Trapezoidal neutrosophic aggregation operators and their application to the multi-attribute decision-making process

The aim of this paper is to introduce an interval trapezoidal neutrosophic set, which is a combination of trapezoidal fuzzy numbers, and an interval neutrosophic set. This paper presents some operational rules and the score and accuracy functions of interval trapezoidal neutrosophic numbers. Then, s...

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Published inScientia Iranica. Transaction E, Industrial engineering Vol. 27; no. 3; pp. 1655 - 1673
Main Authors Jana, C, Pal, M, Karaaslan, F, Wang, J Q
Format Journal Article
LanguageEnglish
Published Tehran Sharif University of Technology 01.05.2020
Subjects
Accuracy
Agglomeration
Decision making
Engineering
Fuzzy sets
Linguistics
Mathematical analysis
Mathematics
Operators (mathematics)
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Abstract The aim of this paper is to introduce an interval trapezoidal neutrosophic set, which is a combination of trapezoidal fuzzy numbers, and an interval neutrosophic set. This paper presents some operational rules and the score and accuracy functions of interval trapezoidal neutrosophic numbers. Then, some aggregation operators based on interval trapezoidal neutrosophic information are proposed: the Interval Trapezoidal Neutrosophic Number Weighted Arithmetic Averaging (ITNNWAA) operator and the Interval Trapezoidal Neutrosophic Number Weighted Geometric Averaging (ITNNWGA) operator; in addition, the properties of these operators are investigated in detail. Furthermore, a multi-attribute decision-making method is developed based on the operators. Finally, a numerical example is presented to illustrate the applicability and effectiveness of the proposed method.
AbstractList The aim of this paper is to introduce an interval trapezoidal neutrosophic set, which is a combination of trapezoidal fuzzy numbers, and an interval neutrosophic set. This paper presents some operational rules and the score and accuracy functions of interval trapezoidal neutrosophic numbers. Then, some aggregation operators based on interval trapezoidal neutrosophic information are proposed: the Interval Trapezoidal Neutrosophic Number Weighted Arithmetic Averaging (ITNNWAA) operator and the Interval Trapezoidal Neutrosophic Number Weighted Geometric Averaging (ITNNWGA) operator; in addition, the properties of these operators are investigated in detail. Furthermore, a multi-attribute decision-making method is developed based on the operators. Finally, a numerical example is presented to illustrate the applicability and effectiveness of the proposed method.
Author Karaaslan, F
Pal, M
Jana, C
Wang, J Q
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StartPage 1655
SubjectTerms Accuracy
Agglomeration
Decision making
Engineering
Fuzzy sets
Linguistics
Mathematical analysis
Mathematics
Operators (mathematics)
Title Trapezoidal neutrosophic aggregation operators and their application to the multi-attribute decision-making process
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