzzy logic-based control systems can be found, for example, in the field of household appliances in washing machines, dish washers, microwave ovens, etc. or in the area of motor vehicles in gear transmission and braking systems. This principle can also be encountered when using a video camera, as it helps to stabilize the image when the camera is held unsteadily. Other areas such as medical diagnostics, satellite controllers and business strategy selection are just a few more examples of today's application of fuzzy logic.<ref name=":22" /><ref>{{Cite book |last=Engelbrecht |first=Andries P. |url=https://www.worldcat.org/title/133465571 |title=Computational Intelligence: An Introduction |date=2007 |publisher=John Wiley & Sons |isbn=978-0-470-03561-0 |edition=2nd |location=Chichester, England ; Hoboken, NJ |pages=10–11 |language=en |chapter=Fuzzy Systems |oclc=133465571}}</ref>