On the Paradoxical Success of Mamdani's Minimum-Based Inference [chapter]

Marcin Detyniecki, Benjamin Moubêche, Bernadette Bouchon-Meunier
<span title="">2012</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yyucbg6w6bhgfejbzekrytd7da" style="color: black;">Studies in Fuzziness and Soft Computing</a> </i> &nbsp;
Mamdani's inference has an incredible success, especially in areas such as decision making and control. Yet, it is well known that it uses a min-based implication that does not verify classical boolean logic requirements. This contribution aims at, in the one hand, exploring Mamdani's choice from a practical point of view, and in the other hand, explaining the success of Mamdani's inference from a logical perspective, by introducing a simple variant of the Generalized Modus Ponens (GMP) that
more &raquo; ... s standard fuzzy implications. In addition, this new formulation opens the way for new methods of inference that have the same benefits as Mamdani's.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-24666-1_19">doi:10.1007/978-3-642-24666-1_19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/q3pst3ns4rgwxbbo7qhtzdxdda">fatcat:q3pst3ns4rgwxbbo7qhtzdxdda</a> </span>
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