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Intuitionistic Fuzzy Distance Based TOPSIS Method and Application to MADM

Intuitionistic Fuzzy Distance Based TOPSIS Method and Application to MADM

Jiangxia Nan, Ting Wang, Jingjing An
Copyright: © 2016 |Volume: 5 |Issue: 1 |Pages: 14
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781466693203|DOI: 10.4018/IJFSA.2016010103
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MLA

Nan, Jiangxia, et al. "Intuitionistic Fuzzy Distance Based TOPSIS Method and Application to MADM." IJFSA vol.5, no.1 2016: pp.43-56. http://doi.org/10.4018/IJFSA.2016010103

APA

Nan, J., Wang, T., & An, J. (2016). Intuitionistic Fuzzy Distance Based TOPSIS Method and Application to MADM. International Journal of Fuzzy System Applications (IJFSA), 5(1), 43-56. http://doi.org/10.4018/IJFSA.2016010103

Chicago

Nan, Jiangxia, Ting Wang, and Jingjing An. "Intuitionistic Fuzzy Distance Based TOPSIS Method and Application to MADM," International Journal of Fuzzy System Applications (IJFSA) 5, no.1: 43-56. http://doi.org/10.4018/IJFSA.2016010103

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Abstract

In this paper, an intuitionistic fuzzy (IF) distance measure between two triangular intuitionistic fuzzy numbers (TIFNs) is developed. The metric properties of the proposed IF distance measure are also studied. Then, based on this IF distance, an extended TOPSIS is developed to solve multi-attribute decision making (MADM) problems with the ratings of alternatives on attributes of TIFNs. In this methodology, the IF distances between each alternative and the TIFN positive ideal-solution are calculated as well as the TIFN negative ideal-solution. Then the relative closeness degrees obtained of each alternative to the TIFN positive ideal solution are TIFNs. Based on the ranking methods of TIFNs the alternatives are ranked. A numerical example is examined to the validity and practicability of the method proposed in this paper.

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