| Title of paper:
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Intuitionistic fuzzy semigroup
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| Author(s):
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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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| S. 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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| s.melliani@yahoo.fr
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| R. Ettoussi
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| L. S. 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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| Presented at:
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19th International Conference on Intuitionistic Fuzzy Sets, 4–6 June 2015, Burgas, Bulgaria
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 2, pages 43—50
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| Download:
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 PDF (187 Kb, File info)
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| Abstract:
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In this work, we generalize the definition of a intuitionistic fuzzy strongly continuous semi-group and its generator. We establish some of their properties and some results about the existence and uniqueness of solutions for intuitionistic fuzzy equation.
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| Keywords:
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Intuitionistic fuzzy semigroup, Intuitionistic fuzzy strongly continuous semi-group.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets : Theory and Applications, Springer Physica-Verlag, Heidelberg.
- Atanassov, K. T., Vassilev, P. M., & Tsvetkov, R. T. (2013) Intuitionistic Fuzzy Sets, Measures and integrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic Publishing House, Sofia.
- Bede, B., &Gal, S. G.(2005) Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems, 151, 581–599.
- Melliani, S., Elomari, M., Chadli, L. S. & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Melliani, S., Ettoussi, R., Elomari, M. & Chadli, L. S. Solution of intuitionistic fuzzy differential equations (submitted in Notes on Intuitionistic Fuzzy Sets).
- Gal, C. G., & Gal, S. G. (2013) Semigroups of Operators on Spaces of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations, arXiv:1306.3928v1, 17 June 2013.
- Klement, E. P., Puri, M. L., & Ralescu, D. A. (1986) Limit Theorems for Fuzzy Random Variables, Proc. R. Soc. Lond. A 407, 171–182.
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