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Fuzzy Normed Spaces and Fuzzy Metric Spaces

2018
In this chapter, we define fuzzy normed spaces and show that every fuzzy normed space induces a fuzzy metric space. Then we consider the topology induced by fuzzy normed (metric) spaces and show some important topological properties of them. Next, we study fuzzy inner product spaces and some properties of these spaces.
Yeol Je Cho   +2 more
openaire   +1 more source

Fuzzy Inner Product and Fuzzy Norm \\of Hyperspaces

2014
We introduce and study fuzzy (co-)inner product and fuzzy (co- )norm of hyperspaces. In this regard by considering the notion of hyperspaces, as a generalization of vector spaces, rst we will introduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions of fuzzy (co-)norm and fuzzy (co-)orthogonality in ...
openaire   +1 more source

0-Norm of Fuzzy Normed Linear Space

Advances in Applied Mathematics, 2023
openaire   +1 more source

On type-2 fuzzy sets and their t-norm operations

Information Sciences, 2014
Bao Qing Hu, C K Kwong
exaly  

t-Norm-based addition of fuzzy intervals

Fuzzy Sets and Systems, 1992
Robert Fuller
exaly  

Generalized fuzzy c-means clustering strategies using L/sub p/ norm distances

IEEE Transactions on Fuzzy Systems, 2000
R J Hathaway, J C Bezdek, Yingkang Hu
exaly  

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