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Published in: Cognitive Computation 3/2021

30-07-2020

Possibility Degree and Power Aggregation Operators of Single-Valued Trapezoidal Neutrosophic Numbers and Applications to Multi-Criteria Group Decision-Making

Authors: Jing Wang, Jian-qiang Wang, Yin-xiang Ma

Published in: Cognitive Computation | Issue 3/2021

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Abstract

Single-valued trapezoidal neutrosophic numbers (SVTNNs) are very useful tools to describe complex cognitive information because of their advantage in maintaining the completeness and accuracy of information. This paper develops a method based on the single-valued trapezoidal neutrosophic power-weighted aggregation operators and possibility degree of SVTNNs for dealing with multi-criteria group decision-making (MCGDM) problems. First, the limitations of the existing operations for SVTNNs are discussed, and then an improved operation is defined. Moreover, the possibility degree of two SVTNNs with consideration of the influence of risk attitudes is proposed, and the comparison rules for SVTNNs are thereby established. Based on the new operation and possibility degree of SVTNNs, the single-valued trapezoidal neutrosophic power average and single-valued trapezoidal neutrosophic power geometric operators are proposed to aggregate the single-valued trapezoidal neutrosophic information. Furthermore, a single-valued trapezoidal neutrosophic MCGDM method is developed. Finally, an example of a company selecting the most suitable green supplier is provided to present a comparative analysis between the proposed approach and other related methods. This example can demonstrate the effectiveness and flexibility of the proposed methodology.

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Appendix
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Metadata
Title
Possibility Degree and Power Aggregation Operators of Single-Valued Trapezoidal Neutrosophic Numbers and Applications to Multi-Criteria Group Decision-Making
Authors
Jing Wang
Jian-qiang Wang
Yin-xiang Ma
Publication date
30-07-2020
Publisher
Springer US
Published in
Cognitive Computation / Issue 3/2021
Print ISSN: 1866-9956
Electronic ISSN: 1866-9964
DOI
https://doi.org/10.1007/s12559-020-09736-2

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