Approaches And Applications To Multiple Attribute Decision Making Based On Q-rung Orthopair Hesitant Fuzzy Measures

With the rapid development of social economy and the steady improvement of people’s living standard,the form of the information evaluation in real decision-making problems is becoming more and more complex.Due to the limitation of their own knowledge and the external competitive pressure,people are easy to show hesitation when facing complex decision-making problems.therefore,the way which expresses evaluation information by q-rung orthopair hesitant fuzzy sets has become more and more popular among decision makers and attracted wide attention of scholars from all walks of life.In this paper,the multi-attribute decision making problem in q-rung orthopair hesitant fuzzy environment has been deeply studied and explored.The main research work is as follows:Chapter 1 mainly introduces the research background of multi-attribute decision making method,q-rung orthopair hesitation fuzzy set,and analyzes the domestic and foreign research status.Finally,the chapter proposes the main research content.Chapter 2 firstly lists the concept of intuitionistic fuzzy sets,q-rung fuzzy sets,hesitant fuzzy sets and q-rung orthopair hesitant fuzzy sets,Secondly,it briefly introduces the algorithm of q-rung orthopair hesitation fuzzy numbers and the method of comparing sizes.and at the same time,in order to solve the inconsistency of the number of elements of the q-rung orthopair hesitation fuzzy number,the q-rung orthopair hesitant fuzzy number normalization method based on standardization and the least common multiple are given.Chapter 3 proposes a multi-attribute decision making method based on the new distance measure in the q-rung orthopair hesitant fuzzy environment.Firstly,a new distance measure based on Thiel inequality coefficient is given in the q-rung orthopair hesitant fuzzy environment.Secondly,an attribute weight determination model based on maximization of deviation is constructed.Finally,combined with TOPSIS method,the multi-attribute decision making method is applied in the energy development problem to prove its feasibility.Chapter 4 proposes a q-rung orthopair hesitant fuzzy VIKOR method based on grey relational degree.Firstly,the q-rung orthopair hesitant fuzzy Minkowski distance measure and the q-rung orthopair hesitant fuzzy Minkowski weighted distance measure are given,and it is proved that they satisfy the relevant theorems.Secondly,the attribute weight determination model is proposed based on the grey relational degree.Finally,combined with the VIKOR method,a q-rung orthopair hesitant fuzzy multi-attribute decision making method based on grey relational degree is constructed,and it is applied in the construction bidding project to verify its effectiveness.Chapter 5 proposes a q-rung orthopair hesitant fuzzy TOMID method based on the maximization of difference.Firstly,the concept of q-rung orthopair hesitant fuzzy information integration operator is introduced.Then,an expert weight determination model based on the maximization of difference is proposed by regarding the q-rung orthopair hesitant fuzzy information integration operator as the measurement of the difference degree of decision information.Finally,a q-rung orthopair hesitant fuzzy TOMID method based on the maximization of difference is proposed,and the feasibility and effectiveness of this method are illustrated by a case of medical care center selection.Finally,we summarize the research work of the whole paper and predict the future research direction.