Abstract
This paper studies the improved aggregation operator based on Dombi and its application in multiattribute decision making (MADM). Firstly, the axiomatic definition of interval-valued hesitant fuzzy elements (IVHFEs) based on Dombi t-norm and t-conorm is introduced. Secondly, we propose a series of IVHFE aggregation operators (IVHFDWA, IVHFDWG, IVHFDOWA, IVHFDOWG, IVHFDHA, and IVHFDHG). In order to get the weight information of attributes, based on the basic idea of traditional distance formula, a distance formula between IVHFEs is constructed, and the optimization model of attribute weight is established. Then, a case study for selection of information security platform is given to demonstrate the merits of the developed method. The parameters of aggregation operator are analyzed in detail, and the critical value of parameters affecting decision making is given. Finally, this method is compared with other methods, which proves the validity and applicability of this method.
Highlights
With the rapid development of information technology and the popularization of global information technology, enterprise information has become the general trend of enterprise development
We analyze the influence of parameter λ on interval-valued hesitant fuzzy Dombi hybrid averaging (IVHFDHA) and interval-valued hesitant fuzzy Dombi hybrid geometric (IVHFDHG) operators. e results are shown in Tables 5 and 6, respectively
Novel multiattribute decision making (MADM) Method Based on the Proposed Operators. en, the details of the novel method are described based on IVHFDHA operator as follows: Step 1: standardized decision matrix
Summary
With the rapid development of information technology and the popularization of global information technology, enterprise information has become the general trend of enterprise development. Chen et al [20] defined interval-valued fuzzy sets (IVFSs), which is more suitable for solving practical group decision-making problems [20,21,22,23]. Jana et al [44] applied this method in MADM problems and achieved good application results He [45] used Dombi operation to define the aggregation operators and applied these aggregation operators to aggregate hesitant fuzzy information for evaluating disasters. Based on the above discussion, the goals of the present work is to investigate Dombi aggregation operators of IVHFEs that allow DMs to have more choice in MADM problems.
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