Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.

Chapter 1: Fuzzy semigroups and fuzzy nonlinear evolution equations.- Chapter 2: On Fuzzy localized subring.- Chapter 3: Coupled system of nonlinear fuzzy Volterra-Urysohn integral equations.- Chapter 4: Optimal bounded control on the velocity term of a bilinear plate equation.- Chapter 5: Numerical Solution Of Intuitionistic Fuzzy Differential Equations By Runge-Kutta Verner Method.- Chapter 6: Fuzzy Hidden Markov Model in Images Segmentation.- Chapter 7: Solving the intuitionistic fuzzy fractional partial differential equations.- Chapter 8: Using Machine Learning with PySpark and MLib for Solving a Binary Classi?cation Problem: Case of Searching for exotic particles.- Chapter 9: On some results of fuzzy super-connected space.- Chapter 10: Regional optimal control problem of a heat equation with bilinear boundary controls.- Chapter 11: Fuzzy equations for mixed convection in a rectangular cavity.- Chapter 12: Likelihood and Decoding in a Partially Hidden Markov Model.- Chapter 13: Solution of ?rst order linear intuitionistic fuzzy differential equations by the variation of constants formula.- Chapter 14: A secure variant of the Fiat and Shamir authentication protocol using Gaussian integers.- Chapter 15: Resolution of a system of the max-product fuzzy relation equations using B?B^t-factorization.