References
- Ameri, A., Nozari, T. (2010). Complete parts and fundamental relation of fuzzy hypersemigroup, J. of Mult-Valued Logic and Soft Computing, 19, 451-460.
- Corsini, P., (1991) Prolegomena of Hypergroup Theory. Aviani Editore, Italy.
- Corsini, P. (1993). Join spaces, power sets, fuzzy sets. Proc. Fifth Internat.Congress of Algebraic Hyperstructures and Application, Iasi, Romania, Hadronic Press, Palm Harbor,USA, pp.4552.
- Corsini, P. (2000). Fuzzy sets, join spaces and factor spaces. Pure Math. Appl., 11(3), 439-446.
- Corsini, P. (1980). Contributo alla teoria degli ipergruppi. Atti Soc. Pelor. Sc. Mat. Fis. Nat. Messina, Messina, Italy, 1-22.
- Corsini, P., Leoreanu, V. (2013). Applications of Hyperstructure Theory. Adv. Math., Kluwer Academic Publishers, Dordrecht, Hardbound.
- Corsini, P., Leoreanu, V. (1996). About the heart of a hypergroup. Acta Universitatis Carolinae. Mathematica et Physica, 37(1), 17-29.
- Corsini, P., Leoreanu, V. (2002). Fuzzy sets and join spaces associated with rough sets. Rendiconti di Circolo Matematico di Palermo, 51, 527536.
- Corsini, P., Leoreanu, V. (1995). Join spaces associated with fuzzy sets. J. Combinatorics Inf. Syst. Sci., 20(14), 293303.
- Corsini, P., Tofan, I. (1997). On fuzzy hypergroups. Pure Math. Appl., 8, 2937.
-
Davvaz, B. (1999). Fuzzy
$H_v$ -groups. Fuzzy Sets and Systems, 101, 191195. https://doi.org/10.1016/S0165-0114(97)00071-7 -
Davvaz, B. (2001). Fuzzy
$H_v$ -submodules. Fuzzy Sets and Systems, 117, 477484. https://doi.org/10.1016/S0165-0114(98)00366-2 - Davvaz, B. (2013). Polygroup Theory and Related Systems. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ.
- Davvaz, B., Cristea, I. (2015). Fuzzy Algebraic Hyperstructures-An Introduction. Studies in Fuzziness and Soft Computing, 321. Springer, Cham.
- Davvaz, B., Leoreanu-Fotea, V. (2007) Hyperring Theory and Applications. International Academic Press, Palm Harbor, USA.
-
Davvaz, B., Vougiouklis, T. (2007). Commutative rings obtained from hyperrings (
$H_v$ -rings) with${\alpha}^{\ast}$ -relations. Comm. Algebra, 35(11), 3307-3320. https://doi.org/10.1080/00927870701410629 - Kehagias, A. (2002). L-fuzzy join and meet hyperoperations and the associated L-fuzzy hyperalgebras. Rendiconti di Circolo Matematico di Palermo, 51, 503526.
- Kehagias, A. (2003). An example of L-fuzzy join space. Rendiconti di Circolo Matematico di Palermo, 52, 322350.
- Koskas, M. (1970). Groupoids, demi-hypergroupes et hypergroupes. J. Math. Pures Appl., 49(9), 155-192.
- Leoreanu-Fotea, V. (2009). Fuzzy hypermodules. Comput. Math. Appl. 57(3), 466-475. https://doi.org/10.1016/j.camwa.2008.11.004
- Leoreanu-Fotea, V., Davvaz, B. (2009). Fuzzy hyperrings. Fuzzy Sets and Systems, 160(16), 2366-2378. https://doi.org/10.1016/j.fss.2008.11.007
-
Leoreanu-Fotea, V., Zhan, J., Leoreanu, L. (2013). Fuzzy
${\Gamma}$ -hyperrings and fuzzy${\Gamma}$ -hypermodules. J. Intell. Fuzzy Systems, 24(3), 647-655. https://doi.org/10.3233/IFS-2012-0584 - Leoreanu, V. (2000). Direct limit and inverse limit of join spaces associated with fuzzy sets. Pure Math. Appl., 11, 509512.
- Leoreanu, V. (2005). About hyperstructures associated with fuzzy sets of type 2. Ital. J. Pure Appl. Math., 17, 127136.
-
Mirvakili, S., Anvariyeh, S. M., Davvaz, B. (2008). Transitivity of
${\Gamma}$ -relation on hyperfields. Bull. Math. Soc. Sci. Math. Roumanie, 51(99), 233-243. - Mirvakili, S., Davvaz, B. (2013). Relationship between rings and hyperrings by using the notion of fundamental relations. Comm. Algebra, 41(1), 70-82. https://doi.org/10.1080/00927872.2011.622731
- Mirvakili, S., Davvaz, B. (2012). Strongly transitive geometric spaces: applications to hyperrings. Rev. Un. Mat. Argentina, 53(1), 43-53.
- Mirvakili, S., Davvaz, B. (2013). Relationship between rings and hyperrings by using the notion of fundamental relations. Communications in Algebra, 41(1), 70-82. https://doi.org/10.1080/00927872.2011.622731
- Mirvakili, S., Davvaz, B. (2012). Strongly transitive geometric spaces: Applications to hyperrings. Rev. Un. Mat. Argentina, 53(1), 43-53.
-
Mirvakili, S., Anvariyeh, S. M., Davvaz, B. (2008). On
${\alpha}$ -relation and transitivity conditions of${\alpha}$ . Communications in Algebra, 36(5), 1695-1703. https://doi.org/10.1080/00927870801937364 - Sen, M. K., Ameri, R., Chowdhury, G., (2008). Fuzzy hypersemigroups. Soft Computing, 12(9), 891-900. https://doi.org/10.1007/s00500-007-0257-9
- Sureau, Y. (1980). Contribution a la thorie des hypergroupes et hypergroupes operant transivement sur un ensemble. Doctoral Thesis.
- Vougiouklis, T., (1990). The fundamental relation in hyperrings. The general hyperfield. Proc. of the 4th Int. In Congress on Algebraic Hyperstructures and Appl.(AHA 1990), Xanthi (pp. 203-211).
- Vougiouklis, T., (1994). Hyperstructures and Their Representations, Hadronic Press Inc., Florida.
- Zahedi, M.M., Bolurian, M., Hasankhani, A. (1995). On polygroups and fuzzy subpolygroups. J. Fuzzy Math. 3, 115.