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Differently implicational α-universal triple i restriction method of (1, 2, 2) type

Journal of Systems Engineering and Electronics 2012年第4期23卷 560-573页

作者： Yiming Tang Fuji Ren Yanxiang Chen information and Communication Engineering Postdoctoral Research Station Hefei University of TechnologyHefei 230009P.R.China State Key Laboratory of Virtual Reality Technology and Systems Beihang UniversityBeijing 100191P.R.China Anhui Province Key Laboratory of Affective Computing and Advanced intelligent Machine Hefei University of TechnologyHefei 230009P.R.China institute of Technology and Science The University of TokushimaMinami Josanjima770-8506Japan

From the viewpoints of both fuzzy system and fuzzy reasoning, a new fuzzy reasoning method which contains the α- triple i restriction method as its particular case is proposed. The previous α-triple i restriction principles are improved, and then the optimal restriction solutions of this new method are achieved, especially for seven familiar implications. As its special case, the corresponding results of α-triple i restriction method are obtained and improved. Lastly, it is found by examples that this new method is more reasonable than the α-triple i restriction method.

关键词： fuzzy reasoning fuzzy system triple i method triple irestriction method compositional rule of inference method.

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Truth-value transmittal fuzzy reasoning inter-polator

引用

Science in China(Series F) 2005年第6期48卷 737-746页

作者： YAN Jianping LEUNG Yee Department of Computer Science and Technology Beijing Normal University Beijing 100875 China Department of Geography Hong Kong Chinese University Hong Kong

in this paper, we firstly associate fuzzy reasoning algorithm with the interpolation algorithm and discuss the limitation of defuzzification methods used commonly in the fuzzy reasoning algorithm. Secondly, we give a new fuzzy reasoning algorithm in case of single input, called the truth-value transmittal method, and discuss its properties. Finally, we analyze the rationality to adopy the truth-value transmittal method as the defuzzification method of full implication triple i method, and show that although CRi and triple i fuzzy reasoning method are different from fuzzy output set, they are uniform finally under the truth-value transmittal defuzzification method.

关键词： fuzzy reasoning interpolation triple i method truth-value transmittal method.

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