Abstract
With respect to the multiattribute decision-making (MADM) problem in which the attributes have interdependent or interactive phenomena under the interval-valued intuitionistic fuzzy environment, we propose a group decision-making approach based on the interval-valued intuitionistic fuzzy Einstein geometric Choquet integral operator (IVIFEGC). Firstly, the Einstein operational laws and some basic principle on interval-valued intuitionistic fuzzy sets are introduced. Then, the IVIFEGC is developed and some desirable properties of the operator are studied. Further, an approach to multiattribute group decision-making with interval-valued intuitionistic fuzzy information is developed, where the attributes have interdependent phenomena. Finally, an illustrative example is used to illustrate the developed approach.
Highlights
The intuitionistic fuzzy set (IFS) [1] is the generalization of fuzzy set theory proposed by Zadeh [2]
We developed the interval-valued intuitionistic fuzzy Einstein geometric Choquet integral operator and applied it in multiattribute group decision-making problems with interval-valued intuitionistic fuzzy information, where the attributes have interdependent phenomena
The interval-valued intuitionistic fuzzy Einstein geometric Choquet integral operator is proposed and the properties of the operator are investigated as follows
Summary
The intuitionistic fuzzy set (IFS) [1] is the generalization of fuzzy set theory proposed by Zadeh [2]. Zhao et al [8] proposed the generalized intervalvalued intuitionistic fuzzy ordered weighted averaging operator and the generalized interval-valued intuitionistic fuzzy hybrid averaging operator. Yang and Yuan [19] presented the induced interval-valued intuitionistic fuzzy Einstein ordered weighted geometric operator. Liu et al [42] developed the IVIFOWCS operator which combines the interval-valued intuitionistic fuzzy cosine similarity measure with the generalized ordered weighted averaging operator and applied it in the investment decision-making. We developed the interval-valued intuitionistic fuzzy Einstein geometric Choquet integral operator and applied it in multiattribute group decision-making problems with interval-valued intuitionistic fuzzy information, where the attributes have interdependent phenomena.
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