A Development of Pythagorean fuzzy hypersoft set with basic operations and decision-making approach based on the correlation coefficient
| Main Authors: | Rana Muhammad Zulqarnain, Xiao Long Xin, Muhammad Saeed |
|---|---|
| Format: | Book publication-section Journal |
| Terbitan: |
Pons Publishing House
, 2021
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/4788064 |
Daftar Isi:
- The idea of the Pythagorean fuzzy hypersoft set is a generalization of the intuitionistic fuzzy hypersoft set, which is used to express insufficient evaluation, uncertainty, and anxiety in decision-making. Compared with the intuitionistic fuzzy hypersoft set, the Pythagorean fuzzy hypersoft set can accommodate more uncertainty, which is the most important strategy for analyzing fuzzy information in the decision-making process. The most important determination of the present research is to perform basic operations under the Pythagorean fuzzy hypersoft set (PFHSS) with their mandatory properties. In it, we establish logical operators and propose the idea of necessity and possibility operations under PFHSS. In the following research under PFHSS, some desirable properties are proposed by using the proposed operations. We also introduce the correlation coefficient under the PFHSS structure and develop an algorithm for decision-making by using the developed correlation coefficient. Furthermore, a case study on decision-making difficulties proves the application of the proposed algorithm. Finally, a comparative analysis with the advantages, effectiveness, flexibility, and numerous existing studies demonstrates this method's effectiveness.