T-proximity compatible with T-neighbourhood structure
org/10.1016/j.joems.2012.08.004
Abstract
In this paper, we show that every T-neighbourhood space induces a T-proximity space, where T stands for any continuous triangular norm. An axiom of T-completely regular of T-neighbourhood spaces introduced by Hashem and Morsi (2003) [3], guided by that axiom we supply a Sierpinski object for category T-PS of T-proximity spaces. Also, we define the degree of functional T-separatedness for a pair of crisp fuzzy subsets of a T-neighbourhood space. Moreover, we define the Cˇ ech T-proximity space of a T-completely regular T-neighbourhood space, hence, we establishes it is the finest T-proximity space which induces the given T-neighbourhood space.
(2012). T-proximity compatible with T-neighbourhood structure. Journal of the Egyptian Mathematical Society, 20(2), 108-115. doi: org/10.1016/j.joems.2012.08.004
MLA
. "T-proximity compatible with T-neighbourhood structure". Journal of the Egyptian Mathematical Society, 20, 2, 2012, 108-115. doi: org/10.1016/j.joems.2012.08.004
HARVARD
(2012). 'T-proximity compatible with T-neighbourhood structure', Journal of the Egyptian Mathematical Society, 20(2), pp. 108-115. doi: org/10.1016/j.joems.2012.08.004
VANCOUVER
T-proximity compatible with T-neighbourhood structure. Journal of the Egyptian Mathematical Society, 2012; 20(2): 108-115. doi: org/10.1016/j.joems.2012.08.004
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