文献类型：期刊文献

英文题名：Research on Normal Pythagorean Neutrosophic Set Choquet Integral Operator and Its Application

作者：Fan, Changxing[1];Chen, Jihong[2];Hu, Keli[1,3];Fan, En[1];Wang, Xiuqing[1]

机构：[1]Shaoxing Univ, Dept Comp Sci, Shaoxing, Peoples R China;[2]Shenzhen Univ, Coll Management, Shenzhen, Peoples R China;[3]Peking Univ, Informat Technol R&D Innovat Ctr, Shaoxing, Peoples R China

年份：2022

卷号：131

期号：1

起止页码：477

外文期刊名：CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES

收录：SCI-EXPANDED(收录号：WOS:000747802600027)、、EI(收录号：20220711626568)、Scopus(收录号：2-s2.0-85124285360)、WOS

基金：This research was funded by the National Natural Science Foundation of China, Grant No. 61703280; Zhejiang Provincial Natural Science Foundation of China, Grant No. LY20F020011; Social Sciences and Humanities Youth Foundation of Ministry of Education, Grant No. 21YJCZH039; Natural Science Foundation of Zhejiang Province, Grant No. TY22F025548; the Public Welfare Technology Research Project of Zhejiang Province, Grant No. GG22F015473 and Key scientific research project of Shaoxing University, Grant No. 2020LG1004.

语种：英文

外文关键词：Normal pythagorean neutrosophic set (NPNS); NPNS choquet integral average (NPNSCIA) operator; NPNS choquet integral geometric (NPNSCIG) operator; multi-attribute decision making (MADM)

外文摘要：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.