I would like to suggest that you read my article 'the theory of fuzzy sets: beliefs and realities' once. About the validity of fuzzy topology and such other things, you will yourself be able to decide quite a few things thereafter! In that article, i have shown why zadeh's definition of complement of a fuzzy set is wrong. Try to define matters associated to topology and other such things accordingly. I hope, you would arrive at some answer to your question.

Ok, I read the article and then I give my view.

Have you gone through my article? Any comment?

I read your article but i could not find my answer.

Actually I want to construct a topology over X by using its fuzzy soft subsets instead of crisp subsets or fuzzy subsets. So to convert some topological properties to this area i must define my topology as a good extension of previous topology over X.

So my question is :

to define this new topology I should follow the way in which classical topology is defined or

i should follow the manner which lowen introduce to define a fuzzy topology

You will find a lot of material on this topic in the net. However, search for certain articles on fuzzy soft sets by D. K. SUT, T. J. NEOG, etc. This group of four persons have certain articles that might be of help. In their articles, you will find the mail ID of D. K. SUT (Dushmanta Kuamr Sut). You may write to him directly asking for information that you need. When you write to him, mention my name in your letter. He will definitely help you.

Thank you for your recommendation. Actually , I am working on a new paper about separation axioms in fuzzy soft sets and may be I can discuss with them about further questions.

I have talked to D. K. Sut over phone regarding your research problem. His contact number is 0091-9435576459. You may perhaps talk with him when you need some assistance. Best of luck.

Thanks alot i trying to find and read their articles and then contact with them

best wishes

In fact, they have quite a few articles dealing with soft fuzzy sets. Search in Google for the article 'Theory of Fuzzy Sets: Beliefs and Realities', and you will find in the list of citations the concerned works of this group. I have seen those citations, and that is why I am telling you so.

I have constructed my topology and submitted a new paper and i hope it will be published.

in my paper i introduce a topology over a set by applying its fuzzy soft sets instead of its crisp subsets.

and by this manner i could define a map which makes a connection between initial topology over universe and fuzzy soft topology.

what do you think about that?

You can perhaps send me the article. Let me go through it once. [email protected].

I think it is your own choice of proceeding with fuzzy topology or point set topology. But I would appreciate to cooperate on this with any one doing research. If  you want to go ahead then you can let me know by my email address  [email protected].

Fuzzy topology is new to me. So, I can't provide answer now

You can use point set topology since it has some clear characterizations