Title of article :
Symmetric implicational algorithm derived from intuitionistic fuzzy entropy
Author/Authors :
Tang ، Y. M. Anhui Province Key Laboratory of Aective Computing and Advanced Intelligent Machine,Key Laboratory of Knowledge Engineering with Big Data - School of Computer and Information - Ministry of Education, Hefei University of Technology , Zhang ، L. Anhui Province Key Laboratory of A ective Computing and Advanced Intelligent Machine,Key Laboratory of Knowledge Engineering with Big Data - School of Computer and Information - Ministry of Education, Hefei University of Technology , Bao ، G. Q. Key Laboratory of Knowledge Engineering with Big Data , Anhui Province Key Laboratory of Aective Computing and Advanced Intelligent Machine - School of Computer and Information - Ministry of Education, Hefei University of Technology , Ren ، F. J. Institute of Technology and Science - University of Tokushima , Pedrycz ، W. Department of Electrical and Computer Engineering - Faculty of Engineering - King Abdulaziz University
Abstract :
On account of the idea of maximum fuzzy entropy and symmetric implicational mechanism under the environment of intuitionistic fuzzy sets, we come up with the intuitionistic fuzzy entropy derived symmetric implicational (IFESI) algorithm. Above all, novel symmetric implicational principles are presented, and the unified solutions of the IFESI algorithm are acquired for IFMP (intuitionistic fuzzy modus ponens) and IFMT (intuitionistic fuzzy modus ponens), which build upon in view of residual intuitionistic implications. Thereafter, the reductive properties and continuity of the IFESI algorithm are validated for IFMP and IFMT. In addition, the IFESI algorithm is extended to the α-IFESI algorithm, and the unified solutions of the α-IFESI algorithm are obtained for IFMP and IFMT. Finally, two examples of fuzzy classification for the α-IFESI algorithm are presented to demonstrate the detailed computing process of the IFESI algorithm.
Keywords :
Fuzzy reasoning , Intuitionistic fuzzy entropy , compositional rule of inference , symmetric implicational algorithm , reductive property , Continuity
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
