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Generalized Grey Target Decision Method Based on Decision Makers’ Indifference Attribute Value Preferences

Received: 18 October 2017     Accepted: 31 October 2017     Published: 15 December 2017
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Abstract

In multi-attribute grey target decision making, decision makers may have indifference preferences towards some attribute values such that some superior index values are no different within a small scope or some inferior index values are indifference within a small range. So the target centre domain consisting of some superior values and the target edge domain comprising some inferior values under some attribute were proposed based on the grey target decision theory. Based on the two domains, the Hamming distance of each index value to its target centre domain can be calculated. Following this, the original Hamming distances can be normalized in a linear method individually. Then the decision can be made by the integrated target centre distances considering each attribute’s weight. A case study indicated that the generalized grey target decision method improved easily and combined with other theories can address the decision makers’ indifference attribute value preferences with its concise and simple technique compared with the conventional grey target method, which is superior in handling many feasible alternatives with little difference of superior values or inferior values.

Published in American Journal of Data Mining and Knowledge Discovery (Volume 2, Issue 4)
DOI 10.11648/j.ajdmkd.20170204.12
Page(s) 102-108
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Generalized Grey Target Decision Method, Decision Makers, Indifference Attribute Value Preferences, Target Centre Domain, Target Edge Domain

References
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[7] Song, J., et al., The Decision-making Model of Harden Grey Target Based on Interval Number with Preference Information on Alternatives. Journal of Grey System, 2009. 21(3): p. 291-300.
[8] Wang, Z. X., Y. G. Dang and H. Yang, Improvements on decision method of grey target. Systems Engineering and Electronics, 2009. 31(11): p. 2634-2636.
[9] Luo, D. and X. Wang, The multi-attribute grey target decision method for attribute value within three-parameter interval grey number. Applied Mathematical Modelling, 2012. 36(5): p. 1957-1963.
[10] Luo, D., Multi-objective grey target decision model based on positive and negative clouts. Control and Decision, 2013. 28(2): p. 241-246.
[11] Dang, Y. G., S. F. Liu and B. Liu, Study on the Multi-attribute Decision Model of Grey Target Based on Interval Number. Engineering Science, 2005. 7(8): p. 31-35.
[12] Shen, C. G., Y. G. Dang and L. L. Pei, Hybrid multi-attribute decision model of grey target. Statistics and Decision, 2010(12): p. 17-20.
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[14] Ma, J. S. and C. S. Ji, Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number. Journal of Applied Mathematics, 2014. 2014: p. 8.
[15] Ma, J. S., Grey Target Decision Method for a Variable Target Centre Based on the Decision Maker's Preferences. Journal of Applied Mathematics, 2014. 2014: p. 6.
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Cite This Article
  • APA Style

    Ma Jinshan. (2017). Generalized Grey Target Decision Method Based on Decision Makers’ Indifference Attribute Value Preferences. American Journal of Data Mining and Knowledge Discovery, 2(4), 102-108. https://doi.org/10.11648/j.ajdmkd.20170204.12

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    ACS Style

    Ma Jinshan. Generalized Grey Target Decision Method Based on Decision Makers’ Indifference Attribute Value Preferences. Am. J. Data Min. Knowl. Discov. 2017, 2(4), 102-108. doi: 10.11648/j.ajdmkd.20170204.12

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    AMA Style

    Ma Jinshan. Generalized Grey Target Decision Method Based on Decision Makers’ Indifference Attribute Value Preferences. Am J Data Min Knowl Discov. 2017;2(4):102-108. doi: 10.11648/j.ajdmkd.20170204.12

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  • @article{10.11648/j.ajdmkd.20170204.12,
      author = {Ma Jinshan},
      title = {Generalized Grey Target Decision Method Based on Decision Makers’ Indifference Attribute Value Preferences},
      journal = {American Journal of Data Mining and Knowledge Discovery},
      volume = {2},
      number = {4},
      pages = {102-108},
      doi = {10.11648/j.ajdmkd.20170204.12},
      url = {https://doi.org/10.11648/j.ajdmkd.20170204.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajdmkd.20170204.12},
      abstract = {In multi-attribute grey target decision making, decision makers may have indifference preferences towards some attribute values such that some superior index values are no different within a small scope or some inferior index values are indifference within a small range. So the target centre domain consisting of some superior values and the target edge domain comprising some inferior values under some attribute were proposed based on the grey target decision theory. Based on the two domains, the Hamming distance of each index value to its target centre domain can be calculated. Following this, the original Hamming distances can be normalized in a linear method individually. Then the decision can be made by the integrated target centre distances considering each attribute’s weight. A case study indicated that the generalized grey target decision method improved easily and combined with other theories can address the decision makers’ indifference attribute value preferences with its concise and simple technique compared with the conventional grey target method, which is superior in handling many feasible alternatives with little difference of superior values or inferior values.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Generalized Grey Target Decision Method Based on Decision Makers’ Indifference Attribute Value Preferences
    AU  - Ma Jinshan
    Y1  - 2017/12/15
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ajdmkd.20170204.12
    DO  - 10.11648/j.ajdmkd.20170204.12
    T2  - American Journal of Data Mining and Knowledge Discovery
    JF  - American Journal of Data Mining and Knowledge Discovery
    JO  - American Journal of Data Mining and Knowledge Discovery
    SP  - 102
    EP  - 108
    PB  - Science Publishing Group
    SN  - 2578-7837
    UR  - https://doi.org/10.11648/j.ajdmkd.20170204.12
    AB  - In multi-attribute grey target decision making, decision makers may have indifference preferences towards some attribute values such that some superior index values are no different within a small scope or some inferior index values are indifference within a small range. So the target centre domain consisting of some superior values and the target edge domain comprising some inferior values under some attribute were proposed based on the grey target decision theory. Based on the two domains, the Hamming distance of each index value to its target centre domain can be calculated. Following this, the original Hamming distances can be normalized in a linear method individually. Then the decision can be made by the integrated target centre distances considering each attribute’s weight. A case study indicated that the generalized grey target decision method improved easily and combined with other theories can address the decision makers’ indifference attribute value preferences with its concise and simple technique compared with the conventional grey target method, which is superior in handling many feasible alternatives with little difference of superior values or inferior values.
    VL  - 2
    IS  - 4
    ER  - 

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Author Information
  • School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo, China

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