Jiangxia Nan’s research while affiliated with Guilin University of Electronic Technology and other places

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Publications (1)

Extensions of the TOPSIS for Multiattribute Decision Making under Intuitionistic Fuzzy Environment
  • Article

March 2014

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18 Reads

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5 Citations

Journal of Information and Computational Science

Jiangxia Nan

In this paper TOPSIS is extended to develop one new methodology for solving Multiattribute Decision Making (MADM) problems in Intuitionistic Fuzzy (IF) setting. In this methodology, the ratings of alternatives on attributes are described using Triangular Intuitionistic Fuzzy Numbers (TIFNs) and attribute weights which are linguistic variables expressed in IF sets (IF-sets). According to the ranking order relation of IF-sets, the attribute weights are obtained. A new distance measure of two TIFNs is developed to calculate differences between each alternative and the positive ideal-solution as well as the negative ideal-solution. Based on these distances, the relative closeness degrees to the positive ideal-solution are calculated and the ranking order of all alternatives is generated. A numerical example is examined to show that the method proposed in this paper is effective and practical.

Citations (1)

... In many of the proposed methods for solving MADM problems, alternatives evaluation against to all criteria is the first step (Tzeng and Huang 2011;Zhang et al. 2020). Due to the fact that subjective judgments and evaluations always have some degrees of uncertainty, the development of these methods in inac-curate environments was considered by researchers, which led to the introduction of fuzzy-based methods (for different types of fuzzy sets) (Palczewski and Sałabun 2019;Nan and Zhang 2014;Xu and Zhang 2012;Sun and Ouyang 2015;Aggrawal 2021;Atef et al. 2021;Al-shami 2021). Therefore, the analytical hierarchy process (AHP) method, the analytical network process (ANP) method, TOP-SIS method, Choquet integral (CI) method, viekriterijumsko kompromisno rangiranje (VIKOR) method, simple additive weighting (SAW) method, elimination and choice expressing reality (ELECTERE) method, etc. (Tzeng and Huang 2011) have been updated to be applied with the various uncertainty theories. ...

Reference:

Generalized hesitant fuzzy numbers and their application in solving MADM problems based on TOPSIS method
Extensions of the TOPSIS for Multiattribute Decision Making under Intuitionistic Fuzzy Environment
  • Citing Article

  • March 2014

Journal of Information and Computational Science

Jiangxia Nan