Any applications of fuzzy linear programming in optimal control problems?

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Mohamed-Mourad Lafifi

Dear Boris,

I suggest you to take a look at links ans attached file.

- ON Fuzzy Linear Programming Technique Application | IJSRD ...

www.academia.edu/.../ON_Fuzzy_Linear_Programming_Techniqu...

- FuzzyLP: an R package for solving Fuzzy Linear Programming problems

https://cran.r-project.org/web/packages/FuzzyLP/.../FuzzyLP.pdf

- Fully fuzzy linear programming with inequality constraints

ijim.srbiau.ac.ir/article_2162_8e908a52ca98e253847ad85ecfc249...

- Approximate reasoning for solving fuzzy linear programming problems

uni-obuda.hu/users/fuller.robert/acift92.pdf

Best regards

Richard Epenoy

Hi, what is exactly your goal? Do you want to solve optimal control problems (with ODE or PDE) assuming that some constraints are not "exact" by satisfied in the fuzzy set sense?

Boris Pérez-Cañedo

Dear Professor Richard Epenoy ,

I would like to gather some references of published works on mainly discrete optimal control problems in which the state and control variables are assumed to be fuzzy numbers and also are all coefficients in the associated optimization problem. I am interested mainly in the linear case; i.e. fuzzy (and fully fuzzy) linear programming.

I must say that I don't have a particular optimal control problem. I would appreciate some references, insights and advice on the attractiveness of this topic as a possible research project.

Thank you very much.

Hi, if your discrete optimal control problem is linear (with respect to the state and the control variable), this will lead to a fuzzy linear programming problem you are true. A survey on this topic can be found attached. Best

Professor Mohamed-Mourad Lafifi , thank you for your answer.

Thank you Professor Richard Epenoy .

Erik Cuevas

Excellent answers