Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (34): 125-129.

### Intuitionistic fuzzy dual compositional negator on triple I method for IFMT

WEI Bo1，2, LI Zhenxi1, YANG Dongxing1

1. 1.College of Geomatics and Geoinformation, Guilin University of Technology, Guilin, Guangxi 541004, China
2.Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin University of Technology, Guilin, Guangxi 541004, China
• Online:2012-12-01 Published:2012-11-30

### 直觉模糊二元合成补IFMT三I方法

1. 1.桂林理工大学 测绘地理信息学院，广西 桂林 541004
2.桂林理工大学 广西空间信息与测绘重点实验室，广西 桂林 541004

Abstract: To the problems of continuing to use unitary negators of Fuzzy sets in constructing Intuitionistic Fuzzy Implication Operators（IFIO）, a concept of dual compositional negator is proposed by using both membership function and non-membership function of Intuitionistic Fuzzy Sets（IFS） to compute compositional negator. Some properties of dual compositional negator are given and it is showed that the standard and involutive negators of IFS are two special cases of dual compositional negator. Then a IFIO of R0 based on dual compositional negator is constructed and applied on triple I method for Intuitionistic Fuzzy Modus Tollens（IFMT） problem. The results show that the constructing method of IFIO based on dual compositional negator is simpler, and the constructed IFIO is easy to satisfy the conditions of the IFS definition. It is also proved that the properties possessed by the constructed IFIO are fit for triple I method of IFMT, and can ensure that triple I method for IFMT is a reductive algorithm under some conditions.