Type-2 Fuzzy ANP and TOPSIS methods based on trapezoid Fuzzy number with a new metric

(1) * Yeni Kustiyahningsih Mail (University of Trunojoyo Madura, Indonesia)
(2) Eza Rahmanita Mail (University of Trunojoyo Madura, Indonesia)
(3) Bain Khusnul Khotimah Mail (University of Trunojoyo Madura, Indonesia)
(4) Jaka Purnama Mail (University of 17 Agustus 1945, Indonesia)
*corresponding author

Abstract


Modeling and linguistic representation in the form Interval Type-2 Fuzzy have better accuracy than Type-1 Fuzzy. The type-2 fuzzy set involves more uncertainty than the type-1 fuzzy set. The degree of fuzzy membership is used to explain uncertainty and ambiguity in the real world. This study presents the type-2 Fuzzy Analytic Network Process (ANP) method to determine the weight of each attribute based on the level of interest and the extension method of type-2 Fuzzy TOPSIS to handle problems based on the value of the fuzzy type-2 attribute. Decision-making is based on the assessment of several experts called Multi-Criteria Group Decision Making (MCGDM), using type-2 Fuzzy geometric mean aggregation function. The membership function in this research is type-2 fuzzy based on the trapezoid. The contribution is a hybrid method Type-2 Fuzzy TOPSIS with Fuzzy Type-2 ANP group-based with new metric intervals on fuzzy type-2 for decision making. The results are a hybrid type-2 FANP and FTOPSIS decision-making model to support the best decision-making. Based on a comparison of the accuracy of trapezoid model 1, model 2, and model 3, the best accuracy result is model 3, which is 84%. The research benefits by presenting a hybrid Type-2 Fuzzy TOPSIS and ANP method that improves decision-making accuracy and better handling uncertainty and ambiguity than Type-1 Fuzzy systems.

Keywords


FANP; FTOPSIS; Type-2 fuzzy; Batik SMEs; Multi-Criteria Group Decision Making

   

DOI

https://doi.org/10.26555/ijain.v10i2.1285
      

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