Volume 2, Issue 3, December 2018, Pages: 59-68
Hu Zhao1* and Gui-xiu Chen2
1School of Science, Xi’an Polytechnic University, Xi’an, P.R. China,
2School of Mathematics and Statistics, Qinghai Normal University, Xining, P.R. China.
In 2017, Liang and Shi gave the new notions of the degrees of compactness in (L, M)-fuzzy supratopological spaces, they proved the notions of precompactness, semi-compactness and sp-compactness in (L, M)-fuzzy topological spaces can be viewd as special cases of compactness in (L, M)-fuzzy supratopological spaces. 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 product topological spaces were not obtained. Follow this idea, we first introduce the notions of (L, M)-fuzzy product supratopological spaces, then we give the structures of (L, M)-fuzzy product supratopological spaces. At last, we give an version on the proof of generalized Tychonoff theorem in (L, M)-fuzzy supratopological spaces.
(L, M)-fuzzy supratopology, product topological spaces, fuzzy compactness, generalized Tychonoff theorem
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