P-Indeterminate Vector Similarity Measures of Orthopair Neutrosophic Number Sets and Their Decision-Making Method with Indeterminate Degrees

Zhao, Mailing; Ye, Jun

doi:10.32604/cmes.2021.016871

Cited by 1 publication

(1 citation statement)

References 27 publications

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“…Then, the main advantage of NN is that it can flexibly represent the information of both the partial certainty and the partial uncertainty. Therefore, NNs have been used in multiple attribute decision making (MADM) problems in an indeterminate circumstance [22,23]. However, NN cannot express the truth, falsity, and indeterminacy information.…”

Section: Introductionmentioning

confidence: 99%

Some aggregation operators of parameterized single-valued neutrosophic numbers and their MADM approach in simplified neutrosophic indeterminate scenarios

Zhang,

Zhao,

2023

Decision Making and Analysis

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Simplified neutrosophic indeterminate sets/numbers (SNISs/SNINs) can conveniently express the partially determinate and partially indeterminate information of truth, falsity, indeterminacy membership degrees, which shows its main merit. Then, the existing aggregation algorithms of SNINs lack a parameterized aggregation method to reach a flexible decision-making method subject to different decision risks. Therefore, this study proposed a MADM approach using some aggregation operators of parameterized single-valued neutrosophic numbers in a simplified neutrosophic indeterminate scenario. First, we presented a conversion technique from SNINs to parameterized single-valued neutrosophic numbers (PSVNNs) by an indeterminate parameter. Second, we proposed the score function of PSVNN and the parameterized single-valued neutrosophic weighted arithmetic averaging (PSVNWAA) and parameterized single-valued neutrosophic weighted geometric averaging (PSVNWGA) operators. Third, a multiple attribute decision-making (MADM) approach with the smaller, moderate and larger decision risks is developed by the PSVNWAA or PSVNWGA operator in a SNIS setting. Forth, the developed MADM approach is applied to the choice problem of clinical physicians as a numerical example. Generally, the developed MADM approach reveals the advantage of flexible decision making subject to the smaller, moderate, and larger decision risks of decision makers in a neutrosophic indeterminate scenario. However, this study reveals the main contributions in the aggregation algorithms of PSVNNs and flexible MADM approach in a SNIS setting.

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Section: Introductionmentioning

confidence: 99%