Abstract

Inclusive growth, which encompasses different aspects of life, is a growth pattern that allows all people to participate in and contribute to growth process. In this paper, a novel hesitant fuzzy multiple attribute decision making (HFMADM) approach based on the nondimensionalization of decision making attributes is presented and then applied to the evaluation of inclusive growth in China. Firstly, a novel generalized hesitant fuzzy distance measure is proposed to calculate the difference and deviation between two hesitant fuzzy elements (hfes) without adding any values into the shorter hesitant fuzzy element. Secondly, the coefficient of variation and efficacy coefficient method are extended to accommodate hesitant fuzzy environment and then used to cope with HFMADM. In the analysis process, non-dimensional treatment for hesitant fuzzy decision data is produced. Lastly, the method proposed in this paper is applied to an example of inclusive growth evaluation problem under hesitant fuzzy environment and the case study illustrates the practicality of the proposed method. Beyond that, a comparative analysis with some other approaches is also conducted to demonstrate the superiority and feasibility of the proposed method.

Highlights

  • Decision-makers usually try to design policies, which support sustainable development (Collins et al 2017)

  • Since 2007, Asian Development Bank (ADB) and World Bank have successively put forward the concept of inclusive growth, which means that it would focus on high productivity growth that can lead to productive jobs, social inclusion that can ensure equality of opportunity, and a social safety net that can reduce Journal of Business Economics and Management, 2017, 18(4): 726–744 risk and act as a cushion for the most vulnerable groups

  • Xu and Xia (2011a) proposed some hesitant fuzzy measures and defined the similarity measure between two HFSs, and further research on the relationship between the distance, similarity measure and entropy of HFSs is conducted (Farhadinia 2013). These hesitant fuzzy distance measures cannot be calculated directly and several values need to be added into the shorter hesitant fuzzy elements (HFEs)

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Summary

Introduction

Decision-makers usually try to design policies, which support sustainable development (Collins et al 2017). Yu and Wang (2012) take the attribute weights into account and applied the proposed method to evaluate China’s inclusive growth from 1990 to 2009. Xia and Xu (2011) proposed a series of aggregation operators for hesitant fuzzy information and applied them to HFMADM problem. Xu and Xia (2011a) proposed some hesitant fuzzy measures and defined the similarity measure between two HFSs, and further research on the relationship between the distance, similarity measure and entropy of HFSs is conducted (Farhadinia 2013) These hesitant fuzzy distance measures cannot be calculated directly and several values need to be added into the shorter HFE.

Preliminaries
Hesitant fuzzy decision making method based on nondimensionalization
Problem description
Coefficient of variation method for weight determination
Hesitant fuzzy efficacy coefficient method
Novel hesitant fuzzy distance measure
Efficacy coefficient method for hesitant fuzzy decision problem
An approach to hesitant fuzzy multiple attribute decision making
Illustrative example and comparative analysis
Illustrative example
Comparative analysis
Comparative analysis with generalized hesitant weighted distance measure
Comparative analysis with hesitant fuzzy TOPSIS method
Conclusions
Full Text
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