دانشگاه آزاد اسلامی واحد علوم و تحقیقات

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عباسبندی, سعید, Gholami, N., Karamikabir, Nasrin. (1401). Investigating the Relationship between Ordinary and Fuzzy Inner Product Spaces. , (), -. doi: 10.30495/jnrm.2023.51656.1868
سعید عباسبندی; N. Gholami; Nasrin Karamikabir. "Investigating the Relationship between Ordinary and Fuzzy Inner Product Spaces". , , , 1401, -. doi: 10.30495/jnrm.2023.51656.1868
عباسبندی, سعید, Gholami, N., Karamikabir, Nasrin. (1401). 'Investigating the Relationship between Ordinary and Fuzzy Inner Product Spaces', , (), pp. -. doi: 10.30495/jnrm.2023.51656.1868
عباسبندی, سعید, Gholami, N., Karamikabir, Nasrin. Investigating the Relationship between Ordinary and Fuzzy Inner Product Spaces. , 1401; (): -. doi: 10.30495/jnrm.2023.51656.1868

Investigating the Relationship between Ordinary and Fuzzy Inner Product Spaces

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 دی 1401  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.51656.1868
نویسندگان
سعید عباسبندی email orcid 1؛ N. Gholami2؛ Nasrin Karamikabir3
1Imam Khomeini International University
2Islamic Azad University, Hamedan branch, Hamedan, Iran
3Islamic Azad University, Hamedan Branch, Hamedan, Iran
چکیده
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.
کلیدواژه‌ها
Fuzzy reproducing kernel؛ Fuzzy convergence؛ Fuzzy Hilbert space
آمار
تعداد مشاهده مقاله: 19


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