Solutions of triple I algorithm under different implication operators

doi:10.3778/j.issn.1002-8331.2010.16.014

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (16): 48-51.DOI: 10.3778/j.issn.1002-8331.2010.16.014

• 研究、探讨 • Previous Articles Next Articles

Solutions of triple I algorithm under different implication operators

ZHOU Xiao-shuang

Department of Mathematics，Dezhou University，Dezhou，Shandong 253023，China

Received:2008-12-15 Revised:2009-03-02 Online:2010-06-01 Published:2010-06-01
Contact: ZHOU Xiao-shuang

不同蕴涵算子下三I方法的解

周小双

德州学院数学系，山东德州 253023

通讯作者: 周小双

Abstract

Abstract: Expressions of triple I algorithm based on R_M、R_Zand R₀are shown.On the basis of this，the unity form of triple I algorithm is given by：B*（y）=SUP{A*（x）∧φ（x，y）}，whereφ：X×Y→[0，1] is a function，and φ（x，y） and E_Y depend on the selection of the implication operator R_i.

Key words: fuzzy inference, implication operators, triple I algorithm

摘要： 以R_M、R_Z、R₀三个蕴涵算子为基础，研究了11种形式的三I算法的解，并在此基础上给出了这11种解的同一形式：B*（y）=SUP{A*（x）∧φ（x，y）}，其中φ：X×Y→[0，1]表示某一函数，而且φ（x，y）与E_Y的选取依赖蕴涵算子R_i的选取。

关键词: 模糊推理, 蕴涵算子, 三I算法

CLC Number:

O159.1

ZHOU Xiao-shuang. Solutions of triple I algorithm under different implication operators[J]. Computer Engineering and Applications, 2010, 46(16): 48-51.

周小双. 不同蕴涵算子下三I方法的解[J]. 计算机工程与应用, 2010, 46(16): 48-51.

[1]	MAO Biao, YANG Song, LI Yingshun. Improved Dynamic Causality Diagram and Fuzzy Inference Fusion Fault Diagnosis Method [J]. Computer Engineering and Applications, 2020, 56(3): 259-265.
[2]	JING Mei, HUI Xiaojing, WANG Rong. Triple I restriction methods of intuitionistic fuzzy inference [J]. Computer Engineering and Applications, 2018, 54(15): 53-56.
[3]	NAN Jingchang, TIAN Na. Fuzzy wavelet neural network for modeling based on improved particle swarm optimization algorithm [J]. Computer Engineering and Applications, 2017, 53(3): 120-123.
[4]	DING Bo, LI Jun. Structure of F-λ triangular norm and its application [J]. Computer Engineering and Applications, 2016, 52(4): 1-5.
[5]	YI Sanli1，2, GUO Beibei2, MA Lei2, QIAN Jie2. Improved image edge detection algorithm based on fuzzy inference rules [J]. Computer Engineering and Applications, 2016, 52(12): 180-183.
[6]	SHUANG Jingning, HUI Xiaojing, HE Jinrui, GAO Jiao. FMP model fuzzy reasoning new reverse triple I method based on a type of implication operators [J]. Computer Engineering and Applications, 2015, 51(20): 28-30.
[7]	XIE Zhenping1, WANG Tao2, LIU Yuan1. New video smoke detection method using Bayesian decision [J]. Computer Engineering and Applications, 2014, 50(3): 173-176.
[8]	ZHOU Di1, SUN Jun2, SHENG Xinyi1. Fuzzy system modeling method based on novel hybrid clustering algorithm [J]. Computer Engineering and Applications, 2014, 50(12): 16-20.
[9]	SHI Donghui. Application of improved ANFIS in real estate property assessment [J]. Computer Engineering and Applications, 2014, 50(12): 247-251.
[10]	ZHAO Xijing, WANG Lixin, HE Zhikun, LI Rui. Fuzzy controller for longitudinal channel of vehicle attitude control system [J]. Computer Engineering and Applications, 2013, 49(3): 74-77.
[11]	ZHANG Ting, ZHANG Youpeng. Application of EMD-wavelet packet and ANFIS for rolling bearing fault diagnosis [J]. Computer Engineering and Applications, 2013, 49(21): 230-234.
[12]	YAO Lei1, LIU Yuan2. Freeway incident detection based on improved fuzzy clustering arithmetic and ANFIS [J]. Computer Engineering and Applications, 2013, 49(19): 242-245.
[13]	LUO Haichi, LI Yueyang, SUN Jun. Impulse noise detection method for images [J]. Computer Engineering and Applications, 2013, 49(15): 150-156.
[14]	PENG Jiayin. Fuzzy systems of triple I method based on fuzzy implication operator family H_(p,λ) [J]. Computer Engineering and Applications, 2013, 49(1): 53-58.
[15]	YU Peng. Truth degree equation set and its application [J]. Computer Engineering and Applications, 2012, 48(7): 57-59.

Solutions of triple I algorithm under different implication operators

不同蕴涵算子下三I方法的解

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics