Mamdani模糊推理算法的直觉化扩展

doi:10.11896/j.issn.1002-137X.2016.6A.009

计算机科学 ›› 2016, Vol. 43 ›› Issue (Z6): 44-45.doi: 10.11896/j.issn.1002-137X.2016.6A.009

Mamdani模糊推理算法的直觉化扩展

王坚,史朝辉,郭新鹏,李伟平

空军工程大学防空反导学院西安710051,空军工程大学防空反导学院西安710051,空军工程大学防空反导学院西安710051,空军工程大学防空反导学院西安710051

出版日期:2018-12-01 发布日期:2018-12-01
基金资助:
本文受国家自然科学基金(61503407)资助

Intuitionistic Extension of Mamdani Fuzzy Reasoning Arithmetic

WANG Jian, SHI Zhao-hui, GUO Xin-peng and LI Wei-ping

Online:2018-12-01 Published:2018-12-01

摘要/Abstract

摘要： 对Mamdani模糊推理算法进行了直觉化扩展。首先将Mamdani定义的模糊关系R_c进行直觉化扩展；然后推出了其对应的直觉模糊取式推理算法和直觉模糊拒式推理算法；最后以具体算例叙述了推理计算过程中的细节,验证了该方法的正确性和有效性依据直觉准则对其性能进行了评价。

关键词: 模糊集合,直觉模糊,逻辑推理

Abstract: Mamdani fuzzy reasoning arithmetic was intuitively extended in this paper.Firstly,the fuzzy relation (FR) of R_c which was defined by Mamdani was intuitively extended.Secondly,the intuitionistic fuzzy generalized modus ponens formulas and intuitionistic fuzzy generalized modus tollens formulas of IFR R_c were deduced.Finally,an instance was given to depict the detail of logic reasoning and computing and prove the validity of this method,and the performance of this method was evaluated by intuitionistic rules.

Key words: Fuzzy sets,Intuitionistic fuzzy,Logic reasoning

王坚,史朝辉,郭新鹏,李伟平. Mamdani模糊推理算法的直觉化扩展[J]. 计算机科学, 2016, 43(Z6): 44-45. https://doi.org/10.11896/j.issn.1002-137X.2016.6A.009

WANG Jian, SHI Zhao-hui, GUO Xin-peng and LI Wei-ping. Intuitionistic Extension of Mamdani Fuzzy Reasoning Arithmetic[J]. Computer Science, 2016, 43(Z6): 44-45. https://doi.org/10.11896/j.issn.1002-137X.2016.6A.009

参考文献

[1] Atanassov K.Intuitionistic fuzzy sets [J].Fuzzy Sets and Systems,1986,20(1):87-96
[2] Atanassov K.More on intuitionistic fuzzy sets [J].Fuzzy Sets and Systems,1989,33(1):37-46
[3] Atanassov K.New operations defined over the intuitionisticfuzzy sets [J].Fuzzy Sets and Systems,1994,61(2):137-142
[4] Atanassov K.Intuitionistic Fuzzy Sets:Theory and Applications[M].Heidelberg,Germany:Physical-Verlag,1999
[5] Atanassov K,Janusz K,Eulalia S,et al.On Separability of Intuitionistic Fuzzy Sets [J].Lecture Notes in Artificial Intelligence,2003,2715:285-292
[6] 雷英杰,王宝树.直觉模糊关系及其合成运算 [J].系统工程理论与实践,2005,25(2) :113-118
[7] 郭智莲,杨海龙,王珏.双论域上的直觉模糊概率粗糙集模型及其应用[J].系统工程理论与实践,2014,4(7):1828-1834
[8] 郭庆,殷明,吴磊.直觉模糊信息系统的优势关系及其约简[J].系统工程与电子技术,2014,6(11):2239-2243
[9] 吴磊,杨善林,郭庆.优势关系下直觉模糊目标信息系统的上近似约简[J].模式识别与人工智能,2014,7(4):300-304
[10] 王永庆.人工智能原理与方法原理[M].西安:西安交通大学出版社,1998

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Mamdani模糊推理算法的直觉化扩展

Intuitionistic Extension of Mamdani Fuzzy Reasoning Arithmetic

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