Abstract
At present, the utilization of hesitation information of intuitionistic fuzzy numbers is insufficient in many methods which were proposed to solve the intuitionistic fuzzy multiple attribute decision-making problems. And also there exist some flaws in the intuitionistic fuzzy weight vector constructions in many research papers. In order to solve these insufficiencies, this paper defined three construction equations of weight vectors based on the risk preferences of decision-makers. Then we developed an intuitionistic fuzzy dependent hybrid weighted operator (IFDHW) and proposed an intuitionistic fuzzy multiattribute decision-making method. Finally, the effectiveness of this method is verified by a robot manufacturing investment example.
Highlights
In 1986, the fuzzy theory of Zadeh [1] was extended to the intuitionistic fuzzy theory by Atanassov [2]
By using the intuitionistic fuzzy sets (IFSs) which are characterized by a membership function and nonmembership functions, Xu [3, 4]developed intuitionistic fuzzy weighted averaging (IFWA) operator, intuitionistic fuzzy ordered weighted averaging (IFOWA) operator, and intuitionistic fuzzy hybrid aggregation (IFHA) operator
Huang et al [15] extend the VIKOR method to multiple attribute group decision-making (MAGDM) with interval neutrosophic numbers (INNs)
Summary
In 1986, the fuzzy theory of Zadeh [1] was extended to the intuitionistic fuzzy theory by Atanassov [2]. Some objective weight determination methods need to solve the linear or nonlinear programming model [22, 23] Computation of these methods is relatively cumbersome and is not suitable for decision-making problems with lots of alternatives and attributes. Wan et al [25] developed a new method with interval-valued intuitionistic fuzzy preference relations for solving group decision-making problems. By taking interaction factors of attributes into account, we defined the intuitionistic fuzzy dependent hybrid weighted operator and proposed a decision-making method. The effectiveness of this method is verified by a robot enterprises investment example
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