Fuzzy set theory becomes ordinary set theory when you define membership functions with two truth values: .t., .f. This way, fuzzy set theory is more General and the correspondence principle is fulfilled for it.

Dear Sura Mahmood Abdullah,

If you have to resolve an incertitude problem, Rough set can easily make it without having knowledge of the process. If you have information on your process determining membership functions becomes easy, so you will see the difference in handling uncertainties between the two methods.

To get a little more of the subject, I advise you to take a look at the links and the attached files.

https://www.researchgate.net/post/When_should_one_use_Fuzzy_set_theory_and_Rough_set_theory_Is_there_any_clear-cut_line_of_difference_between_them

https://www.sciencedirect.com/science/article/pii/S2468232216300786

Best regards

Hi

Please check the following work. It describes the process in details. I believe it will help you.

https://www.hindawi.com/journals/complexity/2017/1608147/

Regards

Have a look at Article Integrating Soft Set Theory and Fuzzy Linguistic Model to Ev...

I recommend the textbook for your reference.

Book Fuzzy Logic With Engineering Applications

I recommend the following article:-

Article Implementing algorithms of rough set theory and fuzzy rough ...