Multi-Attribute Group Decision-Making Methods Based on Pythagorean Fuzzy N-Soft Sets

In this paper, by integrating Pythagorean fuzzy set with N-soft set, we propose a generalization of N-soft set called the theory of Pythagorean fuzzy N-soft set and explore some of related operations concerning this theory including the weak complement, extended union and intersection, restricted un...

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Bibliographic Details
Published in:IEEE access 2020, Vol.8, p.62298-62309
Main Authors: Zhang, Haidong, Jia-Hua, Duojie, Yan, Chen
Format: Article
Language:English
Subjects:
<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">N -soft set
Algorithm
Algorithms
Biological system modeling
Decision making
Fuzzy sets
Mathematical model
multi-attribute group decision-making problem
Pythagorean fuzzy <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">N -soft set
Pythagorean fuzzy set
Rough sets
Uncertainty
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Summary:In this paper, by integrating Pythagorean fuzzy set with N-soft set, we propose a generalization of N-soft set called the theory of Pythagorean fuzzy N-soft set and explore some of related operations concerning this theory including the weak complement, extended union and intersection, restricted union and intersection. Then two algorithms are introduced to Pythagorean fuzzy N-soft sets for dealing with multi-attribute group decision-making problems. Finally, a practical example is provided to illustrate the validity and practicality of Pythagorean fuzzy N-soft sets in multi-attribute group decision-making problems. Compared with the existing models, we also elaborate the advantages of this model.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2020.2984583