The article considers the models of memoryless and memory-powered cellular automata based on fuzzy logic. It shows that the use of fuzzy logic methods in cellular automata algorithms allows increasing greater flexibility and simplifying the formalization of expert knowledge. We have discussed the problem how to calculate the dynamic changes of the temperature field with the given boundary conditions. A matrix approach of fuzzy logic has been used for all calculations. This approach simplifies the implementation of the algorithm and reduces the requirements for computational resources. We have also shown how to take into account temperature memory and how the results could be applied to solve a more complex problem of a temperature field control.