Intuitionistic Fuzzy Distance Based TOPSIS Method and Application to MADM
International Journal of Fuzzy System ApplicationsPublished 1 January 2016
Jiangxia Nan, Ting Wang, Jingjing An
Citations22
SJR quartileQ3
SJR score0.21
SNIP0.34
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TL;DR
Based on this intuitionistic fuzzy IF distance measure, an extended TOPSIS is developed to solve multi-attribute decision making MADM problems with the ratings of alternatives on attributes of TIFNs.
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.
Keywords
Decision SciencesMathematicsEngineering
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