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General Type-2 fuzzy decision making and its application to travel time selection

Published: 01 January 2019 Publication History

Abstract

 The Decision making has been a major research topic in the computing literature for so long due to its vast significance in many real-world applications. Traditional fuzzy decision making (FDM) approaches have limitations due to the inability of the type-1 fuzzy sets (T1 FSs) in modeling higher order uncertainties. Since, the membership function (MF) of an interval type-2 fuzzy set (IT2 FS) is also fuzzy, as superior to T1 FSs, researchers considered IT2 FSs to model higher level of uncertainties in FDM and proposed a number of IT2 FDM methods. However, unlike IT2 FSs, general type-2 fuzzy sets (GT2 FSs) do not consider equal secondary membership values for all its primary membership functions. Hence, GT2 FSs offer more suitability in modelling uncertainties that exist in real-world scenarios. Thus, this paper proposes a more efficient decision making method called the “GT2 Fuzzy Decision Making (GT2 FDM)”, which considers GT2 FSs to model the fuzzy goals and fuzzy constraints in a problem. The working of the proposed approach is demonstrated using an example of room temperature selection. Then we have applied it to the problem of convenient travel time selection using a real-time traffic data set. It is observed that the proposed GT2 FDM approach offers more flexibility to the decision makers in choosing an optimal solution from a much wider solution space and hence is found to be more efficient than the IT2 FDM and classical FDM approaches.

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      cover image Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
      Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology  Volume 36, Issue 6
      2019
      1589 pages

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      IOS Press

      Netherlands

      Publication History

      Published: 01 January 2019

      Author Tags

      1. Decision making
      2. General type-2 fuzzy sets
      3. Centroid defuzzification
      4. Bibliographic analysis
      5. Real-time traffic dataset

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