A Novel Improved Accuracy Function for Interval Valued Pythagorean Fuzzy Sets and Its Applications in the Decision-Making Process

2017 ◽  
Vol 32 (12) ◽  
pp. 1247-1260 ◽  
Author(s):  
Harish Garg
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Decision Making Process ◽  
Accuracy Function ◽  
Pythagorean Fuzzy Sets ◽  
Improved Accuracy ◽  
Interval Valued

scholarly journals The Multi-Attributive Border Approximation Area Comparison (Mabac) Method for Decision Making under Interval-Valued Fermatean Fuzzy Environment for Green Supplier Selection

2021 ◽  
Author(s):  
Manoj Mathew ◽  
Ripon K. Chakrabortty ◽  
Michael J. Ryan ◽  
Muhammad Fazal Ljaz ◽  
Syed Abdul Rehman Khan
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Supplier Selection ◽  
Hamming Distance ◽  
Score Function ◽  
Data Uncertainty ◽  
Pythagorean Fuzzy Sets ◽  
Green Supplier Selection ◽  
Interval Extension ◽  
Interval Valued

In the era of sustainable development, green supplier selection has become a key component of supply chain management, as it considers criteria such as carbon footprint, water usage, energy usage and recycling capacity. Since the green supplier selection problem involves subjective criteria and uncertainty in preferences, it is well suited to using multi-criteria decision-making methods (MCDM). Although few researchers have investigated MCDM for green supplier selection under uncertainty using intuitionistic and Pythagorean fuzzy sets. Still, the newly developed fermatean fuzzy can handle greater data uncertainty than intuitionistic and Pythagorean fuzzy sets. Since interval extension of fuzzy theory provides more accurate modeling, in this paper, we propose an interval extension of fermatean fuzzy set and discuss its fundamental set operations, arithmetic operations and related properties. We propose the Hamming distance function and the score function of the interval-valued fermatean fuzzy numbers. The recently developed Multi-attribute Border Approximation Area Comparison (MABAC) method is also considered due to its stable and simple computation compared to other conventional MCDM methods. Therefore, an interval-valued fermatean fuzzy MABAC method is proposed and solved to select a green supplier based on multiple criteria. The proposed method's comparative analysis and sensitivity analysis validate the proposed method's effectiveness and robustness.

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