Generalized Tychonoff theorem in L-fuzzy supratopological spaces

What is it about?

In this paper, using the structures of (L,L)-fuzzy product supratopological spaces which were introduced by Hu Zhao and Gui-xiu Chen, we give a proof of generalized Tychonoff theorem in L-fuzzy supratopological spaces by means of implication operations.

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Why is it important?

However, some results on compactness in (L,M)- fuzzy product supratopological spaces were not given, including some similar results on precompactness, semi-compactness and sp-compactness in (L,M)-fuzzy topological product spaces were not obtained, especially when M is equal to L.