arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2104.01915math.GM
收藏

由一般重叠函数和模糊否定构造的模糊蕴涵函数

Fuzzy implication functions constructed from general overlap functions and fuzzy negations

Jocivania Pinheiro, Benjamin Bedregal, Regivan H. N. Santiago, Helida Santos, Graçaliz P. Dimuro, Humberto Bustince

摘要:

模糊蕴涵函数在理论和实际领域都得到了广泛的研究。这项工作的目的是继续以前的工作有关的模糊蕴涵构造的非必然结合的聚合函数。为了获得更一般和灵活的上下文,我们扩展了一类的模糊否定和t-范数导出的影响,取代后者一般重叠功能。我们还研究了它们的性质、刻画以及与其他类型的模糊蕴涵函数的交集。

英文摘要:

Fuzzy implication functions have been widely investigated, both in theoretical and practical fields. The aim of this work is to continue previous works related to fuzzy implications constructed by means of non necessarily associative aggregation functions. In order to obtain a more general and flexible context, we extend the class of implications derived by fuzzy negations and t-norms, replacing the latter by general overlap functions. We also investigate their properties, characterization and intersections with other classes of fuzzy implication functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑