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1 - Investigating the Relationship between Ordinary and Fuzzy Inner Product Spaces
Nasim Gholami Saeid Abbasbandy Nasrin Karamikabir
10.30495/jnrm.2023.51656.1868

In this paper, we study the relationship between ordinary inner product spaces and fuzzy inner product spaces. We introduce fuzzy inner product as ⟨.,.⟩(.). Also, we write norm by parameter. Here are some types of arbitrary spaces. We show that these spaces are fuzzy in More

In this paper, we study the relationship between ordinary inner product spaces and fuzzy inner product spaces. We introduce fuzzy inner product as ⟨.,.⟩(.). Also, we write norm by parameter. Here are some types of arbitrary spaces. We show that these spaces are fuzzy inner product spaces. Furthermore, we investigate fuzzy convergence, fuzzy Cauchy, fuzzy complete and fuzzy Hilbert in the space W^m [0,1] by fuzzy inner space which is in the form ⟨.,.⟩(.). We study relationship between ordinary Hilbert space and fuzzy Hilbert space. Then we give a new definition of the fuzzy reproducing kernel property, where fuzzy inner product is by parameter λ. The properties of the fuzzy reproducing kernel are completely discussed in this paper. We study relationship between ordinary Hilbert space and fuzzy Hilbert space. Then we give a new definition of the fuzzy reproducing kernel property, where fuzzy inner product is by parameter λ. The properties of the fuzzy reproducing kernel are completely discussed in this paper. Manuscript profile

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List of Articles Nasrin Karamikabir