Atanassov's Interval-Valued Intuitionistic Linguistic Multicriteria Group Decision-Making Method Based on the Trapezium Cloud Model

The cloud model, which can implement uncertain transformation between a qualitative concept and its quantitative instantiations, has attracted great attention in multicriteria decision-making problems with linguistic information. This paper proposes some operations and a possibility degree of trapez...

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Published inIEEE transactions on fuzzy systems Vol. 23; no. 3; pp. 542 - 554
Main Authors Wang, Jian-Qiang, Wang, Pei, Wang, Jing, Zhang, Hong-Yu, Chen, Xiao-Hong
Format Journal Article
LanguageEnglish
Published IEEE 01.06.2015
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Abstract The cloud model, which can implement uncertain transformation between a qualitative concept and its quantitative instantiations, has attracted great attention in multicriteria decision-making problems with linguistic information. This paper proposes some operations and a possibility degree of trapezium clouds, as well as several new aggregation operators: the trapezium cloud weighted arithmetic averaging operator, the trapezium cloud ordered weighted arithmetic averaging operator, and the trapezium cloud hybrid arithmetic operator. Moreover, a method with Atanassov's interval-valued intuitionistic linguistic numbers (AIVILNs) based on trapezium clouds is presented, which can provide solutions to multicriteria group decision-making problems with Atanassov's interval-valued intuitionistic linguistic information. In this method, AIVILNs are first converted into trapezium clouds and aggregated by trapezium cloud aggregation operators. Then, the ranking of alternatives is determined by the possibility degree matrix of trapezium clouds. Finally, an illustrative example confirming the validity and feasibility of the proposed method is given.
AbstractList The cloud model, which can implement uncertain transformation between a qualitative concept and its quantitative instantiations, has attracted great attention in multicriteria decision-making problems with linguistic information. This paper proposes some operations and a possibility degree of trapezium clouds, as well as several new aggregation operators: the trapezium cloud weighted arithmetic averaging operator, the trapezium cloud ordered weighted arithmetic averaging operator, and the trapezium cloud hybrid arithmetic operator. Moreover, a method with Atanassov's interval-valued intuitionistic linguistic numbers (AIVILNs) based on trapezium clouds is presented, which can provide solutions to multicriteria group decision-making problems with Atanassov's interval-valued intuitionistic linguistic information. In this method, AIVILNs are first converted into trapezium clouds and aggregated by trapezium cloud aggregation operators. Then, the ranking of alternatives is determined by the possibility degree matrix of trapezium clouds. Finally, an illustrative example confirming the validity and feasibility of the proposed method is given.
Author Xiao-Hong Chen
Pei Wang
Jing Wang
Jian-Qiang Wang
Hong-Yu Zhang
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Keywords group decision making
Atanassov's interval-valued intuitionistic linguistic number (AIVILN)
possibility degree
Aggregation operator
trapezium cloud
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Snippet The cloud model, which can implement uncertain transformation between a qualitative concept and its quantitative instantiations, has attracted great attention...
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StartPage 542
SubjectTerms Computational modeling
Decision making
Entropy
Fuzzy sets
Numerical models
Pragmatics
Uncertainty
Title Atanassov's Interval-Valued Intuitionistic Linguistic Multicriteria Group Decision-Making Method Based on the Trapezium Cloud Model
URI https://ieeexplore.ieee.org/document/6798659
Volume 23
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