The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Fundamental Properties of Interval-Valued Pythagorean Fuzzy Aggregation Operators
Open accessAbstract
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.
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Cited by
Senapati, T., & Yager, R. R. (2019) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2019.05.012 · Cited by 451
Optimization of PFMEA Team Composition in the Automotive Industry Using the IPF-RADAR Approach
Komatina, N., & Marinković, D. (2025) · Algorithms · doi:10.3390/a18060342 · Cited by 13
Aleksić, A., Tadić, D., Komatina, N., & Nestić, S. (2025) · Mathematics · doi:10.3390/math13132216 · Cited by 11
Metadata
- Authors
- Peng, X., & Yang, Y.
- Venue
- International Journal of Intelligent Systems
- Publisher
- Hindawi Limited
- Published
- 2015-10-19
- Volume
- 31
- Issue
- 5
- Pages
- 444-487
- ISSN
- 0884-8173 (ISSN-L)
- OpenAlex
- W1765570948
- Cited by
- 537
- References
- 24
- FWCI
- 26.19
- Type
- journal article
- Language
- en
- Open access
- bronze
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