Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making
By Peide Liu, Peng Wang. International Journal of Intelligent Systems, 2018
840 citations recorded by the source corpus.
The q‐rung orthopair fuzzy sets (q‐ROFs) are an important way to express uncertain information, and they are superior to the intuitionistic fuzzy sets and the Pythagorean fuzzy sets. Their eminent characteristic is that the sum of the qth power of the membership degree and the qth power of the degrees of non‐membership is equal to or less than 1, so the space of uncertain information they can describe is broader. Under these environments, we propose the q‐rung orthopair fuzzy weighted averaging operator and the q‐rung orthopair fuzzy weighted geometric operator to deal with the decision information, and their some properties are well proved. Further, based on these operators, we presented two new methods to deal with the multi‐attribute decision making problems under the fuzzy environment. Finally, we used some practical examples to illustrate the validity and superiority of the proposed method by comparing with other existing methods.
Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/2a34be9663b2ce3f09ba998b950e99c4d1708543
Citations in the corpus
- Multiple-Attribute Decision-Making Based on Archimedean Bonferroni Operators of q-Rung Orthopair Fuzzy Numbers (2019, neutral): “4 [26]: Let Q̃1 = 〈u1 , v1〉 and Q̃2 = 〈u2 , v2〉 be any two q-ROFNs, let S(Q̃1) and S(Q̃2) be the SVs of the q-ROFNs Q̃1 and Q̃2 , respectively, and let H(Q̃1) and H(Q̃2) be the AVs of the q-ROFNs Q̃1 and Q̃2 , respectively.”
- Spherical fuzzy sets and their applications in multi-attribute decision making problems (2018, neutral): “From last few decades, the IFS has been explored by many researchers and successfully applied to many practical fields like medical diagnosis, clustering analysis, decision making and pattern recognition [1, 2, 5, 15, 16, 32, 34].”