Volume 4 • Issue 2 • PP: 40-43 • 2023
A General Study of Fuzzy Co-Pre-Hilbert Spaces
Open Access & Copyright
© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
Abstract
This paper introduces the concepts fuzzy pre-Hilbert spaces and fuzzy co-pre-Hilbert spaces and proves some theorems in this subject. Also, it illustrates many examples to clarify the validity of the new concepts.
Keywords
References
[1] A. George and P. Veeramani, (1994) “On some results in fuzzy metric spaces,” Fuzzy sets and systems, vol.64, no. 3, 395 –399.
[2] Chris Cornelis, Glad Deschrijver, Etienne E. Kerre, (2004), “Implication in intuitionistic fuzzy andinterval-valued fuzzy set theory: construction, classification, application”, International Journal of Approximate Reasoning , 35 , 55–95.
[3] M. Goudarzi, S. M. Vaezpour, Saadati, (2009) “On the intuitionistic fuzzy inner product spaces”, Chaos Solitons and fractals, 41, 1105 – 1112.
[4] M. Goudarzi, S. M.Vaezpour, (2009) “On the definition of fuzzy Hilbert spaces and its application”, J.Nonlinear Sci.Appl., 2, no.1.
[5]V. Gregori, S. Romaguera, P. Veereamani, (2006), “A note on intuitionistic fuzzy metric spaces”, Chaos Solitons and fractals 28, 902 – 905.
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