Determining the type of a solution to the fully pythagorean fuzzy linear equations system: exact, restricted, or relaxed approximate solution
Yazarlar (1)
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Applied Mathematics and Computing (Q1)
Dergi ISSN 1598-5865 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 08-2025
Kabul Tarihi 31-01-2025 Yayınlanma Tarihi 15-02-2025
Cilt / Sayı / Sayfa 71 / 4 / 4787–4813 DOI 10.1007/s12190-025-02409-z
Makale Linki https://doi.org/10.1007/s12190-025-02409-z
UAK Araştırma Alanları
Uygulamalı Matematik
Özet
In engineering and social research, linear systems are commonly used to address real-life problems of various dimensions. Therefore, many studies start by developing linear systems and then finding their solutions. Recent studies have demonstrated the effectiveness of Pythagorean fuzzy sets in capturing and representing complex forms of uncertainty, particularly when understanding the distinctions between membership and non-membership is crucial. This paper pioneers the finding a solution for a general (square or nonsquare) Fully Pythagorean Fuzzy Linear Equations System (FPFLES) with arbitrary triangular Pythagorean fuzzy numbers and fills a critical gap in the existing literature. Since an FPFLES consists of the sum of the multiplications of each arbitrary parameter and variable, and the fuzzy multiplication operation includes the min and max operators, a nonlinearity situation is observed in each …
Anahtar Kelimeler
Fully fuzzy linear equations system | Fuzzy Pythagorean solution | Mixed integer programming | Triangular Pythagorean fuzzy numbers