Multi-Criteria Decision-Making Method Using Heronian Mean Operators under a Bipolar Neutrosophic Environment

Changxing Fan, Jun Ye, Sheng Feng, En Fan and Keli Hu
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Changxing Fan: Department of Computer Science, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
Jun Ye: Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
Sheng Feng: Department of Computer Science, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
En Fan: Department of Computer Science, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
Keli Hu: Department of Computer Science, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China

Mathematics, 2019, vol. 7, issue 1, 1-16

Abstract: In real applications, most decisions are fuzzy decisions, and the decision results mainly depend on the choice of aggregation operators. In order to aggregate information more scientifically and reasonably, the Heronian mean operator was studied in this paper. Considering the advantages and limitations of the Heronian mean (HM) operator, four Heronian mean operators for bipolar neutrosophic number (BNN) are proposed: the BNN generalized weighted HM (BNNGWHM) operator, the BNN improved generalized weighted HM (BNNIGWHM) operator, the BNN generalized weighted geometry HM (BNNGWGHM) operator, and the BNN improved generalized weighted geometry HM (BNNIGWGHM) operator. Then, their propositions were examined. Furthermore, two multi-criteria decision methods based on the proposed BNNIGWHM and BNNIGWGHM operator are introduced under a BNN environment. Lastly, the effectiveness of the new methods was verified with an example.

Keywords: bipolar neutrosophic number (BNN); BNN improved generalized weighted HM (BNNIGWHM) operator; BNN improved generalized weighted geometry HM (BNNIGWGHM) operator; decision-making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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