A Limit Theorem on Fuzzy Set-Valued Random Variables in Fuzzy Metric Space

2022 ◽  
pp. 359-367
Author(s):  
Li Guan ◽  
Juan Wei ◽  
Chang Liu
Keyword(s):  
Limit Theorem ◽  
Fuzzy Set ◽  
Metric Space ◽  
Random Variables ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric

scholarly journals Fixed point theorem in fuzzy metric space

2016 ◽  
Vol 34 (1) ◽  
pp. 273-277
Author(s):  
Santanu Acharjee
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fuzzy Set ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
New Class

In this paper we prove a fixed point theorem on a fuzzy set defining a new class of fuzzy metric space as structure fuzzy metric space.

scholarly journals The Strong Laws of Large Numbers for Set-Valued Random Variables in Fuzzy Metric Space

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1192
Author(s):  
Li Guan ◽  
Juan Wei ◽  
Hui Min ◽  
Junfei Zhang
Keyword(s):  
Metric Space ◽  
Limit Theorems ◽  
Hausdorff Metric ◽  
Random Variables ◽  
Fuzzy Metric Space ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Fuzzy Metric ◽  
Large Numbers ◽  
Definition Of

In this paper, we firstly introduce the definition of the fuzzy metric of sets, and discuss the properties of fuzzy metric induced by the Hausdorff metric. Then we prove the limit theorems for set-valued random variables in fuzzy metric space; the convergence is about fuzzy metric induced by the Hausdorff metric. The work is an extension from the classical results for set-valued random variables to fuzzy metric space.

scholarly journals A fixed point theorem in a generalized fuzzy metric space

2014 ◽  
Vol 32 (2) ◽  
pp. 221 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Sudipta Paul ◽  
Nanda Ram Das
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Mapping ◽  
Fuzzy Metric

We prove a fixed point theorem for uniformly locally contractive fuzzy mapping in a generalized fuzzy metric space.

Vector-valued variational principle in fuzzy metric space and its applications

2001 ◽  
Vol 119 (2) ◽  
pp. 343-354 ◽  
Author(s):  
Jiang Zhu ◽  
Cheng-Kui Zhong ◽  
Ge-Ping Wang
Keyword(s):  
Variational Principle ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Vector Valued
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