The Research Of Interval-valued Intuitionistic Trapezoidal Fuzzy Multiple Attribute Group Decision Making

With the development of social informatization,the problems which people faced are become more complicated and fuzzy,the decision attributes are often interrelated.Study on the multiple attribute group decision making method has become an important research direction in the field of management science.The study on the problems of multiple attribute group decision-making(MAGDM),which the attribute values are in the form of interval-valued intuitionistic trapezoidal fuzzy numbers(IVITFN)and attributes are associated with each other,are become a research hot spot nowadays.This paper mainly based on IVITFN theory,combined with three information aggregation operators,such as Bonferroni average(BM)operator,Heronian average(HM)operator and Choquet integral operator etc.This paper presents three new decision-making methods,which based on interval-valued intuitionistic trapezoidal fuzzy weighted Bonferroni means(IVITFWBM)operator,interval-valued intuitionistic trapezoidal fuzzy geometric weighted Heronian means(IVITFGWHM)operator,and interval-valued intuitionistic trapezoidal fuzzy correlated average operator based on Choquet integral.The decision-making methods of this study can not only make decision result become more scientific and reasonable,but also the theoretical study has frontier and exploratory.The research on IVITFN theory and the practical application has a very important significance.The Innovative points and results of this article are as follows:one is to combine the BM operator,HM operator and Choquet integral operator with IVITFN,forming the IVITFBM operator,IVITFWBM operator,IVITFGHM operator,VITFGWHM operator and IVITFCA operator.Meanwhile,the correlation properties of these new operators are researched.The second,based on IVITFWBM operator,VITFGWHM operator and IVITFCA operator,this paper propose some new decision-making methods to solve the problem of MAGDM in which the attribute values are in the form of IVITFN and attributes are associated with each other.Finally,this paper gave numerical experiment of MAGDM problems to well demonstrate the correctness and practicability of the proposed new methods.