A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure

Guiwu Wei; Fuad E. Alsaadi; Tasawar Hayat; Ahmed Alsaedi

doi:10.1007/s40815-016-0177-x

A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure

Guiwu Wei
, Fuad E. Alsaadi
, Tasawar Hayat
, Ahmed Alsaedi

Sichuan Normal University
Faculty of Engineering, King Abdulaziz University
Quaid-I-Azam University
Faculty of Sciences, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

126 Scopus citations

Abstract

The aim of this paper is to develop an approach to solve the multiple criteria decision making (MCDM) problems under the hesitant fuzzy environment, in which the criteria values take the form of the hesitant fuzzy elements (HFEs) and the information about criteria weights are correlative. Based on the λ-fuzzy measure, we firstly get the weight vector of the criteria. Secondly, we propose the linear assignment method to acquire the optimal preference ranking of the alternatives according to a set of criteria-wise rankings and a set of criteria importance within the context of HFEs on the basis of the Hesitant Euclidean distance. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Original language	English
Pages (from-to)	607-614
Number of pages	8
Journal	International Journal of Fuzzy Systems
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/s40815-016-0177-x
State	Published - 1 Jun 2017
Externally published	Yes

Keywords

Hesitant Euclidean distance
Hesitant fuzzy set
Linear assignment method
Multiple criteria decision making problems

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10.1007/s40815-016-0177-x

Cite this

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title = "A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure",

abstract = "The aim of this paper is to develop an approach to solve the multiple criteria decision making (MCDM) problems under the hesitant fuzzy environment, in which the criteria values take the form of the hesitant fuzzy elements (HFEs) and the information about criteria weights are correlative. Based on the λ-fuzzy measure, we firstly get the weight vector of the criteria. Secondly, we propose the linear assignment method to acquire the optimal preference ranking of the alternatives according to a set of criteria-wise rankings and a set of criteria importance within the context of HFEs on the basis of the Hesitant Euclidean distance. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.",

keywords = "Hesitant Euclidean distance, Hesitant fuzzy set, Linear assignment method, Multiple criteria decision making problems",

author = "Guiwu Wei and Alsaadi, \{Fuad E.\} and Tasawar Hayat and Ahmed Alsaedi",

note = "Publisher Copyright: {\textcopyright} 2016, Taiwan Fuzzy Systems Association and Springer-Verlag Berlin Heidelberg.",

year = "2017",

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doi = "10.1007/s40815-016-0177-x",

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T1 - A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure

AU - Wei, Guiwu

AU - Alsaadi, Fuad E.

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2017/6/1

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N2 - The aim of this paper is to develop an approach to solve the multiple criteria decision making (MCDM) problems under the hesitant fuzzy environment, in which the criteria values take the form of the hesitant fuzzy elements (HFEs) and the information about criteria weights are correlative. Based on the λ-fuzzy measure, we firstly get the weight vector of the criteria. Secondly, we propose the linear assignment method to acquire the optimal preference ranking of the alternatives according to a set of criteria-wise rankings and a set of criteria importance within the context of HFEs on the basis of the Hesitant Euclidean distance. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.

AB - The aim of this paper is to develop an approach to solve the multiple criteria decision making (MCDM) problems under the hesitant fuzzy environment, in which the criteria values take the form of the hesitant fuzzy elements (HFEs) and the information about criteria weights are correlative. Based on the λ-fuzzy measure, we firstly get the weight vector of the criteria. Secondly, we propose the linear assignment method to acquire the optimal preference ranking of the alternatives according to a set of criteria-wise rankings and a set of criteria importance within the context of HFEs on the basis of the Hesitant Euclidean distance. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.

KW - Hesitant Euclidean distance

KW - Hesitant fuzzy set

KW - Linear assignment method

KW - Multiple criteria decision making problems

UR - https://www.scopus.com/pages/publications/85018418948

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DO - 10.1007/s40815-016-0177-x

M3 - Article

AN - SCOPUS:85018418948

SN - 1562-2479

VL - 19

SP - 607

EP - 614

JO - International Journal of Fuzzy Systems

JF - International Journal of Fuzzy Systems

IS - 3

ER -

A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure

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Keywords

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