Theoretical Foundations

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Theoretical Foundations

  1. Evolutionary Algorithms

    • Genetic Algorithms
    • Genetic Programming
    • Differential Evolution
    • Cultural Algorithms

  2. Fuzzy and Neutrosophic Sets

    • Basic Fuzzy Models
    • Type-1 and Type-2 Fuzzy Sets
    • Interval-Valued Fuzzy Sets
    • Neutrosophic Logic and Set Relations
    • Picture Fuzzy Sets

  3. Probabilistic Computing

    • Bayesian Networks
    • Stochastic Processes
    • Markov Models
    • Monte Carlo Methods
    • Randomized Algorithms

  4. Quantum Computing

    • Quantum Algorithms
    • Quantum Information Theory
    • Quantum Complexity Theory
    • Quantum Cryptography
    • Quantum Machine Learning

  5. Rough Sets and Granular Computing

    • Basic Rough Set Theory
    • Variable Precision Rough Sets
    • Dominance-Based Rough Sets
    • Granular Computing Models

  6. Interactive Algorithms

    • Interactive Differential Evolution
    • Human-in-the-Loop Algorithms
    • Interactive Multi-Objective Optimization

  7. Graph Algorithms

    • Network Flow Algorithms
    • Graph Search Algorithms
    • Graph Partitioning
    • Spectral Graph Theory

  8. Optimization Theory

    • Convex Optimization
    • Non-Convex Optimization
    • Linear and Nonlinear Programming

  9. Metaheuristics

    • Simulated Annealing
    • Tabu Search
    • Ant Colony Optimization
    • Particle Swarm Optimization

  10. Neuro-Fuzzy Systems

    • Adaptive Neuro-Fuzzy Inference Systems
    • Neuro-Fuzzy Controllers
    • Hybrid Neural Networks and Fuzzy Systems

  11. Mathematical Logic and Formal Systems

    • Propositional and Predicate Logic
    • Lambda Calculus
    • Formal Languages
    • Automata Theory

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