대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제25권4호
  • /
  • Pages.537-545
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  • 2010
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS

  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION (AND RINS) GYEONGSANG NATIONAL UNIVERSITY) ;
  • Kang, Min-Su (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY) ;
  • Kim, Hee-Sik (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
  • 투고 : 2009.12.15
  • 발행 : 2010.10.31
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초록

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.

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참고문헌

  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

피인용 문헌

  1. Two dissimilar approaches to dynamical systems on hyper MV -algebras and their information entropy vol.132, pp.9, 2017, https://doi.org/10.1140/epjp/i2017-11656-8
  2. Hyper effect algebras vol.326, 2017, https://doi.org/10.1016/j.fss.2016.12.012
  3. Relationship Between Hyper MV -algebras and Hyperlattices vol.54, pp.2, 2016, https://doi.org/10.1515/awutm-2016-0016
  4. States on hyper MV-algebras vol.31, pp.3, 2016, https://doi.org/10.3233/IFS-162196
  5. Fuzzy $$\mathsf{H}_v\mathsf{MV}$$ H v MV -algebras vol.27, pp.3-4, 2016, https://doi.org/10.1007/s13370-015-0343-6
  6. DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS vol.38, pp.3, 2016, https://doi.org/10.5831/HMJ.2016.38.3.643
  7. BIPOLAR FUZZY HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS vol.26, pp.2, 2011, https://doi.org/10.4134/CKMS.2011.26.2.169
  8. The entropy of semi-independent hyper MV-algebra dynamical systems vol.20, pp.4, 2016, https://doi.org/10.1007/s00500-015-1850-y