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Fuzzy hypersemigroups

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Abstract

We introduce the notions of fuzzy hypersemigroup, fuzzy hypergroup, fuzzy hyperideal, homomorphism, hyper congruence, fuzzy homomorphism, fuzzy hypercongruence. The purpose of this note is the study of some characterization of fuzzy hypersemigroup, fuzzy hyperideal of a fuzzy hypersemigroup and homomorphism and hypercongruence on a hypersemigroup.

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References

  • Ameri R (2002) Fuzzy (Co-)norm hypervector spaces. In: Proceedings of the 8th international congress in algebraic hyperstructures and applications, Samotraki, Greece, September 1–9, pp 71–79

  • Ameri R and Hedayati H (2007). On fuzzy closed, invertible and reflexive subsets of hypergroups. Italian J Pure Appl Math 22: 95–114

    MATH  MathSciNet  Google Scholar 

  • Ameri R, Zahedi MM (1996) Fuzzy subhypermodules over fuzzy hyperrings. Sixth International Congress on AHA, Democritus University, pp 1–14

  • Ameri R and Zahedi MM (1997). Hypergroup and join spaces induced by a fuzzy subset. PUMA 8: 155–168

    MATH  MathSciNet  Google Scholar 

  • Corsini P (1979) Prolegomena of hypergroup theory. Aviani Editore

  • Corsini P and Leoreanu V (2002). Fuzzy sets and join spaces associated with rough sets. Rend Circ Mat Palermo 51: 527–536

    Article  MATH  MathSciNet  Google Scholar 

  • Corsini P and Leoreanu V (2003). Applications of hyperstructure theory. Kluwer, Dordrecht

    MATH  Google Scholar 

  • Corsini P and Tofan I (1997). On fuzzy hypergroups. PUMA 8: 29–37

    MATH  MathSciNet  Google Scholar 

  • Davvaz B (1999). Fuzzy H v -groups. Fuzzy Sets Syst 101: 191–195

    Article  MATH  MathSciNet  Google Scholar 

  • Davvaz B (2001). Fuzzy H v submodules. Fuzzy Sets Syst 117: 477–484

    Article  MATH  MathSciNet  Google Scholar 

  • Kehagias Ath (2002). L-fuzzy join and meet hyperoperations and the associated L-fuzzy hyperalgebras. Rend Circ Mat Palermo 51: 503–526

    Article  MATH  MathSciNet  Google Scholar 

  • Kehagias Ath (2003). An example of L-fuzzy join space. Rend Circ Mat Palermo 52: 322–350

    Article  MATH  MathSciNet  Google Scholar 

  • Leoreanu V (2000). Direct limit and inverse limit of join spaces associated with fuzzy sets. Pure Math Appl 11: 509–512

    MATH  MathSciNet  Google Scholar 

  • Malik DS, Mordeson JN and Sen MK (1994). Semigroups of Fuzzy finite state machines. Adv Fuzzy Theory Technol 2: 87–98

    Google Scholar 

  • Marty F (1934) Sur une generalization de la notion de groupe. 8iem congres des Mathematiciens Scandinaves, Stockholm, pp 45–49

  • Rosenfeld A (1971). Fuzzy groups. J Math Anal Appl 35: 512–517

    Article  MATH  MathSciNet  Google Scholar 

  • Zadeh LA (1965). Fuzzy sets. Inform Control 8: 338–353

    Article  MATH  MathSciNet  Google Scholar 

  • Zahedi MM and Ameri R (1999). On the prime, primary and maximal subhypermodules. Italian J Pure Appl Math 5: 61–80

    MATH  MathSciNet  Google Scholar 

  • Zahedi MM, Bolurian M and Hasankhani A (1995). On polygroups and fuzzy subpolygroups. J Fuzzy Math 3: 1–15

    MATH  MathSciNet  Google Scholar 

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Correspondence to Reza Ameri.

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Sen, M.K., Ameri, R. & Chowdhury, G. Fuzzy hypersemigroups. Soft Comput 12, 891–900 (2008). https://doi.org/10.1007/s00500-007-0257-9

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