Geodesic
Semicompactness in Fuzzy Topological Spaces
Bulletin of the Malaysian Mathematical Society, Tome 28 (2005) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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The paper deals with the concept of semicompactness in the generalized setting of a fuzzy topological space. We achieve a number of characterizations of a fuzzy semicompact space. The notion of semicompactness is further extended to arbitrary fuzzy sets. Such fuzzy sets are formulated in different ways and a few pertinent properties are discussed. Finally we compare semicompact fuzzy sets with some of the existing types of compact-like fuzzy sets. We ultimately show that so far as the mutual relationships among different existing allied classes of fuzzy sets are concerned, the class of semicompact fuzzy sets occupies a natural position in the hierarchy.
Classification : 54A40; Secondary 54D99. 
@article{BMMS_2005_28_2_a10,
     author = {R.P. Chakraborty and A. Bhattacharyya and M.N. Mukherjee},
     title = {Semicompactness in {Fuzzy} {Topological} {Spaces}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2005},
     volume = {28},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2005_28_2_a10/}
}
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R.P. Chakraborty; A. Bhattacharyya; M.N. Mukherjee. Semicompactness in Fuzzy Topological Spaces. Bulletin of the Malaysian Mathematical Society, Tome 28 (2005) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2005_28_2_a10/