Structure And Properties Of The Entropy For Complex Fuzzy Number Intuitionistic Fuzzy Sets

Professor L.A.Zadeh founded the fuzzy set theory in 1965, and developed the definit ion of fuzzy set entropy to measure the scale of a fuzzy set. These theories have been widely used in various research fields. The fuzzy set theory attracts a large number of scholars to participate in the study due to its universal application.These scholars have established the definit ion of intuitionistic fuzzy sets and give the definition of the relative entropy. Compared to the previous fuzzy set, the theory of the subsequent development can solve more problems and have more flexibility. Especially, the definition of fuzzy number intuit ionistic fuzzy sets that Yuan Xuehai and other scholars have develped these years and the definition of complex fuzzy number intuit ionistic fuzzy sets which Ma Shengquan and other scholars established broadened the theory and application of the fuzzy set.Due to the progressiveness of the definition of the complex fuzzy number intuitionistic fuzzy set, it is has more advantages in dealing with specific problems than the original classic fuzzy set theory, so the research of complex fuzzy number intuitionistic fuzzy set has a significance on theory and application. This paper will discuss the following aspects of the problem:First we will introduce the relevant theoretical knowledge of fuzzy set, intuitionistic fuzzy set, fuzzy number intuit ionistic fuzzy set and co mplex fuzzy number intuitionistic fuzzy set is introduced.Next we will introduce the definition of the complex fuzzy number intuitionist ic fuzzy set and the entropy of it.Then we will discusse the structure of the entropy for complex fuzzy number intuitionistic fuzzy set.At the end of the chapter, some properties of intuit ionistic fuzzy set entropy of complex fuzzy number are discussed.