Spherical aggregation operators and their application in multiattribute group decision-making

Ashraf, Shahzaib; Abdullah, Saleem

doi:10.1002/int.22062

Cited by 179 publications

(142 citation statements)

References 28 publications

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“…, which is different from the results of the method proposed here, both in overall ranking and in best choice. Furthermore, from the Spearman's rank-correlation test, it can be inferred that the rankings produced by the methods in [32,36] are similar to that produced by the proposed method, and the ranking using methods [37,45] are uncorrelated with the ranking based on the proposed method.…”

Section: Ranking Resultsmentioning

confidence: 99%

“…The proposed method (P1) 5 4 2 1 6 3 The method using Archimedean operator by [32] (P2) 5 4 3 1 6 2 The method using logarithmic operation by [36] (P3) 5 3 2 1 6 4 The method using cosine similarity measures by [37] (P4) 3 2 4 1 5 6 The method using induced generalized aggregation operator by [45] Specifically, the method based on Archimedean operators proposed by Ashraf et al [23] is applied in this numerical example. The result of an alternative ranking is…”

Section: Ranking Resultsmentioning

confidence: 99%

“…One of the causes is the expression of evaluation information. The methods developed by [32,36,37] can only describe the subjective evaluation information given by decision makers (SpFN); they neglect the objective information of the target criterion (NFN). In contrast, the proposed method, which combines SpFN and NFN, can depict both the subjective and the objective evaluation information.…”

Section: Ranking Resultsmentioning

confidence: 99%

“…For any SpFN, it satisfies 0 ≤ δ 2 A + γ 2 A + τ 2 A ≤ 1. Then, π A (x) = 1 − δ 2 A + γ 2 A + τ 2 A is the refusal MBF of x to T. Definition 4 [32]. Let A 1 = δ 1 , γ 1 , τ 1 and A 2 = δ 2 , γ 2 , τ 2 be two SpFNs, and λ ≥ 0.…”

Section: Preliminariesmentioning

confidence: 99%

“…The Spearman's rank-correlations test results are shown in Table 6. According to Table 6, we can see the similarities and differences between the methods by [32,36,37,45], and our method.…”

Section: Comparative Analysismentioning

confidence: 99%

See 4 more Smart Citations

Decision Support Algorithm for Selecting an Antivirus Mask over COVID-19 Pandemic under Spherical Normal Fuzzy Environment

Yang

Garg

et al. 2020

IJERPH

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With the rapid outbreak of COVID-19, most people are facing antivirus mask shortages. Therefore, it is necessary to reasonably select antivirus masks and optimize the use of them for everyone. However, the uncertainty of the effects of COVID-19 and limits of human cognition add to the difficulty for decision makers to perfectly realize the purpose. To maximize the utility of the antivirus mask, we proposed a decision support algorithm based on the novel concept of the spherical normal fuzzy (SpNoF) set. In it, firstly, we analyzed the new score and accuracy function, improved operational rules, and their properties. Then, in line with these operations, we developed the SpNoF Bonferroni mean operator and the weighted Bonferroni mean operator, some properties of which are also examined. Furthermore, we established a multi-criteria decision-making method, based on the proposed operators, with SpNoF information. Finally, a numerical example on antivirus mask selection over the COVID-19 pandemic was given to verify the practicability of the proposed method, which the sensitive and comparative analysis was based on and was conducted to demonstrate the availability and superiority of our method. Admittedly, with this terrible virus, everyone is eager to get the best mask, but different groups of people should have dissimilar specific needs. Especially under the situation of COVID-19 spreading and a mask shortage, it is everyone's basic duty and obligation to resist COVID-19 without excessive protection. Therefore, for different groups of people, the rational choice and utilization of masks has pivotal practical significance. Obviously, the best masks do not mean the most expensive ones. For most people, it is not necessary to use masks with the same standard as those used by front-line medical staff. The suitability of an antivirus mask is not only related to the protective effect of the mask itself, but also to the tightness (the leakage rate) of the combination of the mask and the human face. In addition, under the severe epidemic situation and the lack of antivirus masks, the choice of masks is also relevant to factors such as reusability and quality of raw materials. Therefore, for the vast majority of people, under the severe epidemic situation, it is essential to consider multiple factors when choosing a mask to optimize the allocation of medical resources. However, people's limited knowledge and the uncertainty of the COVID-19 expansion increases the difficulty and complexity for decision-making about selecting a reasonable antivirus mask. To cope with this challenge, this paper proposed a multi-criteria decision-making (MCDM) method for selecting an antivirus mask under spherical normal fuzzy using the Bonferroni Mean operator.The study yields a number of contributions as follows:(1) A novel concept of the Spherical normal fuzzy (SpNoFS) set is defined, between which the new score, the accuracy function, and some improved operational rules are established. (2) Some new information aggregation operators based on ...

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Section: Ranking Resultsmentioning

confidence: 99%

Section: Ranking Resultsmentioning

confidence: 99%

Section: Ranking Resultsmentioning

confidence: 99%

Section: Preliminariesmentioning

confidence: 99%

“…The Spearman's rank-correlations test results are shown in Table 6. According to Table 6, we can see the similarities and differences between the methods by [32,36,37,45], and our method.…”

Section: Comparative Analysismentioning

confidence: 99%

See 3 more Smart Citations

Decision Support Algorithm for Selecting an Antivirus Mask over COVID-19 Pandemic under Spherical Normal Fuzzy Environment

Yang

Garg

et al. 2020

IJERPH

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A Dempster‐Shafer theory and uninorm‐based framework of reasoning and multiattribute decision‐making for surveillance system

Liu

Luo

et al. 2019

Int J Intell Syst

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Closed-circuit television and sensor-based intelligent surveillance systems have attracted considerable attentions in the field of public security affairs. To provide real-time reaction in the case of a huge volume of the surveillance data, researchers have proposed eventreasoning frameworks for modeling and inferring events of interest. However, they do not support decisionmaking, which is very important for surveillance operators. To this end, this paper incorporate a function of decision-making in an event-reasoning framework, so that our model not only can perform event-reasoning but also can predict, rank, and alarm threats according to uncertain information from multiple heterogeneous sources. In particular, we propose a multiattribute decision-making model, in which an object being watched is modeled as a multiattribute event, where each attribute corresponds to a specific source, and the information from each source can be used to elicit a local threat degree of different malicious situations with respect to the corresponding attribute. Moreover, to assess an overall threat degree of an object being observed, we also propose a method to fuse the conflict threat degrees regarding all the relevant attributes.

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A novel entropy proposition for spherical fuzzy sets and its application in multiple attribute decision‐making

Aydoğdu

Gül

2020

Int J Intell Syst

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Spherical aggregation operators and their application in multiattribute group decision-making

Abstract: Spherical fuzzy sets (SFSs) are a new extension of Cuong's picture fuzzy sets (PFSs). In SFSs, membership degrees satisfy the condition ≤ P x I x 0 ( ) + ( ) + 2 2

Cited by 179 publications

References 28 publications

Decision Support Algorithm for Selecting an Antivirus Mask over COVID-19 Pandemic under Spherical Normal Fuzzy Environment

Decision Support Algorithm for Selecting an Antivirus Mask over COVID-19 Pandemic under Spherical Normal Fuzzy Environment

A Dempster‐Shafer theory and uninorm‐based framework of reasoning and multiattribute decision‐making for surveillance system

A novel entropy proposition for spherical fuzzy sets and its application in multiple attribute decision‐making

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