The Dual Triple I Methods of FMT and IFMT | Zendy

Yan Liu | Zendy; Mucong Zheng | Zendy

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The Dual Triple I Methods of FMT and IFMT

Author(s) -

Yan Liu,

Mucong Zheng

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/507401

Subject(s) - dual (grammatical number) , operator (biology) , fuzzy logic , mathematics , lattice (music) , residual , algorithm , computer science , artificial intelligence , physics , art , biochemistry , chemistry , literature , repressor , transcription factor , acoustics , gene

The Triple I method for the model of intuitionistic fuzzy modus tollens (IFMT) satisfies the local reductivity instead of the reductivity. In order to improve the quality of the Triple I method for lack of reductivity, the paper is intended to present a new approximate reasoning method for IFMT problem. First, the concept of intuitionistic fuzzy difference operator is proposed and its properties on the lattice structure of intuitionistic fuzzy sets are studied. Then, the dual Triple I method for FMT based on residual fuzzy difference operator is presented and the dual Triple I method is generated for IFMT. Moreover, a decomposition method of IFMT is provided. Furthermore, the reductivity of methods is investigated. Finally, α -dual Triple I method of IFMT is proposed.

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