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International Journal for Uncertainty Quantification
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ISSN Imprimer: 2152-5080
ISSN En ligne: 2152-5099

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International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018020979
pages 267-289

HESITANT PYTHAGOREAN FUZZY SETS AND THEIR AGGREGATION OPERATORS IN MULTIPLE ATTRIBUTE DECISION-MAKING

Harish Garg
School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University) Patiala 147004, Punjab, India

RÉSUMÉ

In this article, a new concept of the hesitant Pythagorean fuzzy sets has been presented by combining the concept of the Pythagorean as well as the Hesitant fuzzy sets. Some of the basic operations laws and their properties have been investigated. Further, we have developed some new weighted averaging and geometric aggregation operators named as hesitant Pythagorean fuzzy weighted average and geometric, ordered weighted average and geometric, hybrid average and geometric with hesitant Pythagorean fuzzy information. The properties of these aggregation operators are investigated. The proposed set is the generalization of the sets of fuzzy, intuitionistic fuzzy, hesitant fuzzy, and Pythagorean fuzzy. Additionally, a multiple-attribute decision-making approach is established based on these operators under hesitant Pythagorean fuzzy environment and an example is given to illustrate the application of it. Finally, we compare the results with the existing methods to show the effectiveness of it.


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