论文标题
半重叠功能和应用应用的新型模糊推理算法
Semi-overlap Functions and Novel Fuzzy Reasoning Algorithms with Applications
论文作者
论文摘要
值得注意的是,当且仅当它是左连续时,它的模糊连词及其相应的模糊含义才能形成残留对。为了获得与聚合函数引起的残留含义有关的更一般结果,我们放宽了一般重叠函数的定义,更精确地删除其直接连续,然后引入一种新型的聚合函数,该功能称为半忽略函数。随后,我们研究了它们的一些相关代数特性,并研究了它们相应的残留含义。此外,到目前为止,Serval Acholars提供了多种模糊作案Ponens(FMP,FMP)的方法,例如Zadeh的推理组成规则(简称CRI),Wang的Triple I方法(Tim,简称为TIM)和quintuple含义(简称QIP)。与CRI和TIM方法相比,QIP方法在解决FMP问题方面具有一些优势,在本文中,我们进一步考虑了用于FMP问题的QIP方法,并证明它满足了多条规模模糊推理的降低性。最后,我们提出了一种基于半重叠函数和QIP方法的新分类算法,该算法称为SO5I-FRC算法。通过比较测试,SO5I-FRC算法的平均准确性高于FARC-HD算法。实验结果表明,半重叠函数和QIP方法在分类问题中具有某些优点和广泛的应用。
It is worth noticing that a fuzzy conjunction and its corresponding fuzzy implication can form a residual pair if and only if it is left-continuous. In order to get a more general result related on residual implications that induced by aggregation functions, we relax the definition of general overlap functions, more precisely, removing its right-continuous, and then introduce a new kind of aggregation functions, which called semi-overlap functions. Subsequently, we study some of their related algebraic properties and investigate their corresponding residual implications. Moreover, serval scholars have provided kinds of methods for fuzzy modus ponens (FMP,for short) problems so far, such as Zadeh's compositional rule of inference (CRI, for short), Wang's triple I method (TIM, for short) and the quintuple implication principle (QIP, for short). Compared with CRI and TIM methods, QIP method has some advantages in solving FMP problems, in this paper, we further consider the QIP method for FMP problems and prove that it satisfies the reducibility of multiple-rules fuzzy reasoning. Finally, we propose a new classification algorithm that based on semi-overlap functions and QIP method, which called SO5I-FRC algorithm. Through the comparative tests, the average accuracy of SO5I-FRC algorithm is higher than FARC-HD algorithm. The experimental results indicate that semi-overlap functions and QIP method have certain advantages and a wide range of applications in classification problems.