计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (22): 29-31.DOI: 10.3778/j.issn.1002-8331.2009.22.010

• 研究、探讨 • 上一篇    下一篇

正则蕴涵算子族G-λ-R0及其三I支持算法

张 森,李成允,张兴芳   

  1. 聊城大学 数学科学学院,山东 聊城 252059
  • 收稿日期:2008-04-02 修回日期:2008-05-29 出版日期:2009-08-01 发布日期:2009-08-01
  • 通讯作者: 张 森

Regular family of implication operator and its fuzzy reasoning triple I sustaining method

ZHANG Sen,LI Cheng-yun,ZHANG Xing-fang   

  1. School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China
  • Received:2008-04-02 Revised:2008-05-29 Online:2009-08-01 Published:2009-08-01
  • Contact: ZHANG Sen

摘要: 首先给出了一个新的蕴涵算子族:G-λ-R0(λ∈[0,1])(它包括Gǒdel(简称RG)算子与R0算子)。然后重点讨论了G-λ-R0(λ∈[0,1])族算子的伴随算子及其正则性。结果表明,在该算子族中,每一个算子都具有伴随算子且具有正则性。从而说明了此算子是较理想的蕴涵算子。最后讨论了基于此蕴涵算子族的三I支持算法。

关键词: 蕴涵算子族G-λ-R0, 伴随算子, 正则性, 三I支持算法

Abstract: In the paper a regular family of fuzzy implication operator is given,which is denoted by G-λ-R0(λ∈[0,1]).Operator Gǒdel(simple denoted RG) and operatorare R0 included in G-λ-R0(λ∈[0,1]).The paper mainly discusses regularity of G-λ-R0(λ∈[0,1]) and the residual of G-λ-R0(λ∈[0,1]) with its t-norms.The result indicates that all operators in G-λ-R0(λ∈[0,1]) have residual t-norms and satisfy regularity.Consequently,the family of fuzzy implication operator is ideal.Finally,triple I sustaining method with respect to FMP and FMT models are discussed.

Key words: family of implication operator G-λ-R0, residual operators, regularity, triple I sustaining method