JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (08): 22-27.doi: 10.6040/j.issn.1671-9352.1.2014.200

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FMT-universal triple Ⅰ* method for R-implication operators

TANG Yi-ming, LI Xiao-mei, WU Xi   

  1. School of Computer & Information, Hefei University of Technology, Hefei 230009, Anhui, China
  • Received:2014-06-02 Revised:2014-07-08 Published:2014-09-24

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Abstract: Focusing on the FMT(fuzzy modus tollens)problem of fuzzy reasoning, as a generalization and improvement of triple Ⅰ* method, the FMT-universal triple Ⅰ* method is put forward and thoroughly investigated. First of all, the attributes of the FMT-universal triple Ⅰ* method are analyzed, and its basic principle is proposed, which improves the one of triple Ⅰ* method. Furthermore, the unified form of FMT-universal triple Ⅰ* method is established, meanwhile some optimal solutions are obtained for several classical R-implication operators. Finally, the contrapositive reversibility property of FMT-universal triple Ⅰ* method is proved with excellent results.

Key words: fuzzy reasoning, universal triple Ⅰ method, reversibility property, triple Ⅰ method

CLC Number: 

  • O159
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