"How to name variable with file name?"
That is very buggy data design. Consider what happens if the file has one of these perfectly legal filenames:
1.csv
1-2.csv
@1.csv
quit.csv
a+b.csv
a(2).csv
Sure, you work on a limited set of filenames... then your colleague tries it with their files. Or in six months you forget this pointless filename restriction deep inside your code-base. Or you want to distribute your code and give other users a good impression. Why do you want to intentionally build latent bugs into your code?
"i want ... a variable automatically named"
Dynamically naming or accessing variable names is one way that beginners force themselves into writing slow, complex, obfuscated, buggy code which is difficult to debug. Your .mat file data will be much easier to process when the variable names are the same in every .mat file.
"Can someone help me or tell me a better way to do this please?"
Simple: do not change the variable names.
