• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

计算机工程与科学 ›› 2020, Vol. 42 ›› Issue (08): 1448-1453.

• 人工智能与数据挖掘 • 上一篇    下一篇

基于二分搜索改进Karnik-Mendel算法的广义二型模糊逻辑系统降型

陈阳,王涛   

  1. (辽宁工业大学理学院,辽宁 锦州 121001)

  • 收稿日期:2019-11-26 修回日期:2020-03-14 接受日期:2020-08-25 出版日期:2020-08-25 发布日期:2020-08-29
  • 基金资助:
    国家自然科学基金(61973146,61773188,61803189);辽宁省自然科学基金(20180550056);辽宁工业大学校人才基金(xr2020002)

A binary-search enhanced Karnik-Mendel algorithm for type-reduction of general type-2 fuzzy logic system

CHEN Yang,WANG Tao   

  1. (College of Science,Liaoning University of Technology,Jinzhou 121001,China)

  • Received:2019-11-26 Revised:2020-03-14 Accepted:2020-08-25 Online:2020-08-25 Published:2020-08-29

摘要: 广义二型模糊逻辑系统在近年来被广泛关注,降型仍然是系统的核心模块。改进Karnik-Mendel算法是最流行的降型算法。根据广义二型模糊集的α-平面表达理论,提出一类二分搜索改进Karnik-Mendel算法来完成广义二型模糊逻辑系统质心降型。在取相同的主变量采样率情况下,通过2个计算机仿真示例说明,该算法在不损失计算精度的前提下可取得比改进Karnik-Mendel算法更高的计算效率。


关键词: 广义二型模糊逻辑系统, 降型, 改进Karnik-Mendel算法, 二分搜索改进Karnik-Mendel算法, 计算机仿真

Abstract: General type-2 fuzzy logic systems have drawn great attentions in recent years, and type-reduction is still the kernel block of the systems. The Enhanced Karnik-Mendel (EKM) algorithm is the most popular type-reduction algorithm. According to the alpha-planes representation theory of general type-2 fuzzy sets, this paper proposes a binary-search enhanced Karnik-Mendel (BEKM) algorithm to perform the centroid type-reduction of general type-2 fuzzy logic systems. In case of choosing the same sampling rate of primary variables, two computer simulation examples show that, compared with the EKM algorithm, the BEKM algorithm has higher computational efficiency without losing the calculation accuracy.

Key words: general type-2 fuzzy logic system, type-reduction, enhanced Karnik-Mendel algorithm, binary-search enhanced Karnik-Mendel algorithm, computer simulation