Characterization of TL-uniform spaces by coverings | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 20, Issue 2, 2012, Page 98-107 PDF (363.85 K) | ||||
| DOI: org/10.1016/j.joems.2012.08.003 | ||||
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| Author | ||||
| Khaled A. Hashem | ||||
| Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt | ||||
| Abstract | ||||
| 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. | ||||
| Keywords | ||||
| Triangular norm; overing TL-uniform spaces; Fuzzy TL-uniform spaces; I-topological spaces | ||||
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