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On Fuzzy ideal and Fuzzy deductive system in Hilbert algebra 被引量:2

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摘要 In this paper we prove that a Fuzzy ideal and a Fuzzy deductive system coincide in Hilbert algebra.
出处 《纯粹数学与应用数学》 CSCD 2000年第4期60-62,共3页 Pure and Applied Mathematics
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参考文献5

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  • 2A. Diego. Sur les algebras de Hilbert[J]. Collection de Logique Math. Ser. A (Ed. Hermann, Paris),1996,21:1-52.
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同被引文献10

  • 1哀学海,李洪兴,汪培庄.基于落影表现理论下的模糊子群[J].模糊系统与数学,1995,9(4):15-19.
  • 2CHAJDA I, HALASR. Congruences and ideals in Hilbert algebras[J]. Kymaglmok Math $, 1999,32(2) ..429-432.
  • 3DUDEK W A. On ideals in Hilbert algebras[J]. Aeta Univ Palack Olomuc Fac Rerum Natur Math, 1999,38: 31-34.
  • 4JUN Y B. Deductive systems of Hilbert algebrasFJ~. Math Japan, 1996,43 : 51-54.
  • 5JUN Y B, HONG S M. Fuzzy deductive systems of Hilbert algebras[J]. Indian J Pure Appl Math, 1999, 27(2) : 141-151.
  • 6ZHAN Jianming, MA Xueling. Fuzzy deductive sys- tems of HS-algebras[J]. Sci Math Jpn, 2005, 61 (2) : 267-274.
  • 7JUN Y B, OZTURK M A, FIRAT A. Characteriza- tions of falling fuzzy positive implicative ideals in BCK- algebras[J]. Ann Fuzzy Math Inform, 2014,7 (2) : 197- 204.
  • 8ZHAN J M, JUN Y B, KIM H K. Some types of falling fuzzy filters of BL-algebras and its applications [J]. J Inteil Fuzzy Systems, 2014,26 (4) .. 1675-1685.
  • 9YANG Yongwei, XIN Xiaolong, HE Pengfei. Characterizations of MV-algebras based on the theory of falling shadows[J]. Scientific World Journal,2014:1-11.
  • 10LEE S M, KIM K H. A note on HS-algebras[J]. Int Math Forum,2011,6(31) : 1529-1534.

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