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    ARTICLE

    Research on Normal Pythagorean Neutrosophic Set Choquet Integral Operator and Its Application

    Changxing Fan1, Jihong Chen2,*, Keli Hu1,3, En Fan1, Xiuqing Wang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.1, pp. 477-491, 2022, DOI:10.32604/cmes.2022.019159

    Abstract 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 non-strictly 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… More >

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