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The role a fuzzy implication plays in a multi-criteria decision algorithm

Yun Shi (UGent) , Bart Van Gasse (UGent) and Etienne Kerre (UGent)
(2013) INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. 42(1). p.111-120
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Abstract
We introduce a similarity measure between fuzzy sets using a fuzzy implication. We investigate for the eight most important potential properties of fuzzy implications, which ones should be taken into consideration to measure the similarity, and thereafter choose a suitable fuzzy implication which satisfies these potential properties. Simple examples are given to illustrate the application of the chosen fuzzy implication in a partition algorithm used for multi-criteria decision making.
Keywords
fuzzy inclusion, similarity measure, multi-criteria decision making, fuzzy relation, fuzzy implication, fuzzy set

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MLA
Shi, Yun, et al. “The Role a Fuzzy Implication Plays in a Multi-Criteria Decision Algorithm.” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol. 42, no. 1, 2013, pp. 111–20, doi:10.1080/03081079.2012.710441.
APA
Shi, Y., Van Gasse, B., & Kerre, E. (2013). The role a fuzzy implication plays in a multi-criteria decision algorithm. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 42(1), 111–120. https://doi.org/10.1080/03081079.2012.710441
Chicago author-date
Shi, Yun, Bart Van Gasse, and Etienne Kerre. 2013. “The Role a Fuzzy Implication Plays in a Multi-Criteria Decision Algorithm.” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 42 (1): 111–20. https://doi.org/10.1080/03081079.2012.710441.
Chicago author-date (all authors)
Shi, Yun, Bart Van Gasse, and Etienne Kerre. 2013. “The Role a Fuzzy Implication Plays in a Multi-Criteria Decision Algorithm.” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 42 (1): 111–120. doi:10.1080/03081079.2012.710441.
Vancouver
1.
Shi Y, Van Gasse B, Kerre E. The role a fuzzy implication plays in a multi-criteria decision algorithm. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. 2013;42(1):111–20.
IEEE
[1]
Y. Shi, B. Van Gasse, and E. Kerre, “The role a fuzzy implication plays in a multi-criteria decision algorithm,” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol. 42, no. 1, pp. 111–120, 2013.
@article{3117449,
  abstract     = {{We introduce a similarity measure between fuzzy sets using a fuzzy implication. We investigate for the eight most important potential properties of fuzzy implications, which ones should be taken into consideration to measure the similarity, and thereafter choose a suitable fuzzy implication which satisfies these potential properties. Simple examples are given to illustrate the application of the chosen fuzzy implication in a partition algorithm used for multi-criteria decision making.}},
  author       = {{Shi, Yun and Van Gasse, Bart and Kerre, Etienne}},
  issn         = {{0308-1079}},
  journal      = {{INTERNATIONAL JOURNAL OF GENERAL SYSTEMS}},
  keywords     = {{fuzzy inclusion,similarity measure,multi-criteria decision making,fuzzy relation,fuzzy implication,fuzzy set}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{111--120}},
  title        = {{The role a fuzzy implication plays in a multi-criteria decision algorithm}},
  url          = {{http://doi.org/10.1080/03081079.2012.710441}},
  volume       = {{42}},
  year         = {{2013}},
}
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