Group Decision Making Methods With Intuitionistic Fuzzy Preference Relations And Their Applications

With the development of science and technology,More and more firms pay considerable attention to Radio Frequency Identification(RFID)since it has advantages on Supply chain management,production control,etc.Based on industry development and firm’s characteristics,RFID vendors would develop appropriate RFID applications for such firm,which is called as RFID solution.It is important for firms to select the best RFID solution,which plays an essential role for successful implementation of RFID technology.And such selection problems can be regarded as a kind of management decision problems.For the actual management decision problem such as RFID solution selection problem,how to make some scientific and reasonable way to solve such decision problems is particularly important and urgent.In general,such decision problems can be solved by group decision making(GDM)methods with intuitionistic fuzzy preference relations(IFPRs).However,the current study on GDM with IFPRs has two limitations:First,in the existing methods,the priority weights are determined only by satisfing the consistency of IFPRs as much as possible.But when IFPRs are extremely inconsistent,using such methods directly can lead to unreasonable results.Second,a lot of GDM methods ignored the group consensus of the decison making,or given the consensus threshold artificially,which is unreasonable.To be free of the above limitations,this paper proposed two methods for solving GDM problems with IFPRs according to decision makers’ level of knowledge.Moreover,two real-world RFID technology selection examples are calculated using the two proposed methods,which can illustratethe validity of the proposed methods,respectively.The major innovations and significant contributions of this paper are listed in three aspects.1.Using TOPSIS(technique for order preference by similarity to ideal solution)method,we defined the clossness degree of intuitionistic fuzzy value by the distances from the intuitionistic fuzzy value to the positive ideal intuitionistic fuzzy value and the negative ideal intuitionistic fuzzy value.Moreover,the reliability degree of intuitionistic fuzzy value is determined by the geometrical representation of an intuitionistic fuzzy set.It is proved that the closeness degree and the triangle area just form an interval.Combining the clossness degrees and the reliability degrees of intuitionistic fuzzy values,a new lexicographical method is proposed for ranking the intuitionistic fuzzy values.Furthermore,considered the risk attitude of decision maker sufficiently,a novel risk attitudinal ranking measure is developed to rank the IFVs on the basis of the continuous ordered weighted average(C-OWA)operator and this interval.2.When decision makers have high level of knowledge,they can provide the reasonable IFPRs.Under the circumstances,only the group consensus are taken into account in decision making.Therefore,a GDM method with IFPRs is proposed by considering the group consensus.In this method,to achieve higher group consensus as well as possible,we construct an intuitionistic fuzzy linear programming model to derive experts’ weights.Depending on the construction of membership and non-membership functions,the constructed intuitionistic fuzzy linear programming model is solved by three kinds of approaches:optimistic approach,pessimistic approach and mixed approach.Then to derive the ranking order of alternatives from the collective IFPR,we extend quantifier guided non-dominance degree(QGNDD)and quantifier guided dominance degree(QGDD)to intuitionistic fuzzy environment.A new two-phase ranking approach is designed to generate the ordering of alternatives based on QGNDD and QGDD.Finally,a RFID technology selection example of a supermarket chain validate of the proposed method.3.When decision makers have low level of knowledge,they cannot provide the reasonable IFPRs.Both the group consensus and the consistency of IFPR are considered in such decision making.Therefore,a GDM method with IFPRs is proposed by considering the group consensus and the consistency of IFPR simultaneously.In this method,by extending TOPSIS in intuitionistic fuzzy environment,DMs’ weights are determined.Then the collective IFPR is aggregated by individual IFPRs.According to the consistency of IFPR,the intuitionistic fuzzy program is established to obtain the priority weights of alternatives.Considering decision makers’ risk attitude,three approaches are proposed to solve the established intuitionistic fuzzy program,including optimistic approach,pessimistic approach and mixed approach.The priority weights,can derive the ranking order of alternatives,which could also reflect the degree to which an alternative is preferred the other.Finally,an example of RFID solution selection for a tobacco distribution center is applied the proposed method to show its effectiveness.In addition,this method can also be empplyed to solve other GDM problems.