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On Generalized Transitive Matrices
Joint Authors
Jiang, Jing
Tian, Xinan
Shu, Lan
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Transitivity of generalized fuzzy matrices over a special type of semiring is considered.
The semiring is called incline algebra which generalizes Boolean algebra, fuzzy algebra, and distributive lattice.
This paper studies the transitive incline matrices in detail.
The transitive closure of an incline matrix is studied, and the convergence for powers of transitive incline matrices is considered.
Some properties of compositions of incline matrices are also given, and a new transitive incline matrix is constructed from given incline matrices.
Finally, the issue of the canonical form of a transitive incline matrix is discussed.
The results obtained here generalize the corresponding ones on fuzzy matrices and lattice matrices shown in the references.
American Psychological Association (APA)
Jiang, Jing& Shu, Lan& Tian, Xinan. 2011. On Generalized Transitive Matrices. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-451012
Modern Language Association (MLA)
Jiang, Jing…[et al.]. On Generalized Transitive Matrices. Journal of Applied Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-451012
American Medical Association (AMA)
Jiang, Jing& Shu, Lan& Tian, Xinan. On Generalized Transitive Matrices. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-451012
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451012