In this paper we introduce the concepts of fuzzy TL-uniform spaces by means of coverings, where T stands for any continuous triangular norm. We show that the structure of covering TL-uniform spaces are isomorphic to fuzzy TL-uniform spaces as defined by Hashem and Morsi (2006) [5]. In particular, we study the continuity of functions between covering TL-uniform spaces, the I-topological space associated with a covering TL-uniform space. Also, we define the notions of level covering uniformities for a covering TL-uniformity. Moreover, we deduce a number of functors between categories of covering TL-uniform spaces, fuzzy TL-uniform spaces, covering uniform spaces and uniform spaces.
Hashem, K. (2012). Characterization of TL-uniform spaces by coverings. Journal of the Egyptian Mathematical Society, 20(2), 98-107. doi: org/10.1016/j.joems.2012.08.003
MLA
Khaled A. Hashem. "Characterization of TL-uniform spaces by coverings", Journal of the Egyptian Mathematical Society, 20, 2, 2012, 98-107. doi: org/10.1016/j.joems.2012.08.003
HARVARD
Hashem, K. (2012). 'Characterization of TL-uniform spaces by coverings', Journal of the Egyptian Mathematical Society, 20(2), pp. 98-107. doi: org/10.1016/j.joems.2012.08.003
VANCOUVER
Hashem, K. Characterization of TL-uniform spaces by coverings. Journal of the Egyptian Mathematical Society, 2012; 20(2): 98-107. doi: org/10.1016/j.joems.2012.08.003
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