Pythagorean Membership Grades, Complex Numbers, and Decision Making

By Ronald R. Yager, Ali M. Abbasov. International Journal of Intelligent Systems, 2013

1,347 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/2d30b0d6a5af7fa99b7861338f45530ed8e646b3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Xindong Peng
2. Peide Liu
3. Yong Yang
4. Harish Garg
5. Peng Wang
6. Xiaolu Zhang
7. Zeshui Xu
8. Huiyong Yuan

In Computational Theory and Mathematics

1. Xindong Peng
2. Harish Garg
3. Yong Yang
4. Peide Liu
5. Peng Wang
6. Ronald R. Yager
7. Xiaolu Zhang
8. Zeshui Xu

Citations in the corpus

• Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets (2014, background): “Following the pioneering works of Yager, 8–10 we will present some novel concepts and theorems for PFSs.”
• Fermatean fuzzy sets (2019, background): “For such instances, Yager (2013) launched a new notion of Pythagorean fuzzy set to manage this condition.”
• Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making (2016, background): “Yager and Abbasov 15 gave an example to state this situation: A decision maker gives his support for membership of an alternative is √ and his against membership is .”
• Fundamental Properties of Interval‐Valued Pythagorean Fuzzy Aggregation Operators (2016, background): “16,18 Let X be a universe of discourse.”
• Multiple-Attribute Decision-Making Based on Archimedean Bonferroni Operators of q-Rung Orthopair Fuzzy Numbers (2019, background): “For example, Yager and Abbasov [44] studied the relationship between the Pythagorean fuzzy numbers (PFNs) and the complex numbers.”
• Some Results for Pythagorean Fuzzy Sets (2015, background): “Yager 9,10 proposed four kinds of aggregation operators: Pythagorean fuzzy weighted average (PFWA) operator, Pythagorean fuzzy weighted geometric average (PFWG) operator, Pythagorean fuzzy weighted power average (PFWPA) operator, Pythagorean fuzzy weighted power geometric (PFWPG) operator, and…”
• Pythagorean Fuzzy Information Measures and Their Applications (2017, background): “Yager and Abbasov 12 gave an example to state this situation: a decision maker gives his support for membership of an alternative is √ , and his against membership is .”
• A Novel Approach Based on Similarity Measure for Pythagorean Fuzzy Multiple Criteria Group Decision Making (2016, background): “Afterwards, Yager and Abbasov 12 discussed the relation between Pythagorean membership degrees and complex numbers.”