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FIBONACCI SEQUENCES ON MV -ALGEBRAS

Arsham Borumand Saeid|Morteza Afshar Jahanshahi
한국수학교육학회|2018.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제25권 제4호|pp. 253-265|DOI https://doi.org/10.7468/jksmeb.2018.25.4.253

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키워드

Fibonacci sequencesBoolean algebrasMV -algebras.
주제분류수학

초록

In this paper, we introduce the concept of Fibonacci sequences on MV - algebras and study them accurately. Also, by introducing the concepts of periodic sequences and power-associative MV -algebras, other properties are also obtained. The relation between MV -algebras and Fibonacci sequences is investigated.

Abstract

In this paper, we introduce the concept of Fibonacci sequences on MV - algebras and study them accurately. Also, by introducing the concepts of periodic sequences and power-associative MV -algebras, other properties are also obtained. The relation between MV -algebras and Fibonacci sequences is investigated.

참고문헌 (12)

  1. K.T. Atanassov, "New Visual Perspectives On Fibonacci Numbers" (2002), World Scientic
  2. R.L.O. Cignoli, "Algebraic foundations of many-valued reasoning ser. Trends in Logic-Studia Logica Library Vol 7" (2000), Kluwer Aca-demic Publishers
  3. C.C. Chang, "Algebraic analysis of many valued logics", Trans. Amer. Math. Soc, 88, pp.467~490 (1958)
  4. E.J. Dubuc, "Some remarks on initesimals in MV -algebras", Multiple-Valued Logic and Soft Computing, 29, pp.647~656 (2017)
  5. R.A. Dunlap, "The Golden Ratio and Fibonacci Numbers" (1997), World Scientic
  6. J.S. Han, "Fibonacci sequences in groupoids", Adv. Differ. Eq, 19 (2012)
  7. Y. Imai, "On axiom systems of propositional calculi", Proc. Japan Academic bf, 42, pp.19~22 (1966)
  8. H.S. Kim, "Generalized Fibonacci sequences in groupoids", Adv. Differ. Eq, 26 (2013)
  9. J. Meng, "BCK-algebras" (1994), Kyung Moon Sa Co
  10. D. Mundici, "MV -algebras are categorically equivalent to bounded commutative BCK-algebras", Math. J, 31, pp.889~894 (1986)
  11. D. Piciu, "Algebras of fuzzy logic" (2007), Universitaria Craiova
  12. S. Tanaka, "On-commutative algebras", Math. Sem. Notes Kobe, 3, pp.59~64 (1975)

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