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Fuzzy electronics
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<h2 id="history">History</h2> <p>The first fuzzy electronic circuit was built by Takeshi Yamakawa <i>et al.</i> in 1980 using discrete bipolar transistors. The first industrial fuzzy application was in a cement kiln in Denmark in 1982. The first <a href="/facts/VLSI/l1Wgqr27">VLSI</a> fuzzy electronics was by Masaki Togai and Hiroyuki Watanabe in 1984. In 1987, Yamakawa built the first analog fuzzy controller. The first digital fuzzy processors came in 1988 by Togai (Russo, pp. 2–6). </p><p>In the early 1990s, the first fuzzy logic chips were presented to the public. Two companies which are Omron and NEC have announced the development of dedicated fuzzy <a href="/facts/Electronic_hardware/fKcrTv2f">electronic hardware</a> in the year 1991.<a class="footnote-ref" id="fnref:1" href="#fn:1"><sup>1</sup></a> Two years later, the Japanese Omron Cooperation has shown a working fuzzy chip during a technical fair.<a class="footnote-ref" id="fnref:2" href="#fn:2"><sup>2</sup></a> </p> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Defuzzification/Vx1v6N4I">Defuzzification</a></li> <li><a href="/facts/Fuzzy_set/BGWudHJq">Fuzzy set</a></li> <li><a href="/facts/Fuzzy_set_operations/I5HFju1C">Fuzzy set operations</a></li></ul> <h2 id="bibliography">Bibliography</h2> <ul><li>Ibrahim, Ahmad M. (1997). <i>Introduction to Applied Fuzzy Electronics</i>. Prentice Hall. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 0-13-206400-6.</li> <li>Abraham Kandel, Gideon Langholz (eds), <i>Fuzzy Hardware: Architectures and Applications</i>, Springer Science & Business Media, 2012 <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 1461540909. <ul><li>Russo, Marco (1998). "Fuzzy Hardware Research from Historical Point of View". <i>Fuzzy Hardware</i>. pp. 1–25. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1007%2F978-1-4615-4090-8_1">10.1007/978-1-4615-4090-8_1</a>. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 978-1-4613-6831-1.</li></ul></li></ul> <h2 id="further-reading">Further reading</h2> <ul><li>Yamakawa, T.; Inoue, T.; Ueno, F.; Shirai, Y., "Implementation of Fuzzy Logic hardware systems-Three fundamental arithmetic circuits", <i>Transactions of the Institute of Electronics and Communications Engineers</i>, vol. 63, 1980, pp. 720–721.</li> <li>Togai, M.; Watanabe, H., <a href="http://www.sciencedirect.com/science/article/pii/0020025586900174">"A VLSI implementation of a fuzzy inference engine: towards an expert system on a chip"</a>, <i>Information Sciences</i>, vol. 38, iss. 2, April 1986, pp. 147–163</li></ul> <h2 id="external-links">External links</h2> <ul><li><a href="http://www.articleworld.org/index.php/Fuzzy_electronics">Applications of Fuzzy logic in electronics</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>"Fuzzy plan with a purpose". Computerworld. Vol. 25, no. 41. 1991-10-14. <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Ahmad Kushairi (1993-12-26). "Omron showcases latest in fuzzy logic". New Straits Times. <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> </ol>