2015
DOI: 10.15611/ie.2015.1.02
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The fuzzy TOPSIS method and its implementation in the R programme

Abstract: The TOPSIS method (Technique for Order Preference by Similarity Ideal Solution) suggested by Hwang and Yoon [1981], belongs to the group of pattern linear ordering methods of multidimensional objects. A characteristic feature of this method is a way to evaluate a synthetic criterion's values, which takes into consideration the distance of an evaluated object from a positive-ideal solution as well as from a negative-ideal solution. The fuzzy TOPSIS method enables the linear ordering of objects described through… Show more

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Cited by 6 publications
(8 citation statements)
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“…Then, it was expanded into the fuzzy TOPSIS by Chen [10] using triangular fuzzy numbers in <Figure 1>. The theoretical background on fuzzy TOPSIS is well summarized in [11], [12], and so on. A brief summary of the fuzzy TOPSIS-based is laid out below First, <Figure 2> presents the hierarchy of this study's decision-making problem.…”
Section: Theoretical Reflection On the Methodology Of Fuzzy Topsismentioning
confidence: 99%
“…Then, it was expanded into the fuzzy TOPSIS by Chen [10] using triangular fuzzy numbers in <Figure 1>. The theoretical background on fuzzy TOPSIS is well summarized in [11], [12], and so on. A brief summary of the fuzzy TOPSIS-based is laid out below First, <Figure 2> presents the hierarchy of this study's decision-making problem.…”
Section: Theoretical Reflection On the Methodology Of Fuzzy Topsismentioning
confidence: 99%
“…The TOPSIS method suggested by Hwang and Yoon (1981), belongs to the group of pattern linear ordering methods of multi-dimensional objects. Broadly speaking, the ordering of objects from the best one to the worst one considering an assumed synthetic measure, which is not subjected to a direct measurement, belongs to the task of linear ordering (Dudek and Jefmański, 2015). A characteristic feature of TOPSIS is a way to evaluate a synthetic criterion’s values, which takes into consideration the distance of an evaluated object from a positive-ideal solution as well as from a negative-ideal solution.…”
Section: Methodsmentioning
confidence: 99%
“…In this research, for the sake of simplicity, the same system of weights has been assumed for all variables, therefore the parameters’ values of fuzzy numbers representing weights are the same and come to 1. Besides, R codes provided in Dudek and Jefmański (2015) were used in this research for computation of the fuzzy TOPSIS scores.…”
Section: Methodsmentioning
confidence: 99%
“…At the same time, many socio-economic phenomena are complex, which makes it impossible to describe them in one variable. Evaluation of objects in terms of such phenomena is possible by constructing a synthetic variable that aggregates fragmentary information included in specific criteria, which, in turn, are evaluated linguistically [17]. Statistical analysis, in this case, is impossible without prior work on the transformation of linguistic variables into numerical form (for example, using triangular fuzzy numbers).…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%