Dombi Aggregation Operators of Linguistic Neutrosophic Numbers for Multiple Attribute Group Decision-Making Problems in Landslide Treatment Schemes

Abstract

The landslide disaster caused huge losses to human lives and property, and the research on the selection of landslide treatment schemes has attracted global attention. Fuzzy multiattribute decision-making methods are widely used for selecting the slope treatment schemes in engineering practice. But they do not take into account human linguistic arguments in the linguistic decision-making environment, which usually contains incomplete and uncertain information, and still lack a qualitative evaluation method. To deal with multiple attribute group decision-making (MAGDM) problems of landslide treatment schemes in the linguistic neutrosophic environment, a linguistic neutrosophic number Dombi weighted arithmetic averaging (LNNDWAA) operator and a linguistic neutrosophic number Dombi weighted geometric averaging (LNNDWGA) operator are developed to aggregate linguistic neutrosophic information. Then, a new MAGDM method using these aggregation operators is proposed in view of the Dombi operational flexibility. Finally, the proposed method is applied to select the optimal landslide treatment scheme under the linguistic neutrosophic environment. The results show that this method can effectively solve the decision-making problem of landslide treatment schemes and make the decision result more reasonable and flexible than other existing methods.