A Software Defined Network information security risk assessment based on Pythagorean fuzzy sets

Deb, Raktim; Roy, Sudipta

doi:10.1016/j.eswa.2021.115383

Cited by 34 publications

(16 citation statements)

References 23 publications

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“…However, further research with other complex data sets and problems is required to identify potential disadvantages and shortcomings of the proposed method and to identify possible needed further directions to improve or extend this approach. The proposed approach could be applied to problems associated with determining the risk of systems prior to implementation, such as the one presented in [ 49 ].…”

Section: Discussionmentioning

confidence: 99%

“…For example, a new entropy measure using Pythagorean fuzzy sets integrated with the COPRAS method was applied to solve the problem of component supplier selection for fuel cell combined with hydrogen technology [ 3 ]. On the other hand, the Pythagorean fuzzy analytical hierarchical process (PFAHP) method, along with information entropy, has been applied to evaluate the significance of the weights of the criteria defining security in software defined network (SDN), in the SDN architecture risk assessment problem [ 49 ].…”

Section: Literature Reviewmentioning

confidence: 99%

“…For this purpose, it is necessary to select an appropriate number of well-established benchmark methods that have been used for many years in global research. In this case, the role of reference methods is fulfilled by other typologies of entropy such as intuitionistic fuzzy entropies and Pythagorean fuzzy entropies proposed and adopted in other research [ 3 , 49 ]. The analysis performed serves to validate the results and reliability of new methods.…”

Section: Comparison With Proposed Entropiesmentioning

confidence: 99%

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New Pythagorean Entropy Measure with Application in Multi-Criteria Decision Analysis

Gandotra

Kizielewicz

Anand

et al. 2021

Entropy

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The purpose of this paper is to propose a new Pythagorean fuzzy entropy for Pythagorean fuzzy sets, which is a continuation of the Pythagorean fuzzy entropy of intuitionistic sets. The Pythagorean fuzzy set continues the intuitionistic fuzzy set with the additional advantage that it is well equipped to overcome its imperfections. Its entropy determines the quantity of information in the Pythagorean fuzzy set. Thus, the proposed entropy provides a new flexible tool that is particularly useful in complex multi-criteria problems where uncertain data and inaccurate information are considered. The performance of the introduced method is illustrated in a real-life case study, including a multi-criteria company selection problem. In this example, we provide a numerical illustration to distinguish the entropy measure proposed from some existing entropies used for Pythagorean fuzzy sets and intuitionistic fuzzy sets. Statistical illustrations show that the proposed entropy measures are reliable for demonstrating the degree of fuzziness of both Pythagorean fuzzy set (PFS) and intuitionistic fuzzy sets (IFS). In addition, a multi-criteria decision-making method complex proportional assessment (COPRAS) was also proposed with weights calculated based on the proposed new entropy measure. Finally, to validate the reliability of the results obtained using the proposed entropy, a comparative analysis was performed with a set of carefully selected reference methods containing other generally used entropy measurement methods. The illustrated numerical example proves that the calculation results of the proposed new method are similar to those of several other up-to-date methods.

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Section: Discussionmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Comparison With Proposed Entropiesmentioning

confidence: 99%

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New Pythagorean Entropy Measure with Application in Multi-Criteria Decision Analysis

Gandotra

Kizielewicz

Anand

et al. 2021

Entropy

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“…Consequently, the PFSs allow better freedom to the DEs for expressing their views regarding the ambiguity of the problem. Due to its uniqueness, PFSs have been implemented in several disciplines (Abdullah and Goh, 2019 ; Deb and Roy 2021 ).…”

Section: Literature Reviewmentioning

confidence: 99%

A q-rung orthopair fuzzy ARAS method based on entropy and discrimination measures: an application of sustainable recycling partner selection

Mishra

Rani

2021

J Ambient Intell Human Comput

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“…Recently, [ 38 ] presented an “Analytic Hierarchy Process (AHP)” methodology to assess the sustainable supply chain innovation enablers on PFSs. In a study, [ 8 ] introduced a “Decision-Making Trial and Evaluation Laboratory (DEMATEL)” method on PFSs for software-defined network information security risk assessment. Later, [ 7 ] introduced a hybrid framework by combining “Stepwise Weight Assessment Ratio Analysis (SWARA)” and “Combined Compromise Solution (CoCoSo)” models with PFSs and further evaluated for the barriers of IoT implementation.…”

Section: Introductionmentioning

confidence: 99%

Interval-valued fermatean fuzzy sets with multi-criteria weighted aggregated sum product assessment-based decision analysis framework

Rani¹,

Mishra²

2022

Neural Comput & Applic

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Fermatean fuzzy set, a generalization of the fuzzy set, is a significant way to tackle the complex uncertain information that arises in decision-analysis procedure and thus can be employed on a wider range of applications. Due to the inadequacy in accessible data, it is hard for decision experts to exactly define the belongingness grade (BG) and non-belongingness grade (NG) by crisp values. In such a situation, interval BG and interval NG are good selections. Thus, the aim of the study is to develop the doctrine of interval-valued Fermatean fuzzy sets (IVFFSs) and their fundamental operations. Next, the score and accuracy functions are proposed for interval-valued Fermatean fuzzy numbers (IVFFNs). Two aggregation operators (AOs) are developed for aggregating the IVFFSs information and discussed some axioms. Further, a weighted aggregated sum product assessment method for IVFFSs using developed AOs is introduced to handle the uncertain multi-criteria decision analysis problems. A case study of e-waste recycling partner selection is also considered to elucidate the feasibility and efficacy of the introduced framework. Finally, sensitivity and comparative analyses are given to elucidate the reliability and robustness of the obtained results.

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A Software Defined Network information security risk assessment based on Pythagorean fuzzy sets

Cited by 34 publications

References 23 publications

New Pythagorean Entropy Measure with Application in Multi-Criteria Decision Analysis

New Pythagorean Entropy Measure with Application in Multi-Criteria Decision Analysis

A q-rung orthopair fuzzy ARAS method based on entropy and discrimination measures: an application of sustainable recycling partner selection

Interval-valued fermatean fuzzy sets with multi-criteria weighted aggregated sum product assessment-based decision analysis framework

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