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Research Articles

A new branch of bialgebraic structures: UP-bialgebras

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Pages 450-459 | Received 27 Dec 2018, Accepted 04 Mar 2019, Published online: 19 Mar 2019

References

  • Imai Y, Iséki K. On axiom system of propositional calculi, XIV. Proc Japan Acad. 1966;42(1):19–22.
  • Iséki K. An algebra related with a propositional calculus. Proc Japan Acad. 1966;42(1):26–29.
  • Prabpayak C, Leerawat U. On ideals and congruences in KU-algebras. Sci Magna. 2009;5(1):54–57.
  • Iampan A. A new branch of the logical algebra: UP-algebras. J Algebra Relat Top. 2017;5(1):35–54.
  • Khalil SM. New category of the fuzzy d-algebras. J Taibah Univ Sci. 2018;12(2):143–149.
  • Hu QP, Li X. On BCH-algebras. Math Semin Notes. 1983;11:313–320.
  • Sawika K, Intasan R, Kaewwasri A, et al. Derivations of UP-algebras. Korean J Math. 2016;24(3):345–367.
  • Somjanta J, Thuekaew N, Kumpeangkeaw P, et al. Fuzzy Sets in UP-algebras. Ann Fuzzy Math Inform. 2016;12(6):739–756.
  • Mosrijai P, Kamti W, Satirad A, et al. Hesitant fuzzy sets on UP-algebras. Konuralp J Math. 2017;5(2):268–280.
  • Senapati T, Jun YB, Shum KP. Cubic set structure applied in UP-algebras. Discrete Math Algorithms Appl. 2018;10(4):1850049.
  • Senapati T, Muhiuddin G, Shum KP. Representation of UP-algebras in interval-valued intuitionistic fuzzy environment. Ital J Pure Appl Math. 2017;38:497–517.
  • Romano DA. Proper UP-filters of UP-algebra. Univ J Math Appl. 2018;1(2):98–100.
  • Iampan A, Mosrijai P, Satirad A. Introducing partial transformation UP-algebras. Eur J Pure Appl Math. 2018;11(3):876–881.
  • Vasantha Kandasamy WB. Bialgebraic structures and Smarandache bialgebraic structures. India: American Research Press; 2003.
  • Jun YB, Öztürk MA, Roh EH. BCK/BCI-bialgebras. Sci Math Jpn. 2006;64(3):595–600.
  • Jun YB. Biideals in BCK/BCI-bialgebras. Kyungpook Math J. 2008;48:577–584.
  • Mostafa SM, Abd-Elnaby MA, Yousef MMM. Fuzzy Ideal of KU-Algebras. Int Math Forum. 2011;6(63):3139–3149.
  • Satirad A, Mosrijai P, Iampan A. Generalized power UP-algebras. Int J Math Comput Sci. 2019;14(1):17–25.
  • Dokkhamdang N, Kesorn A, Iampan A. Generalized fuzzy sets in UP-algebras. Ann Fuzzy Math Inform. 2018;16(2):171–190.
  • Iampan A. Introducing fully UP-semigroups. Discuss Math Gen Algebra Appl. 2018;38(2):297–306.
  • Guntasow T, Sajak S, Jomkham A, et al. Fuzzy translations of a fuzzy set in UP-algebras. J Indones Math Soc. 2017;23(2):1–19.