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Extended TODIM method for hybrid multiple attribute decision making problems

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2013

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Fan, Zhi-Ping
Zhang, Xiao
Liu, Yang

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Knowledge-Based Systems. 2013, 42, pp. 40-48. ISSN 0950-7051. eISSN 1872-7409. Available under: doi: 10.1016/j.knosys.2012.12.014

Zusammenfassung

TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) is a method for solving the multiple attribute decision making (MADM) problem considering decision maker’s (DM’s) behavior, in which the attribute values are in the format of crisp numbers. It cannot be used to handle hybrid MADM problems with various formats of attribute values. In this paper, an extended TODIM method is proposed to solve the hybrid MADM problem. First, three formats of attribute values (crisp numbers, interval numbers and fuzzy numbers) are expressed in the format of random variables with cumulative distribution functions. Then, according to the concept of the classical TODIM method, the gain and loss matrices concerning each attribute are constructed by calculating the gain and loss of each alternative relative to the others. Further, by calculating the dominance degree of each alternative over the others, the overall value of each alternative can be obtained to rank the alternatives. Finally, two numerical examples are used to illustrate the use of the proposed method.

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ISO 690FAN, Zhi-Ping, Xiao ZHANG, Fadong CHEN, Yang LIU, 2013. Extended TODIM method for hybrid multiple attribute decision making problems. In: Knowledge-Based Systems. 2013, 42, pp. 40-48. ISSN 0950-7051. eISSN 1872-7409. Available under: doi: 10.1016/j.knosys.2012.12.014
BibTex
@article{Fan2013-04Exten-42204,
  year={2013},
  doi={10.1016/j.knosys.2012.12.014},
  title={Extended TODIM method for hybrid multiple attribute decision making problems},
  volume={42},
  issn={0950-7051},
  journal={Knowledge-Based Systems},
  pages={40--48},
  author={Fan, Zhi-Ping and Zhang, Xiao and Chen, Fadong and Liu, Yang}
}
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