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Granular Computing
Published in: Granular Computing 2/2018

16-11-2017 | Original Paper

Several hybrid aggregation operators for triangular intuitionistic fuzzy set and their application in multi-criteria decision making

Authors: Tahir Mahmood, Peide Liu, Jun Ye, Qaisar Khan

Published in: Granular Computing | Issue 2/2018

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Abstract

In this paper, on the basis of analyzing some existing limitations in the operational laws defined for triangular intuitionistic fuzzy numbers (TIFNs), we first proposed some improved operational laws for TIFNs. Then, based on new operational laws, we developed some aggregation operators for TIFNs, such as triangular intuitionistic fuzzy-weighted averaging operator, triangular intuitionistic fuzzy geometric operator, triangular intuitionistic fuzzy-ordered-weighted averaging operator, triangular intuitionistic fuzzy-ordered-weighted geometric operator, triangular intuitionistic fuzzy hybrid averaging operator, and triangular intuitionistic fuzzy hybrid geometric operators, and discussed some desirable properties of these operators. Furthermore, based on these aggregation operators, we developed a multi-criteria decision-making (MCDM) method in which the criteria values were represented by TIFNs. Finally, a numerical example was used to show the practicality and effectiveness of the proposed MCDM method by comparing the proposed method with the existing methods.
previous article Trapezium cloud TOPSIS method with interval-valued intuitionistic hesitant fuzzy linguistic information
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Metadata
Title
Several hybrid aggregation operators for triangular intuitionistic fuzzy set and their application in multi-criteria decision making
Authors
Tahir Mahmood
Peide Liu
Jun Ye
Qaisar Khan
Publication date
16-11-2017
Publisher
Springer International Publishing
Published in
Granular Computing / Issue 2/2018
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-017-0061-6

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