Fuzzy near best approximation as a generalization of fuzzy best approximation

Articles in Press

Document Type : Research Paper

Authors

Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran

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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References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 11 December 2024

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History

  • Receive Date: 29 March 2024
  • Revise Date: 24 October 2024
  • Accept Date: 06 December 2024

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