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Fuzzy Optimization and Decision Making
Erschienen in: Fuzzy Optimization and Decision Making 2/2017

19.05.2016

Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making

verfasst von: Xunjie Gou, Zeshui Xu

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 2/2017

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Abstract

Intuitionistic fuzzy numbers (IFNs) have already been applied to many fields, especially in multi-attribute decision making (MADM). Based on the basic operational laws and information aggregation methods of IFNs, MADM with intuitionistic fuzzy information has become more and more popular. In this paper, we investigate the MADM problems where the attribute values take the form of interval numbers and the weight information on the attributes are expressed as IFNs. We first propose a novel exponential operational law based on IFNs and interval numbers, and then study some of its desirable properties. Based on the exponential operational law, we put forward an intuitionistic fuzzy weighted exponential aggregation operator, and utilize it to develop a MADM method. Finally, we apply our method to solve the decision making problem under uncertainty.
Vorheriger Artikel Order statistics of uncertain random variables with application to k-out-of-n system
Nächster Artikel On the convergence of uncertain random sequences

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Metadaten
Titel
Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making
verfasst von
Xunjie Gou
Zeshui Xu
Publikationsdatum
19.05.2016
Verlag
Springer US
Erschienen in
Fuzzy Optimization and Decision Making / Ausgabe 2/2017
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI
https://doi.org/10.1007/s10700-016-9243-y

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