Fuzzy mathematical techniques with applications
Fuzzy mathematical techniques with applications
Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Fuzzy Sets and Systems - Fuzzy Numbers
On the fuzzy initial value problem
Fuzzy Sets and Systems - Fuzzy Numbers
A possibilistic argument for irreversibility
Fuzzy Sets and Systems
Generalized information theory
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Some shape definitions in fuzzy geometry of space
Pattern Recognition Letters
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy evolutionary computation
Fuzzy evolutionary computation
Neuro-genetic approach to multidimensional fuzzy reasoning for pattern classification
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Attractors and asymptotic stability for fuzzy dynamical systems
Fuzzy Sets and Systems
Numerical methods for fuzzy initial value problems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Mathematical Models in Engineering and Management Science
Fuzzy Mathematical Models in Engineering and Management Science
A fuzzy dynamical system modelling of a disturbance leading to cyclogenesis
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Fuzzy fractals and fuzzy turbulence
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations
IEEE Transactions on Fuzzy Systems
Fuzzy knowledge-based and model-based systems
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
| Hi-index | 0.00 |
Uncertain information processing by fuzzy if-then rules has received much attention. Here we have taken a different path to model a system, about which we do not have precise information, namely modelling the system by fuzzy-valued functions without resorting to fuzzy if-then rules. As a result, the phase (state) space of the system becomes a fuzzy set and the underlying fuzzy mapping becomes a fuzzy attainability set mapping. Uncertain or fuzzy dynamical systems have been defined in terms of fuzzy attainability set mappings. Fuzzy differentiable dynamical systems have been discussed with a particular emphasis on fuzzy differential inclusion (FDI) relations. An evolutionary algorithm for solving one-dimensional FDIs has been developed. A model of the creation of a tropical cyclone in the form of a vortex, created by winds coming from different directions and colliding under certain conditions, has been proposed in terms of FDIs. A model has been considered for the highly uncertain system of evolution of a tumour in a human body and an FDI relation model of the whole system has been proposed and simulated. The model of an evolution of turbulence, as a random occurrence of vortices in a three-dimensional dynamic fluid, has been proposed and simulated, where each vortex is modelled by a fuzzy-valued function, where uncertain parameter and variable values are fuzzy numbers. All the systems represented by FDI relations have been simulated with the help of the evolutionary algorithm mentioned above.