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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (9): 1-14.doi: 10.6040/j.issn.1671-9352.0.2022.131

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逆分离模糊集合((-overA)F,(-overA)(-overF))与模糊信息安全获取

李守伟1,史开泉2*   

  1. 1.山东师范大学商学院, 山东 济南 250014;2.山东大学数学学院, 山东 济南 250100
  • 发布日期:2022-09-15
  • 作者简介:李守伟(1970— ),男,教授,博士生导师,研究方向为复杂网络与智能算法. E-mail:shouweili1996@163.com*通信作者简介:史开泉(1945— ),男,教授,博士生导师,研究方向为模糊集合理论与应用、信息融合理论与数学交叉研究. E-mail:shikq@sdu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(71663010);山东省自然科学基金资助项目(ZR2019MG015)

Inverse separated fuzzy set ((-overA)F,(-overA)(-overF)) and secure acquisition of fuzzy information

LI Shou-wei1, SHI Kai-quan2*   

  1. 1. School of Business, Shandong Normal University, Jinan 250014, Shandong, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Published:2022-09-15

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摘要： 利用论域的动态特征, 给出了具有属性析取特征的、由内逆-分离模糊集合与外逆-分离模糊集合共同构成的逆分离模糊集合,进而给出了逆分离模糊集合之间的模糊距离;基于逆分离模糊集合的生成,给出了模糊信息关系,进而给出了逆模糊信息智能伪装及其智能获取算法;结合椭圆曲线,给出了逆模糊信息内-伪装安全获取算法在商业领域的应用。

关键词: 属性析取, 逆分离模糊集合, 椭圆曲线, 信息安全, 智能算法, 应用

Abstract: By using the dynamic characteristics of universe, the inverse separated fuzzy set with attribute disjunctive characteristics is given, which is composed of internal inverse separated fuzzy set and outer inverse separated fuzzy set, and then the fuzzy distance between inverse separated fuzzy sets is also given; Based on the generation of inverse separated fuzzy set, the relationship of fuzzy information is given, and then the intelligent camouflage and intelligent acquisition algorithm of inverse fuzzy information are given; Combined with elliptic curve, the application of internal camouflage security acquisition algorithm of inverse fuzzy information is given in commercial field.

Key words: attribute disjunction, inverse separated fuzzy set, elliptic curve, information security, intelligent algorithm, application

中图分类号: 

  • O144
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