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Trapezoidal neutrosophic set and its application to multiple attribute decision-making  ( SCI-EXPANDED收录 EI收录)   被引量:125

文献类型:期刊文献

英文题名:Trapezoidal neutrosophic set and its application to multiple attribute decision-making

作者:Ye, Jun[1]

机构:[1]Shaoxing Univ, Dept Elect & Informat Engn, Shaoxing 312000, Zhejiang, Peoples R China

年份:2015

卷号:26

期号:5

起止页码:1157

外文期刊名:NEURAL COMPUTING & APPLICATIONS

收录:SCI-EXPANDED(收录号:WOS:000355765200012)、、EI(收录号:20150100392738)、Scopus(收录号:2-s2.0-84930475505)、WOS

基金:This paper was supported by the National Natural Science Foundation of China (No. 71471172).

语种:英文

外文关键词:Trapezoidal neutrosophic set; Score function; Accuracy function; Trapezoidal neutrosophic number weighted arithmetic averaging (TNNWAA) operator; Trapezoidal neutrosophic number weighted geometric averaging (TNNWGA) operator; Multiple attribute decision-making

外文摘要:Based on the combination of trapezoidal fuzzy numbers and a single-valued neutrosophic set, this paper proposes a trapezoidal neutrosophic set, some operational rules, score and accuracy functions for trapezoidal neutrosophic numbers. Then, a trapezoidal neutrosophic number weighted arithmetic averaging (TNNWAA) operator and a trapezoidal neutrosophic number weighted geometric averaging (TNNWGA) operator are proposed to aggregate the trapezoidal neutrosophic information, and their properties are investigated. Furthermore, a multiple attribute decision-making method based on the TNNWAA and TNNWGA operators and the score and accuracy functions of a trapezoidal neutrosophic number is established to deal with the multiple attribute decision-making problems in which the evaluation values of alternatives on the attributes are represented by the form of trapezoidal neutrosophic numbers. Finally, an illustrative example about software selection is given to demonstrate the application and effectiveness of the developed method.

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