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Neural Computing and Applications
Published in: Neural Computing and Applications 6/2014

01-11-2014 | Original Article

Prioritized aggregation operators of trapezoidal intuitionistic fuzzy sets and their application to multicriteria decision-making

Author: Jun Ye

Published in: Neural Computing and Applications | Issue 6/2014

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Abstract

A trapezoidal intuitionistic fuzzy set, some operational laws, score and accuracy functions for trapezoidal intuitionistic fuzzy values are presented in this paper. Then, the trapezoidal intuitionistic fuzzy prioritized weighted averaging (TIFPWA) operator and trapezoidal intuitionistic fuzzy prioritized weighted geometric (TIFPWG) operator are proposed to aggregate the trapezoidal intuitionistic fuzzy information. Furthermore, a multicriteria decision-making method based on the TIFPWA and TIFPWG operators and the score and accuracy functions of trapezoidal intuitionistic fuzzy values is established to deal with the multicriteria decision-making problem in which the criteria are in different priority level. Finally, a practical example about software selection for considering various prioritized relationships between the criteria of decision-making is given to demonstrate its practicality and effectiveness.
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Literature
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Liu F, Yuan XH (2007) Fuzzy number intuitionistic fuzzy set. Fuzzy Syst Math 21(1):88–91MathSciNet
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Wang XF (2008) Fuzzy number intuitionistic fuzzy geometric aggregation operators and their application to decision making. Control Decis 23(6):607–612MathSciNetMATH
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Wang XF (2008) Fuzzy number intuitionistic fuzzy arithmetic aggregation operators. Int J Fuzzy Syst 10(2):104–111MathSciNet
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Wei GW, Zhao XF, Lin R (2010) Some induced aggregating operators with fuzzy number intuitionistic fuzzy information and their applications to group decision making. Int J Comput Intell Syst 3(1):84–95
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Qiu JX (2011) Evaluating model of mechanical automation with fuzzy number intuitionistic fuzzy information. Int J Adv Comput Technol 3(6):42–47
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Metadata
Title
Prioritized aggregation operators of trapezoidal intuitionistic fuzzy sets and their application to multicriteria decision-making
Author
Jun Ye
Publication date
01-11-2014
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 6/2014
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1635-8

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