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A general fuzzy TOPSIS model in multiple criteria decision making

Mahdavi, I ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1007/s00170-009-1971-5
  3. Publisher: 2009
  4. Abstract:
  5. Decision making is the process of finding the best option among the feasible alternatives. In classical multiple criteria decision-making (MCDM) methods, the ratings and the weights of the criteria are known precisely. Owning to vagueness of the decision data, the crisp data are inadequate for real-life situations. Since human judgments including preferences are often vague and cannot be expressed by exact numerical values, the application of fuzzy concepts in decision making is deemed to be relevant. In this paper, we proposed the application of a fuzzy distance formula in order to compute a crisp value for the standard deviation of fuzzy data. Then, we use this crisp value of the standard deviation to normalize the fuzzy data using the distance formula again. In our normalization approach, we have enough flexibility to consider various types of fuzzy numbers (such as triangular, trapezoidal, and interval). Finally, we use the technique for order preference by similarity to an ideal solution to determine the ranking order of the alternatives. A numerical example from the literature is solved to demonstrate this applicability of the proposed model. We also compare our proposed approach with similar methods in the literature using some examples with known results and a number of randomly generated test problems. The results point to the applicability of our method and signify its effectiveness in identifying solutions. © 2009 Springer-Verlag London Limited
  6. Keywords:
  7. Fuzzy number ; MCDM ; Normalization ; TOPSIS ; Crisp data ; Decision data ; Distance formula ; Feasible alternatives ; Fuzzy concept ; Fuzzy data ; Fuzzy distance ; Fuzzy numbers ; Fuzzy topsis ; Ideal solutions ; Multiple-criteria decision-making ; Numerical example ; Numerical values ; Standard deviation ; Test problem ; Fuzzy rules ; Fuzzy sets ; Standards ; Statistics ; Decision making
  8. Source: International Journal of Advanced Manufacturing Technology ; Volume 45, Issue 3-4 , 2009 , Pages 406-420 ; 02683768 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00170-009-1971-5