Fuzzy near best approximation as a generalization of fuzzy best approximation

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Khoddami A. R.; Tourani R.

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2025 | Volume:14 | Issue:2 Page(s): 21-37

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Title

Fuzzy near best approximation as a generalization of fuzzy best approximation

Author(s)

Khoddami A. R. | Tourani R. | Issue Writer Certificate

Keywords

‎Fuzzy near best approximation

Direct sum

Tensor product

Fuzzy norm‎

Abstract

‎‎‎Given a fuzzy normed space, we will introduce the notion of fuzzy near best approximation as a generalization of the notion of fuzzy best approximation. Some basic properties are characterized and also many examples for illustration are presented. Also, the hereditary properties of the fuzzy near best approximation on Direct sum and Tensor product of linear spaces are discussed.

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