The fuzzy metric space based on fuzzy measure

• Autorzy: Jialiang Xie , Qingguo Li , Shuili Chen , Huan Huang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fuzzy measure; Fuzzy metric space; t-Norm, Nonatom; Convex

Kategorie tematyczne

• 60B05: Probability measures on topological spaces
• 54E70: Probabilistic metric spaces
• 54A40: Fuzzy topology

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 603-612

Daty

wydano

2016-01-01

otrzymano

2016-05-14

zaakceptowano

2016-07-05

online

2016-09-20

Twórcy

autor

Jialiang Xie

• College of Science, Jimei University, Xiamen, Fujian, 361021, P. R.,

autor

Qingguo Li

• College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, P. R.,

autor

Shuili Chen

• Chengyi University College, Jimei University, Xiamen, Fujian, 361021, P. R.

autor

Huan Huang

• College of Science, Jimei University, Xiamen, Fujian, 361021, P. R.

Identyfikatory

DOI

10.1515/math-2016-0051