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Boolean and fuzzy logic implemented at the molecular level
Authors:Pier Luigi Gentili
Institution:Dipartimento di Chimica, Università di Perugia, 06123 Perugia, Italy
Abstract:In this work, it is shown how to implement both hard and soft computing by means of two structurally related heterocyclic compounds: flindersine (FL) and 6(5H)-phenanthridinone (PH). Since FL and PH have a carbonyl group in their molecular skeletons, they exhibit Proximity Effects in their photophysics. In other words, they have an emission power that can be modulated through external inputs such as temperature (T) and hydrogen-bonding donation (HBD) ability of solvents. This phenomenology can be exploited to implement both crisp and fuzzy logic. Fuzzy Logic Systems (FLSs) wherein the antecedents of the rules are connected through the AND operator, are built by both the Mamdani’s and Sugeno’s models. Finally, they are adopted as approximators of the proximity effect phenomenon and tested for their prediction capabilities. Moreover, FL as photochromic compound is also a multiply configurable crisp logic molecular element.
Keywords:Crisp logic  Fuzzy logic  Proximity effect  Mamdani&rsquo  s and Sugeno&rsquo  s methods  Photochromism
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