Issue:Intuitionistic fuzzy semigroup

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http://ifigenia.org/wiki/issue:nifs/21/2/43-50

Title of paper: Intuitionistic fuzzy semigroup Author(s): M'hamed Elomari Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Said Melliani Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco s.melliani@yahoo.fr Razika Ettoussi Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Lalla Saadia Chadli Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Presented at: 19th International Conference on Intuitionistic Fuzzy Sets, 4–6 June 2015, Burgas, Bulgaria Published in: "Notes on IFS", Volume 21, 2015, Number 2, pages 43—50 Download:  PDF (187  Kb, Info) Abstract: 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. Keywords: Intuitionistic fuzzy semigroup, Intuitionistic fuzzy strongly continuous semi-group. AMS Classification: 03E72. References: 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. Citations: Issue:Representation of complex grades of membership and non-membership for a complex intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy α-semigroup ‎ (← links) Issue:Intuitionistic fuzzy quasi-interior ideals of semigroups ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.