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26.05.2018 | Methodologies and Application

Trapezoidal cubic fuzzy number Einstein hybrid weighted averaging operators and its application to decision making

verfasst von: Aliya Fahmi, Saleem Abdullah, Fazli Amin, M. Sajjad Ali Khan

Erschienen in: Soft Computing | Ausgabe 14/2019

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Abstract

In this paper, we define some Einstein operations on trapezoidal cubic fuzzy set and develop three arithmetic averaging operators, that is trapezoidal cubic fuzzy Einstein weighted averaging (TrCFEWA) operator, trapezoidal cubic fuzzy Einstein ordered weighted averaging (TrCFEOWA) operator and trapezoidal cubic fuzzy Einstein hybrid weighted averaging (TrCFEHWA) operator, for aggregating trapezoidal cubic fuzzy information. The TrCFEHWA operator generalizes both the TrCFEWA and TrCFEOWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply on the TrCFEHWA operator to multiple attribute decision making with trapezoidal cubic fuzzy information. Finally, a numerical example is providing to demonstrate the submission of the established approach.

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Titel: Trapezoidal cubic fuzzy number Einstein hybrid weighted averaging operators and its application to decision making
verfasst von: Aliya Fahmi
Saleem Abdullah
Fazli Amin
M. Sajjad Ali Khan
Publikationsdatum: 26.05.2018
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 14/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-018-3242-6

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