Robustness of the Reverse Triple I Algorithms Based on Schweizer-Sklar T-norms

LUO Min-xia; WANG Ya-ping

doi:10.3969/j.issn.0372-2112.2016.04.029

您当前的位置：

首页 >

文章列表页 >

Robustness of the Reverse Triple I Algorithms Based on Schweizer-Sklar T-norms

更新时间：2025-07-16

- Robustness of the Reverse Triple I Algorithms Based on Schweizer-Sklar T-norms
- Acta Electronica Sinica Vol. 44, Issue 4, Pages: 959-966(2016)
- 作者机构：
  
  中国计量学院理学院,浙江,杭州,310018
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61273018)
- DOI：10.3969/j.issn.0372-2112.2016.04.029
  CLC： O142
- Published：2016
- 稿件说明：
移动端阅览
LUO Min-xia, WANG Ya-ping. Robustness of the Reverse Triple I Algorithms Based on Schweizer-Sklar T-norms[J]. Acta Electronica Sinica, 2016, 44(4): 959-966.
DOI：

LUO Min-xia, WANG Ya-ping. Robustness of the Reverse Triple I Algorithms Based on Schweizer-Sklar T-norms[J]. Acta Electronica Sinica, 2016, 44(4): 959-966. DOI： 10.3969/j.issn.0372-2112.2016.04.029.

摘要

Schweizer-Sklar三角范数具有很好的柔性

使得基于柔性化算子的模糊推理算法有良好的属性.本文基于Minkowski距离标准研究Schweizer-Sklar 算子簇的性质及模糊推理算法的鲁棒性.证明了Schweizer-Sklar三角范数簇关于参数

是单调递减的;Schweizer-Sklar三角余范簇关于参数

是单调递增的;并且给出了Schweizer-Sklar三角余范簇、三角范数簇及其诱导的剩余蕴涵簇的扰动;证明了

)时

Schweizer-Sklar剩余蕴涵簇(包含Lukasiewizc蕴涵)均适合用于模糊推理.进一步证明了:当

)时

基于Schweizer-Sklar剩余蕴涵簇的FMP-反向三I算法具有鲁棒性;当

)时

基于Schweizer-Sklar剩余蕴涵簇的FMT-反向三I算法具有鲁棒性.

Abstract

Since the family of Schweizer-Sklar t-norm is flexible

they have good characteristics for fuzzy reasoning based on these flexible operators.In this paper

the properties of the Schweizer-Sklar operators family and the robustness of fuzzy reasoning algorithms are studied.The family of Schweizer-Sklar t-norms are decreasing for the variable

.The family of Schweizer-Sklar t-conorms are increasing for the variable

.These perturbations of Schweizer-Sklar t-conorms

Schweizer-Sklar t-norms and its residual implications are given.We proved that Schweizer-Sklar residu

al implication operators (include Lukasiewizc implication operator) are more suitable in fuzzy reasoning for

).Moreover

we showed that the FMP reverse triple I algorithms based on the Schweizer-Sklar residual implications are robust for

)

and the FMT reverse triple I algorithms based on the Schweizer-Sklar residual implications are robust for

关键词

Keywords

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Robust Resource Allocation Algorithm for Secure Communication in LEO-Based Satellite Communication Systems

Robust Energy-Efficient Optimization Algorithm for Intelligent Reflecting Surface-Aided MU-MISO Communication Systems with Hardware Impairments and Discrete Phases

A Review of the Robust Technology of mMIMO Millimeter-Wave High-Speed Communication System

Secure Beamforming Algorithm in Satellite-Terrestrial Integrated Networks with Energy Efficiency Maximization Criterion

Analysis and Realization of Data Hiding in Different Layers of Balanced Opt-Rec Multiwavelet Domain

Related Author

XU Yong-jun

LU Cheng-zhuang

DONG Yi-heng

ZHAO Tao

ZHOU Ji-hua

FU Xiao-jian

XIONG Ying-xiang

XU Yong-jun

Related Institution

State Key Laboratory of Millimeter Waves, Southeast University

Aerospace New Generation Communications Co., Ltd.

School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications

College of Information Science & Electronic Engineering， Zhejiang University

School of Communications and Information Engineering， Chongqing University of Posts and Telecommunications

⁰