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International Journal of Machine Learning and Cybernetics
Erschienen in: International Journal of Machine Learning and Cybernetics 2/2017

01.04.2015 | Original Article

Some intuitionistic trapezoidal fuzzy aggregation operators based on Einstein operations and their application in multiple attribute group decision making

verfasst von: Shuping Zhao, Changyong Liang, Junling Zhang

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 2/2017

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Abstract

Information aggregation is a key problem in decision making. The aim of this paper is to investigate information aggregation methods under intuitionistic trapezoidal fuzzy environment. Some Einstein operational laws on intuitionistic trapezoidal fuzzy numbers are defined based on Einstein sum and Einstein product. Then, some intuitionistic trapezoidal fuzzy aggregation operators based on Einstein operations are proposed, such as intuitionistic trapezoidal fuzzy Einstein weighted averaging operator, intuitionistic trapezoidal fuzzy Einstein ordered weighted averaging operator, induced-intuitionistic trapezoidal fuzzy Einstein ordered weighted averaging operator, intuitionistic trapezoidal fuzzy Einstein hybrid averaging operator, intuitionistic trapezoidal fuzzy Einstein weighted geometric operator, intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric operator, induced intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric operator and intuitionistic trapezoidal fuzzy Einstein hybrid geometric operator. Furthermore, we apply the proposed aggregation operators to deal with multiple attribute group decision making in which decision information takes the form of intuitionistic trapezoidal fuzzy numbers. Finally, an illustrative example is given to demonstrate its practicality and effectiveness.
Vorheriger Artikel On the structure of metric spaces related to pre-rough logic
Nächster Artikel Sequential conditional entropy maximization semi-supervised hashing for semantic image retrieval

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Metadaten
Titel
Some intuitionistic trapezoidal fuzzy aggregation operators based on Einstein operations and their application in multiple attribute group decision making
verfasst von
Shuping Zhao
Changyong Liang
Junling Zhang
Publikationsdatum
01.04.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 2/2017
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-015-0349-2

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