The fuzzy metric space based on fuzzy measure
Jialiang Xie ; Qingguo Li ; Shuili Chen ; Huan Huang
Open Mathematics, Tome 14 (2016), p. 603-612 / Harvested from The Polish Digital Mathematics Library
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In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286772 
@article{bwmeta1.element.doi-10_1515_math-2016-0051,
     author = {Jialiang Xie and Qingguo Li and Shuili Chen and Huan Huang},
     title = {The fuzzy metric space based on fuzzy measure},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {603-612},
     zbl = {1348.54024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0051}
}

Jialiang Xie; Qingguo Li; Shuili Chen; Huan Huang. The fuzzy metric space based on fuzzy measure. Open Mathematics, Tome 14 (2016) pp. 603-612. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0051/