The Correlation Coefficient Of Several Classes Of Extended Hesitant Fuzzy Sets And Their Application

Due to many internal and external factors,it is difficult for decision-makers to make reasonable and accurate judgments if they only use hesitant fuzzy sets in the decision-making process.In order to deal with this situation,in recent years,many scholars have devoted themselves to the study of several classes of extended hesitant fuzzy sets,and apply these theories to medical diagnosis,personnel assessment,information retrieval and many other fields.The main research objects are several classes of extended hesitant fuzzy sets in this dissertation and the main research contents and innovative work are as follows:The first chapter includes the background of this dissertation and the historical background,research status and related concepts of several classes of extended hesitant fuzzy sets.The chapter two develops the mean and variance of extended hesitant fuzzy element,and proposes the correlation coefficient and weighted correlation coefficient of extended hesitant fuzzy set.Finally,we apply it to practical applications of medical diagnosis.The chapter three proposes the correlation coefficient of the discrete and continuous probabilistic hesitant fuzzy sets.And the definition of the information energy,mathematical expectation and variance of probabilistic hesitant fuzzy element are derived.Finally,we apply it to practical applications of traffic safety management.The chapter four proposes a new correlation coefficient and weighted correlation coefficient of linguistic hesitant fuzzy sets,and gives their related properties.Finally,we compare it by an example to prove its reliability.The chapter five derives the concept of probabilistic linguistic hesitant fuzzy set.And we define its basic operations,comparison laws,some aggregation operations and the TOPSIS method,and applies it to practical applications of the evaluation of teachers in university.