Generalized Complex Fuzzy and Anti-Fuzzy H_v-Subgroups
Main Article Content
Abstract
In this paper, we introduce the concept of generalized complex fuzzy subhypergroup ($H_{v}$-subgroup) as well as the generalized concept of complex anti-fuzzy subhypergroup ($H_{v}$-subgroup). We investigate their properties and their relations with the generalized traditional fuzzy (anti-fuzzy) subhypergroup ($H_{v}$-subgroup).
Article Details
References
- M. Al-Tahan, B. Davvaz, Complex fuzzy Hv-subgroups of an Hv-group, submitted.
- P. Corsini, Join spaces, power sets, fuzzy sets, Proceedings of the Fifth Int. Congress of Algebraic Hyperstructures and Appl., 1993, Iasi, Romania, Hadronic Press, 1994.
- P. Corsini, A new connection between hypergroups and fuzzy sets, Southeast Asian Bull. Math. 27(2003), 221-229.
- P. Corsini and V. Leoreanu, Applications of Hyperstructures Theory, Advances in Mathematics, Kluwer Academic Pub- lisher, 2003.
- B. Davvaz, Fuzzy Hv-groups, Fuzzy sets Syst. 101 (1999), 191-195.
- B. Davvaz, Polygroup Theory and Related Systems, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013. viii+200 pp.
- B. Davvaz and I. Cristea, Fuzzy Algebraic Hyperstructures- An introduction, Studies in Fuzziness and Soft Computing 321. Cham: Springer, 2015.
- F. Marty, Sur une generalization de la notion de group, In 8th Congress Math. Scandenaves, (1934), 45-49.
- A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512?17.
- D. Ramot, R. Milo, M. Friedman and A. Kandel, Complex fuzzy logic, IEEE trans. fuzzy syst. 10(2) (2002), 171-186.
- D. Ramot, M. Friedman, G. Langholz and A. Kandel, Complex fuzzy sets, IEEE trans. fuzzy syst. 11(4) (2003), 450-461.
- T. Vougiouklis, Hyperstructures and Their Representations, Aviani editor. Hadronic Press, Palm Harbor, USA, 1994.
- T. Vougiouklis, A new class of hyperstructures, J. Combin. Inform. Syst. Sci. 20 (1995), 229?35.
- T. Vougiouklis, The fundamental relation in hyperrings. The general hyperfield, In: Proc of the 4th int. congress on algebraic hyperstructures and appl. (A.H.A 1990). World Sientific, Xanthi, Greece, pp 203-211.
- L. A. Zadeh, Fuzzy sets, Inf. Control 8 (1965), 338-353.