A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average
Yükleniyor...
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Payame Noor University (PNU)
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Solving fuzzy linear systems has been widely studied during the last decades. However, there are still many challenges to solving fuzzy linear equations, as most of the studies have used the principle of extension, which suffers from shortcomings such as the lack of solution, achieving solutions under very strong conditions, large support of the obtained solutions, inaccurate or even incorrect solutions due to not utilizing all the available information, complicated process and high computational load. These problems motivated us to present a fuzzy Cramer method for solving fuzzy linear equations, which uses arithmetic operations based on the Transmission Average (TA). In this study, fully fuzzy linear systems in the form of à ˜X = ˜B, and dual fuzzy linear systems in the form of à ˜X + ˜B =˜C ˜X + ˜D are solved using the proposed fuzzy Cramer method, and numerical examples are provided to confirm the effectiveness and applicability of the proposed method. © 2022 by the authors.
Açıklama
Anahtar Kelimeler
Fuzzy Arithmetic, Fuzzy Cramer Method, Transmission Average, Fuzzy Approximation
Kaynak
Control and Optimization in Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
7
Sayı
2
Künye
Babakordi, F., & Allahviranloo, T. (2022). A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average. Control and Optimization in Applied Mathematics, 7(2), 115-130.
