Recent Advances in Intuitionistic Fuzzy Logic Systems: Theoretical Aspects and Applications (Studies in Fuzziness and Soft Computing Book 372)

"This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. It reports on applications such as fuzzy real time scheduling, intelligent control, diagnostics and time series prediction. Chapters were carefully selected among contributions presented at the second edition of the International Conference on Intuitionistic Fuzzy Sets and Mathematical Science, ICIFSMAS, held on April 11-13, 2018, at Al Akhawayn University of Ifrane, in Morocco. ." -- Springer Front Matter ....Pages i-viii Construction of a Topological Degree Theory in Generalized Sobolev Spaces (Mustapha Ait Hammou, Elhoussine Azroul)....Pages 1-18 Existence of Positive Solutions of Nonlinear Fractional Quadratic Differential Equations (K. Hilal, Y. Allaoui, K. Guida)....Pages 19-33 Comments on Fuzzy Sets, Interval Type-2 Fuzzy Sets, General Type-2 Fuzzy Sets and Intuitionistic Fuzzy Sets (Oscar Castillo, Krassimir Atanassov)....Pages 35-43 Quotient Rings Induced via Intuitionistic Fuzzy Ideals (Said Melliani, I. Bakhadach, H. Sadiki, L. S. Chadli)....Pages 45-54 A Fourth Order Runge-Kutta Gill Method for the Numerical Solution of Intuitionistic Fuzzy Differential Equations (B. Ben Amma, Said Melliani, L. S. Chadli)....Pages 55-68 Task Parameter Impacts in Fuzzy Real Time Scheduling (Mohammed Blej, Mostafa Azizi)....Pages 69-78 Framework for Optimization of Intuitionistic and Type-2 Fuzzy Systems in Control Applications (Oscar Castillo)....Pages 79-86 Approximation of Intuitionistic Fuzzy Systems for Time Series Analysis in Plant Monitoring and Diagnosis (Oscar Castillo)....Pages 87-100 New Fractional Derivative in Colombeau Algebra (Said Melliani, A. Chafiki, L. S. Chadli)....Pages 101-111 Controlled Fuzzy Evolution Equations (Said Melliani, A. El Allaoui, L. S. Chadli)....Pages 113-126 Multiplication Operation and Powers of Trapezoidal Fuzzy Numbers (E. Eljaoui, Said Melliani, L. S. Chadli)....Pages 127-141 Intuitioinistic Fuzzy Hilbert Space (Said Melliani, M. Elomari, L. S. Chadli)....Pages 143-152 On Intuitionistic Fuzzy Laplace Transforms for Second Order Intuitionistic Fuzzy Differential Equations (R. Ettoussi, Said Melliani, L. S. Chadli)....Pages 153-168 Approximate Solution of Intuitionistic Fuzzy Differential Equations by Using Picard’s Method (R. Ettoussi, Said Melliani, L. S. Chadli)....Pages 169-180 Fuzzy Cross Language Plagiarism Detection Approach Based on Semantic Similarity and Hadoop MapReduce (H. Ezzikouri, M. Oukessou, M. Erritali, Y. Madani)....Pages 181-190 Existence Results for an Impulsive Fractional Integro-Differential Equations with a Non-compact Semigroup (K. Hilal, K. Guida, L. Ibnelazyz, M. Oukessou)....Pages 191-211 Existence Results of Hybrid Fractional Integro-Differential Equations (Said Melliani, K. Hilal, M. Hannabou)....Pages 213-232 Convergence on Intuitionistic Fuzzy Metric Space (M. El Hassnaoui, Said Melliani, L. S. Chadli)....Pages 233-238 Graphical Representation of Intuitionistic Membership Functions for Its Efficient Use in Intuitionistic Fuzzy Systems (Amaury Hernandez-Aguila, Mario Garcia-Valdez, Oscar Castillo)....Pages 239-250 Existence of Mild Solutions for an Impulsive Fractional Integro-differential Equations with Non-local Condition (K. Hilal, L. Ibnelazyz, K. Guida, Said Melliani)....Pages 251-271 Fixed Point Theory, Contractive Mapping, Fuzzy Metric Space (Said Melliani, A. Moussaoui, L. S. Chadli)....Pages 273-281 Common Fixed Point Theorems in b-Menger Spaces (Abderrahim Mbarki, Rachid Oubrahim)....Pages 283-289 On Intuitionistic Fuzzy Vector Spaces (H. Sadiki, Said Melliani, I. Bakhadach, L. S. Chadli)....Pages 291-299 Time-Dependent Neutral Stochastic Delay Partial Differential Equations Driven by Rosenblatt Process in Hilbert Space (E. Lakhel, A. Tlidi)....Pages 301-320