Affiliations: School of Computer and Information, Hefei University of Technology, Hefei, P.R.China | Institute of Technology and Science, The University of Tokushima, Minami Josanjima, Tokushima, Japan
Note: [] Corresponding author. Yiming Tang, School of Computer and Information, Hefei University of Technology, Hefei 230009, P.R.China. Tel: +86 13866118042; Fax: +86 551 62904642; E-mail: [email protected]
Abstract: To reveal the inherent essence of current differently implicational algorithms for fuzzy inference, the variable differently implicational algorithm is put forward and investigated. The differently implicational principles are improved from variable and generalized viewpoint. Furthermore, focusing on the FMP (fuzzy modus ponens) problem, unified forms of the new algorithm are obtained for R-implications and S-implications. Following that, the optimal differently implicational solutions are achieved for several specific R-implications and S-implications. Lastly, the new algorithm makes the current differently implicational algorithms compose a united whole.
Keywords: Fuzzy inference, fuzzy modus ponens, fuzzy implication, compositional rule of inference, fully implicational algorithm
