General Algebraic Solutions of Fuzzy Dual Number Linear Systems

Hongjie Jiang, Pengcheng Xiao and Xiaoji Liu

Journal of Applied Mathematics, 2026, vol. 2026, 1-14

Abstract: In this paper, we define fuzzy dual number linear systems (FDLSs) expressed as CZ˜=W˜, where C represents a crisp dual number matrix and W˜ denotes a fuzzy dual number vector. Our study focuses on three primary objectives. First, we obtain the existence of strong fuzzy solutions to the FDLS by analyzing the CMP inverse of coefficient matrix. Second, we investigate the existence of nonnegative CMP inverse by analyzing their block structure. Third, we derive general strong fuzzy solutions for the FDLS and develop a corresponding computational algorithm based on the CMP inverse. Meanwhile, a method for obtaining general solutions of the FDLS is proposed under the premise of a strong fuzzy solution. To illustrate our theoretical framework, we present numerical examples demonstrating the efficacy of the proposed methodology.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jam/2026/9095685.pdf (application/pdf)
http://downloads.hindawi.com/journals/jam/2026/9095685.xml (application/xml)

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:hin:jnljam:9095685

DOI: 10.1155/jama/9095685

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().