The Importance of Being Fuzzy: And Other Insights from the Border Between Math and ComputersPrinceton University Press |
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algebra answer applications of fuzzy arithmetic artificial artificial neuron automatic axioms biological calculate cell chromosomes cities classification complex crossover decision defuzzification developed digital computers encode equations error Eulerian path evolution example exist FIGURE formal fuzzy controller fuzzy engineering fuzzy inference rule fuzzy logic fuzzy sets fuzzy subsets genes genetic algorithms given Gödel grade of membership graph halting problem Hopfield human i-th idea inference rules instance large number layer learning Lotfi Zadeh mathe mathematicians membership function membership grade method natural numbers neural networks neuron NP-complete operations optimal output percent performance polynomial population positive possible practical precise problem in NP proof prototypes puter question random raspberry represented Sangalli scientists sequence simple solution solve strategies symbols tape techniques theorem theory tion traveling salesman problem truth Turing machine uncomputable functions values variables virus viruses w₁ w₂ weight vector x₁ Zadeh zero