Abstract
In this paper, two new aggregation operators based on Choquet integral, namely the induced generalized interval neutrosophic Choquet integral average operator(IGINCIA) and the induced generalized interval neutrosophic Choquet integral geometric operator(IG-INCIG), are proposed for multi-criteria decision making problems (MCDM). Firstly, the criteria are dependent to each other and the evaluation information of the criteria are expressed by interval neutrosophic numbers. Moreover, two indices which are inspired by the geometrical structure are established to compare the interval neutrosophic numbers. Then, a MCDM method is proposed based on the proposed aggregation operators and ranking indices to cope with MCDM with interactive criteria. Lastly, an investment decision making problem is provided to illustrate the practicality and effectiveness of the proposed approach. The validity and advantages of the proposed method are analyzed by comparing with some existing approaches. By a numerical example in company investment to expand business though five alternatives with considering four criteria, the optimal decision is made.
Highlights
Decision making problems play a very important role in our daily life
Therefor, when there is no information about the parameter λ, the operator IG-INCIG should be used for interval neutrosophics information aggregation
This paper proposes a method for multi-criteria decision making problems (MCDM) problems with interactive criteria and interval neutrosophics information
Summary
Decision making problems play a very important role in our daily life. For example, consumers choose what they need from a wide variety of brands, companies make investment decisions from numerous investment projects, government makes plans of industrial resource assignment. Similar to interval intuitionistic fuzzy sets, Wang et al [35] and Chen et al [36] proposed the concept of interval neutrosophic sets (INSs) and provided the set-theoretic operators of INSs. Besides, other methods have been used to solve MCDM problem. Some scholars considered the MCDM problems with interval neutrosophic information and interactive criteria, and proposed some valuable operators [48]. (2) Two indices based on geometrical structure to cope with strict inequality relationship are proposed, one of them can deal with equality relationship, which extends such studies and makes decision process more flexible.
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