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Defuzzification
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<h2 id="methods">Methods</h2> <p>There are many different methods of defuzzification available, including the following:<a class="footnote-ref" id="fnref:1" href="#fn:1"><sup>1</sup></a> </p> <ul><li>AI (adaptive integration)<a class="footnote-ref" id="fnref:2" href="#fn:2"><sup>2</sup></a></li> <li>BADD (basic defuzzification distributions)</li> <li>BOA (bisector of area)</li> <li>CDD (constraint decision defuzzification)</li> <li>COA (center of area)</li> <li>COG (center of gravity)</li> <li>ECOA (extended center of area)</li> <li>EQM (extended quality method)</li> <li>FCD (fuzzy clustering defuzzification)</li> <li>FM (fuzzy mean)</li> <li>FOM (first of maximum)</li> <li>GLSD (generalized level set defuzzification)</li> <li>ICOG (indexed center of gravity)</li> <li>IV (influence value)<a class="footnote-ref" id="fnref:3" href="#fn:3"><sup>3</sup></a></li> <li>LOM (last of maximum)</li> <li>MeOM (mean of maxima)</li> <li>MOM (middle of maximum)</li> <li>QM (quality method)</li> <li>RCOM (random choice of maximum)</li> <li>SLIDE (semi-linear defuzzification)</li> <li>WFM (weighted fuzzy mean)</li></ul> <p>The maxima methods are good candidates for fuzzy reasoning systems. The distribution methods and the area methods exhibit the property of continuity that makes them suitable for fuzzy controllers.<a class="footnote-ref" id="fnref:4" href="#fn:4"><sup>4</sup></a> </p> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Fuzzy_logic/1PvN4Att">Fuzzy logic</a></li> <li><a href="/facts/Fuzzy_set/BGWudHJq">Fuzzy set</a></li> <li><a href="/facts/Fuzzy_control/SMamr5qY">Fuzzy control</a></li></ul> <h2 id="notes">Notes</h2> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>van Leekwijck, W.; Kerre, E. E. (1999). "Defuzzification: criteria and classification". Fuzzy Sets and Systems. 108 (2): 159–178. doi:10.1016/S0165-0114(97)00337-0. <a href="/wiki/Fuzzy_Sets_and_Systems" target="_blank">/wiki/Fuzzy_Sets_and_Systems</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Eisele, M.; Hentschel, K.; Kunemund, T. (1994). "Hardware realization of fast defuzzification by adaptive integration". Proceedings of the Fourth International Conference on Microelectronics for Neural Networks and Fuzzy Systems. Vol. 1994. pp. 318–323. doi:10.1109/ICMNN.1994.593726. ISBN 0-8186-6710-9. S2CID 61998554. <a href="0-8186-6710-9" target="_blank">0-8186-6710-9</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Madau, D. P.; Feldkamp, L. A. (1996). "Influence value defuzzification method". Proceedings of IEEE 5th International Fuzzy Systems. Vol. 3. pp. 1819–1824. doi:10.1109/FUZZY.1996.552647. ISBN 0-7803-3645-3. S2CID 62758527. <a href="0-7803-3645-3" target="_blank">0-7803-3645-3</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>van Leekwijck, W.; Kerre, E. E. (1999). "Defuzzification: criteria and classification". Fuzzy Sets and Systems. 108 (2): 159–178. doi:10.1016/S0165-0114(97)00337-0. <a href="/wiki/Fuzzy_Sets_and_Systems" target="_blank">/wiki/Fuzzy_Sets_and_Systems</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> </ol>