FORMAL BALLS IN FUZZY PARTIAL METRIC SPACES

نویسندگان
Wu, Jiyu ID 1
Yue, Yueli ID 2

1 Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China

2 Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China

doi
10.22111/ijfs.2017.3138
چکیده

In this paper, the poset $BX$ of formal balls is studied in fuzzy partial metric space $(X,p,*)$. We introduce the notion of layered complete fuzzy partial metric space and get that the poset $BX$ of formal balls is a dcpo if and only if $(X,p,*)$ is layered complete fuzzy partial metric space.

کلیدواژه‌ها
Fuzzy partial metric, Formal ball, $mathcal{Q}$-category, Domain