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Multi-attributed decision making for mining methods based on grey system and interval numbers

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Abstract

In the case of unknown weights, theories of multi-attributed decision making based on interval numbers and grey related analysis were used to optimize mining methods. As the representative of independence for the indicator, the smaller the correlation of indicators is, the greater the weight is. Hence, the weights of interval numbers of indicators were determined by using correlation coefficient. Relative closeness based on positive and negative ideal methods was calculated by introducing distance between interval numbers, which made decision making more rational and comprehensive. A new method of ranking interval numbers based on normal distribution was proposed for the optimization of mining methods, whose basic properties were discussed. Finally, the feasibility and effectiveness of this method were verified by theories and practice.

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References

  1. XU Xiao-he, LIAO Guo-hua, MA Guang. Mining manual: Vol. 2 [M]. Beijing: Metallurgical Industry Press, 1990: 27–49. (in Chinese)

    Google Scholar 

  2. YAN Shu-li, YANG Wan-cai, XIAO Xin-ping. Attribute weight unknown hybrid multi-attribute decision making methods [J]. Statistics and Decision, 2008(1): 16–18.

    Google Scholar 

  3. LIU Pei-de, GUAN Zhong-liang. Research on multiple attribute decision-making under risk with continuous random variable and weight unknown [J]. Systems Engineering and Electronics, 2009, 31(9): 2133–2136.

    MATH  Google Scholar 

  4. RAO Cong-jun, XIAO Xin-ping. Method of grey matrix relative degree for dynamic hybrid multi-attribute decision making under risk [J]. Systems Engineering and Electronics, 2006, 28(9): 1353–1357

    MATH  Google Scholar 

  5. WANG Xin-min, ZHAO Bin, ZHANG Qin-li. Mining method choice based on AHP and fuzzy mathematics [J]. Journal of Central South University: Science and Technology, 2008, 39(5): 875–880. (in Chinese)

    MathSciNet  Google Scholar 

  6. PARK Dong-gun, KWUN Young-chel, PARK Jin-jan, PARK Ii-young. Correlation coefficient of interval-valued intuitionist fuzzy sets and its application to multiple attribute group decision making problems [J]. Mathematical and Computer Modeling, 2009, 50(9/10): 1279–1293.

    Article  MathSciNet  MATH  Google Scholar 

  7. OLSON D L, ZHANG Ji-jun, WU De-sheng. The method of grey related analysis to multiple attribute decision making problems with interval numbers [J]. Mathematical and Computer Modeling, 2005, 42(9/10): 991–998.

    MathSciNet  MATH  Google Scholar 

  8. XU Ze-shui, DA Qing-li. Research on method for ranking interval numbers [J]. Systems Engineering, 2001, 19(6): 94–96.

    MathSciNet  Google Scholar 

  9. XU Ze-shui, DA Qing-li. Possibility degree method for ranking interval numbers and its application [J]. Journal of Systems Engineering, 2003, 18(1): 67–70.

    Google Scholar 

  10. WAN Shu-ping. Interval multi-attribute decision-making method based on index of attitude [J]. Systems Engineering, 2008, 26(8): 108–112.

    Google Scholar 

  11. HAN Yu-jian, CHEN Jian-hong, ZHOU Zhi-yong. Fuzzy assessment method of interval number for gas explosion in coal mines based on index of attitude [J]. China Safety Science Journal, 2010, 20(2): 83–88.

    Google Scholar 

  12. PENG Zhi-qi. Application of uncertain multi-attribute decision-making in optimizations of mining methods [J]. Mining and Metallurgical Engineering, 2003, 23(6): 14–16.

    Google Scholar 

  13. XIA Yong-qi, WU Qi-zong. A technique of order preference by similarity to ideal solution for hybrid multiple attribute decision making problems [J]. Journal of Systems Engineering, 2004, 19(6): 630–634.

    Google Scholar 

  14. WEI Gui-wu. Grey relational analysis method for multiple attribute decision making with incomplete attribute weights [J]. Mathematics in Practice and Theory, 2007, 37(19): 94–98.

    Google Scholar 

  15. WEI Gui-wu. New method of grey relational analysis to multiple attribute decision making with interval number [J]. Systems Engineering and Electronics, 2006, 28(9): 1358–1359.

    Google Scholar 

  16. ZHANG Ji-jun. Method of grey related analysis to multiple attribute decision making problems with interval numbers [J]. Systems Engineering and Electronics, 2005, 27(6): 1030–1033.

    Google Scholar 

  17. HAN Xu-li. Mathematics tutorial [M]. Beijing: Science Press, 2004: 112–135. (in Chinese)

    Google Scholar 

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Authors and Affiliations

  1. School of Resources and Safety Engineering, Central South University, Changsha, 410083, China

    Lang Liu  (刘浪), Jian-hong Chen  (陈建宏), Ge-ming Wang  (王革民) & De-zheng Lao  (劳德正)

Authors
  1. Lang Liu  (刘浪)
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  2. Jian-hong Chen  (陈建宏)
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  3. Ge-ming Wang  (王革民)
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  4. De-zheng Lao  (劳德正)
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Corresponding author

Correspondence to Lang Liu  (刘浪).

Additional information

Foundation item: Project(50774095) supported by the National Natural Science Foundation of China; Project(200449) supported by the National Outstanding Doctoral Dissertations Special Funds of China

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Liu, L., Chen, Jh., Wang, Gm. et al. Multi-attributed decision making for mining methods based on grey system and interval numbers. J. Cent. South Univ. 20, 1029–1033 (2013). https://doi.org/10.1007/s11771-013-1580-1

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  • DOI: https://doi.org/10.1007/s11771-013-1580-1

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