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On Symmetric Bi-$f$-derivations of Lattice Implication Algebras

김경호
영남수학회 (Youngnam Mathematical Society)|2020.01|East Asian Mathematical Journal|제36권 제1호|pp. 1-11

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참고문헌

키워드

Lattice implication algebrasymmetric bi-f-derivationisotoneFixd(L)Kerdnormal filter.
주제분류수학

초록

In this paper, we introduce the notion of symmetric bi-f- derivation of lattice implication algebra and investigated some related properties. Also, we prove that if D is a symmetric bi-f-derivation of L, then D(x → y,z) = f(x) → D(y,z) for all x,y,z ∈ L.

Abstract

In this paper, we introduce the notion of symmetric bi-f- derivation of lattice implication algebra and investigated some related properties. Also, we prove that if D is a symmetric bi-f-derivation of L, then D(x → y,z) = f(x) → D(y,z) for all x,y,z ∈ L.

참고문헌 (14)

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  3. Alev Firat, "On f-derivations of BCC-algebras", Ars Combinatoria, XCVIIA, 377~382 (2010)
  4. J. A. Goguen, "The logic of inexact concepts", Synthese, 19, pp.325~373 (1969)
  5. S. D. Lee, "On derivations of lattice implication algebras", Ars Combina-toria, 108, pp.279~288 (2013)
  6. J. Liu, "On certain filters in lattice implication algebras", Chinese Quarterly J. Math, 11(4), pp.106~111 (1996)
  7. J. Liu, "On the property(P)of lattice implication algebras", J. Lanzhou Univ, 32, pp.344~348 (1996)
  8. J. Liu, "Filters and structure of lattice implication algebras", Chinese Science Bulletin, 42(18), pp.1517~1520 (1997)
  9. C. Prabpayak, "On derivations of BCC-algebras", Kasetsart J, 43, pp.398~401 (2009)
  10. Z. M. Song, "Study on the theoretical foundation of uncertainty information processing based on lattice implication algebras and method of uncertainty reasoning", Ph. D., pp.1998
  11. Y. Xu, "Lattice implication algebras", J. Southwest Jiaotong Univ, 1, pp.20~27 (1993)
  12. Y. Xu, "Lattice H implication algebras and lattice implication algebra classes", J. Hebei Mining and Civil Engineering Institute, 3, pp.139~143 (1992)
  13. Y. Xu, "On filters of lattice implication algebras", J. Fuzzy Math, 1(2), pp.251~260 (1993)
  14. Y. H. Yon, "On f-derivations of lattice implication algebras", Ars Combi-natoria, 110, pp.205~215 (2013)

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