A Novel Trigonometric Entropy Measure Based on the Complex Proportional Assessment Technique for Pythagorean Fuzzy Sets

Sahil Kashyap, Bartosz Paradowski, Neeraj Gandotra, Namita Saini and Wojciech Sałabun ()
Additional contact information
Sahil Kashyap: Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, HP, India
Bartosz Paradowski: National Institute of Telecommunications, ul. Szachowa 1, 04-894 Warsaw, Poland
Neeraj Gandotra: Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, HP, India
Namita Saini: Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, HP, India
Wojciech Sałabun: National Institute of Telecommunications, ul. Szachowa 1, 04-894 Warsaw, Poland

Energies, 2024, vol. 17, issue 2, 1-18

Abstract: The extension of intuitionistic fuzzy sets (IFS) to Pythagorean fuzzy sets (PFS) is a significant advancement, addressing the inherent limitations of IFS. This study introduces a novel entropy measure specifically designed for Pythagorean fuzzy sets, establishing its axiomatic definition and presenting key properties. Decision making guided by entropy is advantageous, as it effectively mitigates ambiguity with increasing entropy values. Furthermore, a numerical example is provided to facilitate a comparative assessment of our newly introduced entropy measure in contrast to existing PFS entropy measures. The validation of our findings is achieved through the application of the COPRAS method, which determines decision outcomes based on a multitude of influencing factors. Notably, the determination of weights in this method is underpinned by the utilization of our innovative entropy measure.

Keywords: intuitionistic fuzzy set; Pythagorean fuzzy sets; entropy measures; Pythagorean fuzzy entropy; multicriteria decision making; COPRAS technique (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1996-1073/17/2/431/pdf (application/pdf)
https://www.mdpi.com/1996-1073/17/2/431/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:17:y:2024:i:2:p:431-:d:1319961

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().