Intuitioinistic Fuzzy Hilbert Space

Melliani, Said; Elomari, M.; Chadli, L. S.

doi:10.1007/978-3-030-02155-9_12

Said Melliani⁴,
M. Elomari⁴ &
L. S. Chadli⁴

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 372))

313 Accesses
1 Citations

Abstract

In the present paper we benefit the generalized Hukuhar’s difference in order to built an intuitionistic fuzzy vector space and a Hilbert space on the set of all intuitionistic fuzzy numbers. Also we give a proof of the existence and uniqueness of an approximation triangular of an intuitionistic fuzzy number.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Hardcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

K.T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)
Article Google Scholar
M.L. Puri, D.A. Ralescu, Fuzzy random variables. J. Math. Anal. Appl. 114, 409–422 (1986)
Article MathSciNet Google Scholar
Chi-Tsuen Yeh, Weighted trapezoidal and triangular approximations of fuzzy numbers. Fuzzy Sets Syst. 160, 3059–3079 (2009)
Article MathSciNet Google Scholar
S. Melliani, M. Elomari, L.S. Chadli, R. Ettoussi, Intuitionistic fuzzy metric space. Notes Intuitionistic Fuzzy Sets 21(1), 43–53 (2015)
Google Scholar
M. Melliani, S. Elomari, L.S. Chadli, R. Ettoussi, Extension of Hukuhara difference in intuitionist fuzzy set theory. Notes on Intuitionistic Fuzzy Sets 21(4), 34–47 (2015)
Google Scholar
H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations (Springer, Berlin, 2010)
Book Google Scholar
O. Kaleva, S. Seikkala, On the convergence of fuzzy sets. Fuzzy Sets Syst. 17, 53–65 (1985)
Article MathSciNet Google Scholar
L. Stefanini, B. Bede, Generalized hukuhara differentiability of interval-valued functions and interval differential equations. Nonlinear Anal. 71(34), 1311–1328 (2009)
Article MathSciNet Google Scholar
R. Ettoussi, S. Melliani, L.S. Chadli, Differential equation with intuitionistic fuzzy parameters. Notes Intuitionistic Fuzzy Sets 23(4), 46–61 (2017)
Google Scholar
L.A. Zadeh, Fuzzy sets. Inf. Control 8, 338–353 (1965)
Article Google Scholar

Download references

Author information

Authors and Affiliations

Sultan Moulay Slimane University, BP, 523, Beni Mellal, Morocco
Said Melliani, M. Elomari & L. S. Chadli

Authors

Said Melliani
View author publications
You can also search for this author in PubMed Google Scholar
M. Elomari
View author publications
You can also search for this author in PubMed Google Scholar
L. S. Chadli
View author publications
You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Said Melliani .

Editor information

Editors and Affiliations

Department of Mathematics, Université Sultan Moulay Slimane, Beni Mellal, Morocco
Said Melliani
Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico
Oscar Castillo

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Melliani, S., Elomari, M., Chadli, L.S. (2019). Intuitioinistic Fuzzy Hilbert Space. In: Melliani, S., Castillo, O. (eds) Recent Advances in Intuitionistic Fuzzy Logic Systems. Studies in Fuzziness and Soft Computing, vol 372. Springer, Cham. https://doi.org/10.1007/978-3-030-02155-9_12

Download citation

DOI: https://doi.org/10.1007/978-3-030-02155-9_12
Published: 09 October 2018
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02154-2
Online ISBN: 978-3-030-02155-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)

Publish with us

Policies and ethics