Fundamental Properties of Interval‐Valued Pythagorean Fuzzy Aggregation Operators

By Xindong Peng, Yong Yang. International Journal of Intelligent Systems, 2016

504 citations recorded by the source corpus.

In this paper, we investigate the multiple attribute group decision making (MAGDM) problems with interval‐valued Pythagorean fuzzy sets (IVPFSs). First, the concept, operational laws, score function, and accuracy function of IVPFSs are defined. Then, based on the operational laws, two interval‐valued Pythagorean fuzzy aggregation operators are developed for aggregating the interval‐valued Pythagorean fuzzy information, such as interval‐valued Pythagorean fuzzy weighted average (IVPFWA) operator and interval‐valued Pythagorean fuzzy weighted geometric (IVPFWG) operator. A series of inequalities of aggregation operators are studied. Later, we develop some interval‐valued Pythagorean fuzzy point operators. Moreover, combining the interval‐valued Pythagorean fuzzy point operators with IVPFWA operator, we present some interval‐valued Pythagorean fuzzy point weighted averaging (IVPFPWA) operators, which can adjust the degree of the aggregated arguments with some parameters. Then, we propose an interval‐valued Pythagorean fuzzy ELECTRE method to solve uncertainty MAGDM problem. Finally, an illustrative example for evaluating the software developments is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/3756af9d42e9c00cbba9ef40bebc0d8b875427c9

How researchers see this paper

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

In Control and Systems Engineering

1. Ganeshsree Selvachandran
2. Huiyong Yuan
3. Xindong Peng
4. Yong Yang
5. Suleyman Mete
6. Harish Garg
7. Peide Liu
8. Peng Wang

In Management Science and Operations Research

1. Ganeshsree Selvachandran
2. Xindong Peng
3. Huiyong Yuan
4. Yong Yang
5. Suleyman Mete
6. Harish Garg
7. Peide Liu
8. Peng Wang

In Statistics and Probability

1. Ganeshsree Selvachandran
2. Xindong Peng
3. Huiyong Yuan
4. Yong Yang

Citations in the corpus

• Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision‐making process (2018, unknown): “38 –43.”
• Pythagorean fuzzy set: state of the art and future directions (2017, methodology): “Consequently, Peng and Yang (2016b) provided more flexible and richer expression called Pythagorean fuzzy linguistic set (PFLS), which can include the range of intuitionistic fuzzy linguistic set.”
• Pythagorean Fuzzy Information Measures and Their Applications (2017, methodology): “Peng and Yang 16 discussed their relationship and proposed a superiority and inferiority ranking multiple attribute group decision making (MAGDM) method.”