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HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS

Jun, Young-Bae;Kang, Min-Su;Kim, Hee-Sik

  • Received : 2009.12.15
  • Published : 2010.10.31

Abstract

The notions of (weak) hyper MV-deductive systems and (weak) implicative hyper MV-deductive systems are introduced, and several properties are investigated. Relations among hyper MV-deductive systems, weak hyper MV-deductive systems, implicative hyper MV-deductive systems and weak implicative hyper MV-deductive systems are discussed. A characterization of a hyper MV-deductive system is provided. A condition for a weak hyper MV-deductive system to be a weak implicative hyper MV-deductive system is given.

Keywords

hyper MV-algebra;(weak) hyper MV-deductive system;(weak) implicative hyper MV-deductive system

References

  1. Sh. Ghorbani, A. Hasankhani, and E. Eslami, Hyper MV-algerbas, Set-Valued Math. Appl. (to appear).
  2. Sh. Ghorbani, E. Eslami, and A. Hasankhani, Quotient hyper MV-algerbas, Sci. Math. Jpn. 66 (2007), 371–386.
  3. L. Torkzadeh and A. Ahadpanah, Hyper MV-ideals in hyper MV-algerbas, Math. Log. Quart. 56 (2010), 51–62. https://doi.org/10.1002/malq.200810035

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