Journal of Systems Engineering and Electronics ›› 2012, Vol. 23 ›› Issue (4): 560-573.doi: 10.1109/JSEE.2012.00070

• SYSTEMS ENGINEERING • Previous Articles     Next Articles

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

Yiming Tang1,2,3, *, Fuji Ren3,4, and Yanxiang Chen3   

  1. 1. Information and Communication Engineering Postdoctoral Research Station, Hefei University of Technology,
        Hefei 230009, P. R. China;
    2. State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing 100191, P. R. China;
    3. Anhui Province Key Laboratory of Affective Computing and Advanced Intelligent Machine,
        Hefei University of Technology, Hefei 230009, P. R. China;
    4. Institute of Technology and Science, The University of Tokushima, Minami Josanjima, 770-8506, Japan
  • Online:2012-08-21 Published:2010-01-03


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.