Computer Science ›› 2016, Vol. 43 ›› Issue (3): 68-71.doi: 10.11896/j.issn.1002-137X.2016.03.013

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Intuitionistic Fuzzy Reasoning Based on Truth-valued Support Degrees

XU Ben-qiang, TAN Xue-wei and ZOU Li   

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

Abstract: In order to reduce the complexity of the operation of the intuitionistic fuzzy set,membership degree and the non-membership degree were considered at the same time in the process of reasoning.In this paper,intuitionistic fuzzy reasoning method based on the truth-valued support degrees was proposed.Strong-truth degrees,truth-valued support degrees were studied and their related properties were get.The method of intuitionistic fuzzy reasoning based on the truth-valued support degrees and detailed steps for reasoning computation were given.A concrete example was given to de-monstrate the correctness and validity of the method.

Key words: Intuitionistic fuzzy set,Strong-truth degrees,Truth-valued support degrees,Intuitionistic fuzzy reasoning

[1] Zadeh L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353
[2] Atanassov K.Intuionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96
[3] Atanassov K.More on intuionistic fuzzy sets[J].Fuzzy Sets and Systems,1989,33(1):37-45
[4] Li You-yu,Zhang Xing-fang.Research on fuzzy CRI method and fuzzy reasoning[J].Fuzzy Systems and Mathematics,2013,27(4):42-47(in Chinese) 李友雨,张兴芳.模糊CRI算法及模糊推理的有效性研究[J].模糊系统与数学,2013,7(4):42-47
[5] Wang Chao.Triple I method with the reductive property of ge-neral fuzzy inference[J].Joumal of Chongqing Normal University(Natural Science),2013,30(3):103-106(in Chinese) 王超.一般模糊推理具有还原性的全蕴涵三I算法[J].重庆师范大学学报(自然科学版),2013,0(3):103-106
[6] Chen Tu-yun,Meng Yan-ping.The reasoning method by fuzzy set similarity degree[J].Journal of Engineering Mathematics,2005,22(2):346-348(in Chinese) 陈图云,孟艳平.模糊集相似度限定推理方法[J].工程数学学报,2005,2(2):346-348
[7] Lei Ying-jie,Wang Bao-shu,Lu Yan-li.Approximate reasoning method based on intuitionistic fuzzy logic[J].Control and Decision,2006,21(3):305-310(in Chinese) 雷英杰,王宝树,路艳丽.基于直觉模糊逻辑的近似推理方法[J].控制与决策,2006,1(3):305-310
[8] Lei Ying-jie,Wang Jing-yu,Ji Bo,et al.Technique for intuitio-nistic fuzzy reasoning with truth qualifications[J].Systems Engineering and Electronics,2006,28(2):234-236(in Chinese) 雷英杰,汪竞宇,吉波,等.真值限定的直觉模糊推理[J].系统工程与电子技术,2006,8(2):234-236
[9] Wang Yi,Lei Ying-jie.Techniques for interpolation reasoningbased on intuitional fuzzy logic[J].Systems Engineering and Electronics,2008,30(10):1944-1948(in Chinese) 王毅,雷英杰.基于直觉模糊逻辑的插值推理方法[J].系统工程与电子技术,2008,0(10):1944-1948
[10] Wang Yi,Liu San-yang,Zhang Wen,et al.Intuitionistic fuzzy similarity measures reasoning method based on inclusion degrees[J].Systems Engineering and Electronics,2014,36(3):494-500(in Chinese) 王毅,刘三阳,张文,等.基于包含度的直觉模糊相似度量推理方法[J].系统工程与电子技术,2014,6(3):494-500
[11] Yang Hui-cheng,Chen Hao.Intuitionistic fuzzy approximatereasoning based on intuitionistic fuzzy operation[J].Application Research of Computer,2011,28(1):102-104(in Chinese) 杨会成,陈昊.基于直觉模糊蕴涵式运算直觉模糊近似推理方法[J].计算机应用研究,2011,8(1):102-104
[12] Lv Da-jiang,Shi Zhi-han,Lei Ying-jie,et al.Intuitionistic fuzzyinference emulator based on Mamdani implication relation[J].Computer Engineering and Design,2010,31(11):2539-2542(in Chinese) 吕大江,石志寒,雷英杰,等.基于Mamdani蕴含关系的直觉模糊推理仿真[J].计算机工程与设计,2010,1(11):2539-2542
[13] Zou Li,Tan Xue-wei,Zhang Yun-xia.Knowledge reasoningbased on linguistic truth-valued intuitionistic fuzzy logic[J].Computer Science,2014,40(1):134-137(in Chinese) 邹丽,谭雪微,张云霞.语言真值直觉模糊逻辑的知识推理[J].计算机科学,2014,0(1):134-137
[14] Lei Ying-jie,Zhao Ye,Wang Tao.On the measurement of similarity on semantic match for intuitionistic fuzzy[J].Journal of Air Force Engineering University(Natural Science),2005,6(2):70-73(in Chinese) 雷英杰,赵晔,王涛.直觉模糊语义匹配的相似性度量[J].空军工程大学学报(自然科学版),2005,6(2):70-73
[15] Lei Ying-jie,Wang Tao,Zhao Ye.On the semantic distance and near compactness for intuitionistic fuzzy match[J].Journal of Air Force Engineering University(Natural Science),2005,6(1):69-72(in Chinese) 雷英杰,王涛,赵晔.直觉模糊匹配的语义距离与贴近度[J].空军工程大学学报(自然科学版),2005,6(1):69-72

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