区间值模糊推理三Ⅰ约束算法

详细信息    查看全文 | 推荐本文 |

英文篇名：Triple Ⅰ Restriction Methods Based on Interval-valued Fuzzy Inference 作者：井美 ; 惠小静 ; 王蓉 英文作者：JING-mei;HUI Xiao-jing;WANG-rong;College of Mathematics and Computer Science,Yan'an University; 关键词：区间值模糊推理 ; 三Ⅰ约束算法 ; 蕴涵算子 英文关键词：Interval-valued Fuzzy Inference;;Triple Ⅰ Restriction Methods;;Implication 中文刊名：MUTE 英文刊名：Fuzzy Systems and Mathematics 机构：延安大学数学与计算机科学学院; 出版日期：2018-10-15 出版单位：模糊系统与数学 年：2018 期：v.32 基金：国家自然科学基金资助项目(11471007);; 延安大学研究生创新基金资助项目 语种：中文; 页：MUTE201805004 页数：7 CN：05 ISSN：43-1179/O1 分类号：32-38

摘要

基于区间值模糊集讨论了区间值模糊推理三Ⅰ约束算法,给出了ⅠFMP、ⅠFMT问题的区间值模糊推理三Ⅰ约束算法解的表达形式,并且针对三种具体的蕴涵算子,获得了相应的区间值模糊推理三Ⅰ约束算法的解。
        Firstly,based on interval-valued fuzzy set,the interval-valued fuzzy inference triple Ⅰ restriction methods are discussed.Then,the expression form of solutions of interval-valued fuzzy inference triple Ⅰ restriction methods based on IFMP and IFMT problems are given.Finally,corresponding solutions of interval-valued fuzzy inference triple Ⅰ restriction methods are obtained for three kinds of specific implications.

引文

[1] Zadeh L A.Qutline of a new approach to the analysis of complex systems and decision process[J].IEEE Trans Syst Man Cyber,1973,3(1):28~44.
    [2]王国俊.模糊推理的全蕴涵三I算法[J].中国科学(E辑),1999,29(1):43~53.
    [3]裴道武.几类广义模糊集关系[J].模糊系统与数学,2012,26(4):108~116.
    [4]俞峰.直觉区间值模糊推理的三I算法[J].自动化技术与应用,2008,27(2):5~12.
    [5] Cornelis C,Deschrijver G,Kerre E E.Implication in intuitionistic fuzzy and interval-valued fuzzy set theory:Construction,classification,application[J].Int J Approx Reas,2004,35:55~95.
    [6]郑慕聪.剩余型直觉模糊推理的三I方法[J].中国科学(信息科学),2013,43(6):810~820.
    [7] Luo M X,Zhang K.Robustness of full implication algorithms based on interval-valued fuzzy inference[J].International Journal of Approximate Reasoning,2015,62:61~72.
    [8]王向云.区间值模糊推理的三I算法[J].高校应用数学学报(A辑),2003,18(4):467~472.
    [9]杨超.区间值三I算法的鲁棒性[J].浙江海洋学院学报(自然科学版),2012,31(5):440~446.
    [10] Song S J,Wu C.Reverse triple I method of fuzzy reasoning[J].Science in China(Series F:Information Sciences),2002,45(5):344~364.
    [11] Luo M X,Zhou X L.Robustness of reverse triple I algorithms based on interval-valued fuzzy inference[J].International Journal of Approximate Reasoning,2015,66:16~26.
    [12] Luo M X,Sang N,Zhang K.Differently implicational universal triple I algorithms of(1,2,1)type[J].Journal of Computational Information Systems.2013,9(2):765~772.
    [13] Luo M X,Sang N,Zhang K.Unified differently implicational(1,2,1)type algorithms of fuzzy reasoning[J].Journal of Computational Information Systems,2013,9(4):1669~1677.
    [14] Luo M X,Cheng Z,Wu J.Robustness of interval-valued universal triple I algorithms[J].Journal of Intelligent Fuzzy Systems,2016,30(3):1619~1628.
    [15]宋士吉,冯纯伯,吴从炘.关于模糊推理的全蕴涵三I算法的约束度理论[J].自然科学进展,2000,10,(10):884~889.
    [16] Deschrijver G,Cornelis C,Kerre E E.On the representation of intuitionistic fuzzy t-norms and t-conorms[J].IEEE Transactions on Fuzzy Systems,2004,12(1):45~61.
    [17] Jenei S.A more efficient method for defining fuzzy connectives[J].Fuzzy Sets and Systems,1997,90(1):25~35.
    [18] Alcalde C,Burusco A,Fuentes-Gonzalez R.A constructive method for the definition of interval-valued fuzzy implication operators[J].Fuzzy Sets and Systems,2005,153(2):211~227.
    [19]刘华文,王国俊.模糊推理三I约束算法的一般表示[J].模糊系统与数学,2008,22(3):1~7.