TY  - EJOU
AU  - Fan, Changxing 
AU  - Chen, Jihong 
AU  - Hu, Keli 
AU  - Fan, En 
AU  - Wang, Xiuqing 

TI  - Research on Normal Pythagorean Neutrosophic Set Choquet Integral Operator and Its Application
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2022
VL  - 131
IS  - 1
SN  - 1526-1506

AB  - 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 the NPNS is studied. Finally, the two kinds of operators are applied to validate the stability of the new method.
KW  - Normal pythagorean neutrosophic set (NPNS); NPNS choquet integral average (NPNSCIA) operator; NPNS choquet integral geometric (NPNSCIG) operator; multi-attribute decision making (MADM)

DO  - 10.32604/cmes.2022.019159