Family Rλ-L∏GN of implication operator and its Triple I sustaining method

doi:10.3778/j.issn.1002-8331.2009.20.014

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (20): 49-51.DOI: 10.3778/j.issn.1002-8331.2009.20.014

• 研究、探讨 • Previous Articles Next Articles

Family R_λ-L∏GN of implication operator and its Triple I sustaining method

MENG Guang-wu，ZHANG Xing-fang，LI Cheng-yun

School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China

Received:2008-03-31 Revised:2008-06-20 Online:2009-07-11 Published:2009-07-11
Contact: MENG Guang-wu

蕴涵算子族R_λ-L∏GN及其三I支持算法

孟广武，张兴芳，李成允

聊城大学数学科学学院，山东聊城 252059

通讯作者: 孟广武

Abstract

Abstract: The new family T_λ-L∏GN of left-continuous t-norms and its residua family R_λ-L∏GN of implication operators，which include Lukasiewicz implication operator，Gǒdel implication operator，R₀ implication operator and R_Π implication operator，are presented，and the method of fuzzy reasoning based on family of implication operators is proposed，and Triple I sustaining method and α-Triple I sustaining method based on R_λ-L∏GN on FMP model are given.

Key words: fuzzy reasoning, family of implication operator, Triple I sustaining method, α-Triple I sustaining method

摘要： 给出了一族新的伪三角模族T_λ-L∏GN及其伴随蕴涵算子族R_λ-L∏GN，它包括Lukasiewicz蕴涵算子、Gǒdel蕴涵算子、R₀蕴涵算子及R_Π蕴涵算子；提出了基于蕴涵算子族的模糊推理的思想，并给出了基于蕴涵算子族R_λ-L∏GN的FMP模型的三I支持算法和α-三I支持算法。

关键词: 模糊推理, 蕴涵算子族, 三I支持算法, α-三I支持算法

MENG Guang-wu，ZHANG Xing-fang，LI Cheng-yun
. Family R_λ-L∏GN of implication operator and its Triple I sustaining method[J]. Computer Engineering and Applications, 2009, 45(20): 49-51.

孟广武，张兴芳，李成允. 蕴涵算子族R_λ-L∏GN及其三I支持算法[J]. 计算机工程与应用, 2009, 45(20): 49-51.

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Family R_λ-L∏GN of implication operator and its Triple I sustaining method

蕴涵算子族R_λ-L∏GN及其三I支持算法

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Family Rλ-L∏GN of implication operator and its Triple I sustaining method

蕴涵算子族Rλ-L∏GN及其三I支持算法

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Family R_λ-L∏GN of implication operator and its Triple I sustaining method

蕴涵算子族R_λ-L∏GN及其三I支持算法