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Mokslo publikacijos
2018-05-02

Multiple Criteria Group Decision-Making Considering Symmetry with Regards to the Positive and Negative Ideal Solutions via the Pythagorean Normal Cloud Model for Application to Economic Decisions

Pythagorean fuzzy sets are highly appealing in dealing with uncertainty as they allow for greater flexibility in regards to the membership and non-membership degrees by extending the set of possible values. In this paper, we propose a multi-criteria group decision-making approach based on the Pythagorean normal cloud. Some cloud aggregation operators are presented in this paper to facilitate the appraisal of the underlying utilities of the alternatives under consideration. The concept and properties of the Pythagorean normal cloud and its backward generation algorithm, aggregation operators and distance measurement are outlined. The proposed approach resembles the TOPSIS technique, which, indeed, considers the symmetry of the distances to the positive and negative ideal solutions. Furthermore, an example from e-commerce is presented to demonstrate and validate the proposed decision-making approach. Finally, the comparative analysis is implemented to check the robustness of the results when the aggregation rules are changed.

 

Keywords: Pythagorean fuzzy set; normal cloud; MCGDM; backward cloud transformation

 

Zhou, J.; Su, W.; Baležentis, T.; Streimikiene, D. 2018. Multiple Criteria Group Decision-Making Considering Symmetry with Regards to the Positive and Negative Ideal Solutions via the Pythagorean Normal Cloud Model for Application to Economic Decisions. In Symmetry 2018, Vol. 10, Issue 5, No article 140, eISSN 2073-8994, ISSN: 2073-8994, https://doi.org/10.3390/sym10050140, [Indexing & Abstracting].

 

Current Impact Factor: 1.457

5-year Impact Factor: 1.323

JCR category rank: 25/64 (Q2) in ‘Multidisciplinary Sciences’

 

 

Multiple Criteria Group Decision-Making Considering Symmetry with Regards to the Positive and Negative Ideal Solutions via the Pythagorean Normal Cloud Model for Application to Economic Decisions

 




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