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Issue:The convergence of intuitionistic fuzzy sets: Difference between revisions

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(Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = The convergence of intuitionistic fuzzy sets | shortcut = nifs/28/1/37-45 }} {{issue/author | author = Said Melliani | institution = LMACS, Sultan Moulay Slimane University | address = BP 523, 23000, Beni Mellal, Morocco | email-bef...")
 
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  | file            = NIFS-28-1-37-45.pdf
  | file            = NIFS-28-1-37-45.pdf
  | format          = PDF
  | format          = PDF
  | size            = 301
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  | abstract        = In the present paper, we first introduce a new intuitionistic fuzzy distance. Relationships between three kinds of convergences compared to this distance are studied in this paper. We will give necessary and sufficient conditions to have a convergence equivalence for these four metrics.
  | abstract        = In the present paper, we first introduce a new intuitionistic fuzzy distance. Relationships between three kinds of convergences compared to this distance are studied in this paper. We will give necessary and sufficient conditions to have a convergence equivalence for these four metrics.
  | keywords        = Intuitionistic fuzzy metric, Levelwise convergence, Supported endographs
  | keywords        = Intuitionistic fuzzy metric, Levelwise convergence, Supported endographs

Latest revision as of 23:08, 1 April 2022

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Title of paper: The convergence of intuitionistic fuzzy sets
Author(s):
Said Melliani
LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
s.melliani@usms.ma
M'hamed Elomari
LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
m.elomari@usms.ma
Lalla Saadia Chadli
LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
sa.chadli@yahoo.fr
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 1, pages 37–45
DOI: https://doi.org/10.7546/nifs.2022.28.1.37-45
Download:  PDF (198  Kb, Info)
Abstract: In the present paper, we first introduce a new intuitionistic fuzzy distance. Relationships between three kinds of convergences compared to this distance are studied in this paper. We will give necessary and sufficient conditions to have a convergence equivalence for these four metrics.
Keywords: Intuitionistic fuzzy metric, Levelwise convergence, Supported endographs
AMS Classification: 03F55
References:
  1. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy sets and Systems, 20(1), 87–96.
  2. Brezis, H. (2010). Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer.
  3. Castaing, C., & Valadier, M. (1977). Convex Analysis and Measurable Multifunctions, Springer, Berlin.
  4. Dubois, D., & Prade, H. (1980). Fuzzy Sets and Systems, Academic Press, New York.
  5. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015). Extension of Hukuhara difference in intuitionistic fuzzy set theory. Notes on Intuitionistic Fuzzy Sets, 21(4), 34–47.
  6. Melliani, S., Elomari, M., Chadli, L.S., & Ettoussi, R. (2015). Intuitionistic fuzzy metric space. Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
  7. Kaleva, O. (1985). On The Convergence of fuzzy sets. Fuzzy Sets and Systems, 17 (1), 53–65.
  8. Kloeden, P. E. (1980). Compact supported endographs and fuzzy sets. Fuzzy Sets and Systems, 4, 193–201.
  9. Puri, M. L., & Ralescu, D. A. (1983). Differentials of fuzzy functions. Journal of Mathematical Analysis and Applications, 91, 552–558.
  10. Zadeh L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
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