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Research Article

Fuzzy geometric spaces associated to fuzzy hypermodules

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Pages 1115-1127 | Received 01 Jun 2020, Published online: 17 Jun 2021

References

  • Ameri, R., Asghari-Larimi, M., and Firouzkouhi, N. (2018). Fuzzy geometric spaces associated to fuzzy hypersemigroups. Journal of Intelligent and Fuzzy Systems, 34, 703-709. doi: 10.3233/JIFS-162444
  • Ameri, R., Asghari-Larimi, M., and Firouzkouhi, N. (2019). Fuzzy geometric spaces associated to fuzzy hyperrings. Journal of Intelligent and Fuzzy Systems, 36, 2625-2630. doi: 10.3233/JIFS-181999
  • Ameri, R. (2003). On categories of hypergroups and hypermodules. Journal of Discrete Mathematical Sciences and Cryptography, 6(2-3), 121-132. doi: 10.1080/09720529.2003.10697969
  • Ameri, R., Nozari, T., Norouzi, M. On fuzzy geometric spaces, submitted.
  • Anvariyeh, S. M., and Davvaz, B. (2009). Strongly transitive geometric spaces associated to hypermodules. Journal of Algebra, 322(4), 1340-1359. doi: 10.1016/j.jalgebra.2009.05.014
  • Calugareanu, G., Leoreanu, V. (2001). Hypergroups associated with lattices, Ital. J. Pure Appl. Math. 9, 165-173.
  • Chowdhury, G. (2009). Fuzzy transposition hypergroups. Iranian Journal of Fuzzy Systems, 6(3), 37-52.
  • Corsini, P. (1996). Hypergraphs and hypergroups, Algebra Universalis 35, 548-555. doi: 10.1007/BF01243594
  • Corsini, P. (1993). Prolegomena of hypergroup theory, Aviani editore.
  • Corsini, P., and Leoreanu, V. (2013). Applications of hyperstructure theory (Vol. 5). Springer Science and Business Media.
  • Corsini, P., and Tofan, I. (1997). On fuzzy hypergroups. Pure Mathematics and Applications, 8(1), 29-37.
  • Davvaz, B., Leoreanu, V. (2007). Hyperring Theory and Applications, International Academic Press.
  • Freni, D. (2004). Strongly transitive geometric spaces: Applications to hypergroups and semigroups theory.
  • Koskas, M. (1970). Groupoids, semi-hypergroups and hypergroups. Journal de Mathmatiques Pures et Appliques, 49(2), 155-192.
  • Leoreanu-Fotea, V. (2009). Fuzzy hypermodules. Computers and Mathematics with Applications, 57(3), 466-475. doi: 10.1016/j.camwa.2008.11.004
  • Leoreanu-Fotea, V., and Davvaz, B. (2009). Fuzzy hyperrings. Fuzzy sets and systems, 160(16), 2366-2378. doi: 10.1016/j.fss.2008.11.007
  • Leoreanu-Fotea, V. , Rosenberg, I.G. (2010). Hypergroupoids determined by lattices, European J. Combin. 31, 925-931. doi: 10.1016/j.ejc.2009.06.005
  • Marty, F. (1934). Sur une gnralization de la notion de groupe, IV Congrs des Mathmaticiens Scandinaves.
  • Mirvakili, S., and Davvaz, B. (2012). Strongly transitive geometric spaces: Applications to hyperrings. Rev. Un. Mat. Argentina, 53(1), 43-53.
  • Norouzi, M. (2019). Normal subfuzzy (m, n)-hypermodules. Journal of Discrete Mathematical Sciences and Cryptography, 22(3), 433-451. doi: 10.1080/09720529.2019.1614336
  • Nakkhasen, W., Pibaljommee, B. (2019). Intra-regular semihyperrings. Journal of Discrete Mathematical Sciences and Cryptography, 22(6), 1019-1034. doi: 10.1080/09720529.2019.1649818
  • Sen, M. K., Ameri, R., and Chowdhury, G. (2008). Fuzzy hypersemigroups. Soft Computing, 12(9), 891-900. doi: 10.1007/s00500-007-0257-9
  • Vougiouklis, T. (1990). The Fundamental Relations in Hyperrings, The general hyperfield Proc. 4th International Congress in Algebraic Hyperstructures and Its Applications(AHA 1990) World Scientific, 203-211.
  • Vougiouklis, T. (1988). Groups in hypergroups. In Annals of Discrete Mathematics, 37, 459-467. doi: 10.1016/S0167-5060(08)70269-3
  • Zadeh, L. A. (1996). Fuzzy sets. In Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers by Lotfi A Zadeh, 394-432.

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