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FUZZY HV -SUBSTRUCTURES IN A TWO DIMENSIONAL EUCLIDEAN VECTOR SPACE | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 6، شماره 4، اسفند 2009، صفحه 1-9 اصل مقاله (181.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2009.512 | ||
| نویسندگان | ||
| Achilles Dramalidis؛ Thomas Vougiouklis* | ||
| School of Sciences of Education, Democritus University of Thrace, 681 00 Alexandroupolis, Greece | ||
| چکیده | ||
| In this paper, we study fuzzy substructures in connection with Hv-structures. The original idea comes from geometry, especially from the two dimensional Euclidean vector space. Using parameters, we obtain a large number of hyperstructures of the group-like or ring-like types. We connect, also, the mentioned hyperstructures with the theta-operations to obtain more strict hyperstructures, as Hv-groups or Hv-rings (the dual ones). | ||
| کلیدواژهها | ||
| Hv-structures؛ Hv-group؛ Fuzzy sets؛ Fuzzy Hv-group | ||
| مراجع | ||
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[1] N. Antampoufis, Hypergroups and Hb-groups in complex numbers, Proceedings of 9th AHA Congress, Journal of Basic Science, Babolsar, Iran, 4(1) (2008), 17-25. [2] P. Corsini and V. Leoreanu, Applications of hyperstructures theory, Kluwer Academic Publishers, Boston/Dordrecht/London. [3] B. Davvaz, Fuzzy Hv-groups, Fuzzy Sets and Systems, 101 (1999), 191-195. [4] B. Davvaz, T-fuzzy Hv-subrings of an Hv-ring, J. Fuzzy Math., 11(1) (2003), 215-224. [5] A. Dramalidis, Dual Hv-rings, Rivista di Mathematica Pura ed Applicata, 17 (1996), 55-62. [6] A. Dramalidis, On some classes of Hv-structures, Italian Journal of Pure and Applied Mathematics, 17 (2005), 109-114. [7] A. Dramalidis and T. Vougiouklis, Two fuzzy geometric-like hyperoperations defined on the same set, 9th AHA, Iran, 2005. [8] S. Hoskova, Binary hyperstructures determined by relational and transformation systems, Habilitation thesis, Faculty of Science, University of Ostrava, (2008) 90. [9] S. Hoskova and J. Chvalina, Abelizations of proximal Hv-rings using graphs of good homomorphisms and diagonals of direct squares of hyperstructures, 8th AHA, Greece, (2003), 147-158. [10] S. Hoskova and J. Chvalina, Discrete transformation hypergroups and transformation hypergroups with phase tolerance space, Discrete Mathematics, 308(18) (2008), 4133-4143. [11] L. Konguetsof, Sur les hypermonoides, Bulletin de la Societe Mathematique de Belgique, t. XXV, 1973. [12] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517. [13] T. Vougiouklis, The fundamental relation in hyperrings: the general hyperfield, Proc. 4th AHA, World Scientific, (1991), 203-211. [14] T. Vougiouklis, Hyperstructures and their representations, Monographs, Hadronic Press, USA, 1994. [15] T. Vougiouklis, A new class of hyperstructures, J. Comb. Inf. Syst. Sciences, 20 (1995), 229-235. [16] T. Vougiouklis, The @ hyperoperation, Proceedings: Structure Elements of Hyperstructures, Alexandroupolis, Greece, (2005), 53-64. [17] T. Vougiouklis, Hv-fields and Hv-vector spaces with @-operations, Proceedings of the 6th Panhellenic Conference in Algebra and Number Theory, Thessaloniki, Greece, (2006), 95- 102. | ||
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