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Research on Normal Pythagorean Neutrosophic Set Choquet Integral Operator and Its Application
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作者 Changxing Fan Jihong Chen +2 位作者 Keli Hu En Fan Xiuqing Wang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第4期477-491,共15页
We first propose the normal Pythagorean neutrosophic set(NPNS)in this paper,which synthesizes the distribution of the incompleteness,indeterminacy,and inconsistency of the Pythagorean neutrosophic set(PNS)and normal f... We first propose the normal Pythagorean neutrosophic set(NPNS)in this paper,which synthesizes the distribution of the incompleteness,indeterminacy,and inconsistency of the Pythagorean neutrosophic set(PNS)and normal fuzzy number.We also define some properties of NPNS.For solving the decision-making problem of the nonstrictly independent and interacting attributes,two kinds of NPNS Choquet integral operators are proposed.First,the NPNS Choquet integral average(NPNSCIA)operator and the NPNS Choquet integral geometric(NPNSCIG)operator are proposed.Then,their calculating formulas are derived,their properties are discussed,and an approach for solving the interacting multi-attribute decision making based on the NPNS is studied.Finally,the two kinds of operators are applied to validate the stability of the new method. 展开更多
关键词 Normal pythagorean neutrosophic set(NPNS) NPNS choquet integral average(NPNSCIA)operator NPNS choquet integral geometric(NPNSCIG)operator multi-attribute decision making(MADM)
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Diagnosis of lumbar degenerative disc disease by using L^(p)-spaces related to generalized interval-valued m-polar neutrosophic choquet integral Operator
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作者 Masooma Raza Hashmi Muhammad Riaz 《International Journal of Biomathematics》 SCIE 2021年第8期85-127,共43页
Innovative and astonishing developments in the field of spine analysis can commence with this manuscript.The lumbar disks(L1−L2 to L5−S1)are most commonly impaired by degeneration due to their long-standing degenerati... Innovative and astonishing developments in the field of spine analysis can commence with this manuscript.The lumbar disks(L1−L2 to L5−S1)are most commonly impaired by degeneration due to their long-standing degeneration and associated strain.We investigate the indications,purposes,risk factors,and therapies of lumbar degenerated disc disease(L-DDD).We assume that the degeneration of five discs creates many effects,making it difficult to differentiate between the different types of degenerated discs and their seriousness.Since the indeterminacy and falsity portions of science or clinical diagnosis are often ignored.Due to this complexity,the reliability of the patient’s progress report cannot be calculated,nor can the period of therapy be measured.The revolutionary concept of interval-valued m-polar neutrosophic Choquet integral aggregation operator(IVmPNCIAO)is proposed to eliminate these problems.We associate generalized interval-valued m-polar neutrosophic Choquet integral aggregation operator(GIVmPNCIAO)with the statistical formulation of L^(p)-spaces and use it to identify the actual kind of degenerative disc in the lumbar spine.For the classification of interval-valued m-polar neutrosophic numbers(IVMPNNs),we set the ranking index and score function.These concepts are appropriate and necessary in order to better diagnose degeneration by associating it with mathematical modeling.We construct a pre-diagnosis map based on the fuzzy interval[0,1]to classify the types of degenerative discs.We develop an algorithm by using GIVmPNCIAO based on interval-valued m-polar neutrosophic sets(IVMPNNs)to identify the degenerative disc appropriately and to choose the most exquisite treatment for the corresponding degeneration of every patient.Furthermore,we discuss the sensitivity analysis with parameter p in GIVmPNCIAO to investigate the patient’s improvement record. 展开更多
关键词 Interval-valued m-polar neutrosophic sets(IVMPNSs) interval-valued m-polar neutrosophic choquet integral aggregation operator(IVmPNCIAO) lumbar degenerative disc disease(L-DDD) DECISION-MAKING
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A Novel Green Supplier Selection Method Based on the Interval Type-2 Fuzzy Prioritized Choquet Bonferroni Means 被引量:2
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作者 Peide Liu Hui Gao 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第9期1549-1566,共18页
In view of the environment competencies,selecting the optimal green supplier is one of the crucial issues for enterprises,and multi-criteria decision-making(MCDM)methodologies can more easily solve this green supplier... In view of the environment competencies,selecting the optimal green supplier is one of the crucial issues for enterprises,and multi-criteria decision-making(MCDM)methodologies can more easily solve this green supplier selection(GSS)problem.In addition,prioritized aggregation(PA)operator can focus on the prioritization relationship over the criteria,Choquet integral(CI)operator can fully take account of the importance of criteria and the interactions among them,and Bonferroni mean(BM)operator can capture the interrelationships of criteria.However,most existing researches cannot simultaneously consider the interactions,interrelationships and prioritizations over the criteria,which are involved in the GSS process.Moreover,the interval type-2 fuzzy set(IT2FS)is a more effective tool to represent the fuzziness.Therefore,based on the advantages of PA,CI,BM and IT2FS,in this paper,the interval type-2 fuzzy prioritized Choquet normalized weighted BM operators with fuzzy measure and generalized prioritized measure are proposed,and some properties are discussed.Then,a novel MCDM approach for GSS based upon the presented operators is developed,and detailed decision steps are given.Finally,the applicability and practicability of the proposed methodology are demonstrated by its application in the shared-bike GSS and by comparisons with other methods.The advantages of the proposed method are that it can consider interactions,interrelationships and prioritizations over the criteria simultaneously. 展开更多
关键词 Bonferroni mean operator choquet integral operator Green supplier selection(GSS) interval type-2 fuzzy set(IT2FS) prioritized aggregation operator
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