王玉焕, 王小霞, 高佳欣, 刘生云. (G,N)-余蕴涵的性质及其刻画[J]. 内江师范学院学报, 2024, 39(10): 47-51,57. DOI: 10.13603/j.cnki.51-1621/z.2024.10.008
    引用本文: 王玉焕, 王小霞, 高佳欣, 刘生云. (G,N)-余蕴涵的性质及其刻画[J]. 内江师范学院学报, 2024, 39(10): 47-51,57. DOI: 10.13603/j.cnki.51-1621/z.2024.10.008
    WANG Yuhuan, WANG Xiaoxia, GAO Jiaxin, LIU Shengyun. The properties of (G,N)- coimplication and its characterization[J]. Journal of Neijiang Normal University, 2024, 39(10): 47-51,57. DOI: 10.13603/j.cnki.51-1621/z.2024.10.008
    Citation: WANG Yuhuan, WANG Xiaoxia, GAO Jiaxin, LIU Shengyun. The properties of (G,N)- coimplication and its characterization[J]. Journal of Neijiang Normal University, 2024, 39(10): 47-51,57. DOI: 10.13603/j.cnki.51-1621/z.2024.10.008

    (G,N)-余蕴涵的性质及其刻画

    The properties of (G,N)- coimplication and its characterization

    • 摘要: 模糊蕴涵是经典逻辑蕴涵的推广,模糊蕴涵的构造及等价刻画是当前研究的热点,而模糊余蕴涵作为模糊蕴涵的对偶算子却研究的很少.首先借助类函数G和模糊否定N构造(G,N)-余蕴涵,其次讨论了(G,N)-余蕴涵的EP、IP、NP等性质,最后给出其等价刻画.

       

      Abstract: Fuzzy implication is the extension of classical logical implication,and the structure and equivalent characterization of fuzzy implication is the current research hotspots.However,fuzzy coimplication,as a dual operator of fuzzy implication is seldom studied.Firstly, (G,N)- coimplication is constructed from grouping functions and fuzzy negation.Secondly,the EP, IP, NP and other properties of (G,N)- coimplication are discussed.Finally,equivalent characterizations of coimplication are given.

       

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