宋璐瑶, 廖祖华, 曹姝, 王德江, 刘春芝. 基于蕴涵算子上的环的模糊理想[J]. 微电子学与计算机, 2012, 29(3): 51-54,59.
引用本文: 宋璐瑶, 廖祖华, 曹姝, 王德江, 刘春芝. 基于蕴涵算子上的环的模糊理想[J]. 微电子学与计算机, 2012, 29(3): 51-54,59.
shu
SONG Lu-yao, LIAO Zu-hua, CAO Shu, WANG De-jiang, LIU Chun-zhi. Fuzzy Ideals of Rings Based on Implication Operators[J]. Microelectronics & Computer, 2012, 29(3): 51-54,59.
Citation: SONG Lu-yao, LIAO Zu-hua, CAO Shu, WANG De-jiang, LIU Chun-zhi. Fuzzy Ideals of Rings Based on Implication Operators[J]. Microelectronics & Computer, 2012, 29(3): 51-54,59.
shu

基于蕴涵算子上的环的模糊理想

Fuzzy Ideals of Rings Based on Implication Operators

    摘要
  • 摘要: 对基于蕴涵算子上的环的模糊理想作进一步研究, 给出了RGR-模糊理想、RGO-模糊理想、RLU-模糊理想、RG-模糊理想、RM-模糊理想、RZ-模糊理想、RKD-模糊理想、RO-模糊理想的等价形式, 这八个常见的蕴涵算子下环的R-模糊理想的等价形式做了详细的证明.这些工作具有有较重要的理论价值及应用前景.

     

    Abstract: In this paper, we further studied fuzzy subring and fuzzy ideals based on the implication, at the ame time, we given and proofed the equivalent form of RGR-fuzzy ideals、 RGO-fuzzy ideals、 RLU-fuzzy ideals、 RG-fuzzy ideals、 RM-fuzzy ideals、 RZ-fuzzy ideals、 RKD-fuzzy ideals、 RO-fuzzy ideals.The resualts are of significance both in theory and application.

     

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