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Symmetry 2017, 9(11), 270; doi:10.3390/sym9110270

Multi-Attribute Decision-Making Based on Prioritized Aggregation Operator under Hesitant Intuitionistic Fuzzy Linguistic Environment

1
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China
2
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
*
Author to whom correspondence should be addressed.
Academic Editor: Hari Mohan Srivastava
Received: 26 October 2017 / Revised: 3 November 2017 / Accepted: 5 November 2017 / Published: 9 November 2017
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Abstract

A hesitant intuitionistic fuzzy linguistic set (HIFLS) that integrates both qualitative and quantitative evaluations is an extension of the linguistic set, intuitionistic fuzzy set (IFS), hesitant fuzzy set (HFS) and hesitant intuitionistic fuzzy set (HIFS). It can describe the qualitative evaluation information given by the decision-makers (DMs) and reflect their uncertainty. In this article, we defined some new operational laws and comparative method for HIFLSs. Then, based on these operations, we propose two prioritized aggregation (PA) operators for HIFLSs: prioritized weighted averaging operator for HIFLSs (HIFLPWA) and prioritized weighted geometric operator for HIFLSs (HIFLPWG). Based on these aggregation operators, an approach for multi-attribute decision-making (MADM) is developed under the environment of HIFLSs. Finally, a practical example is given to show the practicality and effectiveness of the developed approach by comparing with the other representative methods. View Full-Text
Keywords: linguistic set; hesitant intuitionistic fuzzy numbers; aggregation operators; Linguistic scale function; multi-attribute decision-making (MADM) linguistic set; hesitant intuitionistic fuzzy numbers; aggregation operators; Linguistic scale function; multi-attribute decision-making (MADM)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Liu, P.; Mahmood, T.; Khan, Q. Multi-Attribute Decision-Making Based on Prioritized Aggregation Operator under Hesitant Intuitionistic Fuzzy Linguistic Environment. Symmetry 2017, 9, 270.

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