Abstract
Fuzzy Rees congruences on semigroups have been introduced and studied by Xie. In this paper, Rees hypercongruences and fuzzy Rees hypercongruences on hypersemigroups are studied. Moreover, we generalize a homomorphism theorem of Davvaz in [Bull. Malays Math. Soc. 23(1)(2000), 53-58].
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References
Corsini, P.: Prolegomena of hypergroup theory, 2nd edn. Aviani editor, Udine (1993)
Corsini, P., Leoreanu, V.: Applications of Hyperstructure Theory, Advances in Mathematics. Kluwer Academic Publishers, Dordrecht (2003)
Davvaz, B.: Fuzzy H v -groups. Fuzzy Sets Syst. 101, 191–195 (1999)
Davvaz, B.: Fuzzy hyperideals in semihypergroups. Italian J. Pure Appl. Math. 8, 67–74 (2000)
Davvaz, B.: Some results on congruences in semihypergroups. Bull. Malays Math. Soc. 23(1), 53–58 (2000)
Davvaz, B.: Strong regularity and fuzzy strong regularity in semihypergroups. Korean J. Comput. Appt. Math. 7(1), 205–213 (2000)
Davvaz, B.: Fuzzy H v -submodules. Fuzzy Sets Syst. 117, 477–484 (2001)
Davvaz, B.: A study on the structure of H v -near-ring modules. Indian J. Pure Appl. Math. 34(5), 693–700 (2003)
Davvaz, B.: T H and S H -interval-valued fuzzy subhypergroups. Indian J. Pure Appl. Math. 34(1), 61–69 (2004)
Marty, F.: Sur une generalization de la notion de groupe. In: 8th Congress Math. Scandianaves, Stockholm, pp. 45–48 (1934)
Murali, V.: Fuzzy equivalence relations. Fuzzy Sets and Systems 30, 155–163 (1989)
Rosenfeld, A.: Fuzzy groups. J. Math. Anal. 35, 512–517 (1971)
Samhan, M.A.: Fuzzy congruences on semigroup. Inform. Sci. 74, 165–175 (1993)
Sen, M.K., Ameri, R., Chowdhury, G.: Fuzzy hypersemigroups. Soft Computing 12, 891–900 (2008)
Xie, X.Y.: Fuzzy Rees congruences on semigroups. Fuzzy Sets Syst 102, 353–359 (1999)
Zadeh, L.A.: Fuzzy Sets. Infom. and Control 8, 338–353 (1965)
Zadeh, L.A.: Similar relations and fuzzy ordering. Inform. Sci. 3, 117–200 (1971)
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Gao, F., Xie, XY. (2011). Fuzzy Rees Hypercongruences on Hypersemigroups. In: Zeng, D. (eds) Applied Informatics and Communication. ICAIC 2011. Communications in Computer and Information Science, vol 224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23214-5_35
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DOI: https://doi.org/10.1007/978-3-642-23214-5_35
Publisher Name: Springer, Berlin, Heidelberg
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