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

Ma Jinshan

doi:doi:10.11648/j.ajdmkd.20170204.12

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

Ma Jinshan

Published in American Journal of Data Mining and Knowledge Discovery (Volume 2, Issue 4)

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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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

Ma Jinshan

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

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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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download