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Developing environmental indices using fuzzy numbers power average (FN-PA) operator

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Abstract

Environment assessment is a complex multiple attribute decision-making problem, which is an important component of environmental management. Environmental indices (EI) are very useful for environmental decision-making by policy makers and for maintaining well-informed public. Due to the uncertainty in process of the determination of EI, it is necessary to use a mathematical operator to aggregate various non-commensurate input parameters in a reasonable manner. In this paper, a new mathematic model of environmental indices based on fuzzy numbers power average operator is proposed. Firstly, the data collected from different sources are modeled as fuzzy numbers. Secondly, a method to transform fuzzy variables into basic probability assignments is developed based on the similarity measure between generalized fuzzy numbers. Then conflict data is efficiently combined based on the power average operator. At last, a real application to determine water quality indices is used to illustrate the efficiency of the proposed method.

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Acknowledgments

The author greatly appreciate the reviews’ suggestions. The work is partially supported by National Natural Science Foundation of China (Grant No. 61174022), Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20131102130002), R&D Program of China (2012BAH07B01), National High Technology Research and Development Program of China (863 Program) (Grant No. 2013AA013801), the open funding project of State Key Laboratory of Virtual Reality Technology and Systems, Beihang University (Grant No. BUAA-VR-14KF-02).

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Authors and Affiliations

  1. School of Computer and Information Sciences, Southwest University, Chongqing, 400715, China

    Linyan Cao, Meizhu Li & Yong Deng

  2. School of Engineering, University of British Columbia Okanagan, 3333 University Way, Kelowna, BC, V1V 1V7, Canada

    Rehan Sadiq

  3. Department of Civil and Environmental Engineering, School of Engineering, Vanderbilt University, Nashville, TN, 37235, USA

    Sankaran Mahadevan & Yong Deng

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  1. Linyan Cao
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  2. Meizhu Li
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  4. Sankaran Mahadevan
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  5. Yong Deng
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Correspondence to Yong Deng.

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Cao, L., Li, M., Sadiq, R. et al. Developing environmental indices using fuzzy numbers power average (FN-PA) operator. Int J Syst Assur Eng Manag 6, 139–149 (2015). https://doi.org/10.1007/s13198-014-0257-y

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  • DOI: https://doi.org/10.1007/s13198-014-0257-y

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