| Title of paper:
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Intuitionistic fuzzy actions
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| Author(s):
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| Said Melliani
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| said.melliani@gmail.com
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| M. Elomari
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| m.elomari@gmail.com
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| I. Bakhadach
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| idris.bakhadach@gmail.com
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| Lalla Saadia Chadli
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| sa.chadli@yahoo.fr
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 24, 2018, Number 3, pages 11—26
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.3.11-26
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| Download:
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 PDF (197 Kb, File info)
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| Abstract:
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In this paper is we will try to generalizes actions of a group on a set to deal with situations where imprecision and uncertainty are present. Intuitionistic Fuzzy actions can handle the granularity of a set or even create it by defining an intuitionistic fuzzy equivalence relation on it.
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| Keywords:
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Intuitionistic fuzzy subgroups, Intuitionistic fuzzy relations, (T; S)-indistinguishability.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K. (1983) Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Boixader, D., & Recasens, J. (2018) Fuzzy actions, Fuzzy Sets and Systems, 339, 17–30.
- Fathi, M. & Saleh, A. R. (2009) Intuitionistic fuzzy group, Asian Journal of Algebra, 2 (1), 1–10.
- Hur, K., Jang, S. Y. & Ahn, Y. S. (2005) Intuitionistic fuzzy equivalence relations, Honam Math. J., 27 (2), 163–181.
- Tarsuslu, S., Tarsuslu, A. & Citil, M. (2018) Intuitionistic fuzzy action of a group on a set, Notes on Intuitionistic Fuzzy Sets, 24 (2), 18–24.
- Dudek, W. A., Zhan, J., & Davvaz, B. (2008) Intuitionistic (S; T)-fuzzy hyperquasigroups, Soft Comput., 12, 1229–1238.
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