(m,n)-Semirings and a Generalized Fault-Tolerance Algebra of Systems
Joint Authors
Rao, Shrisha
Davvaz, Bijan
Alam, Syed Eqbal
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We propose a new class of mathematical structures called (m,n)-semirings (which generalize the usual semirings) and describe their basic properties.
We define partial ordering and generalize the concepts of congruence, homomorphism, and so forth, for (m,n)-semirings.
Following earlier work by Rao (2008), we consider systems made up of several components whose failures may cause them to fail and represent the set of such systems algebraically as an (m,n)-semiring.
Based on the characteristics of these components, we present a formalism to compare the fault-tolerance behavior of two systems using our framework of a partially ordered (m,n)-semiring.
American Psychological Association (APA)
Alam, Syed Eqbal& Rao, Shrisha& Davvaz, Bijan. 2013. (m,n)-Semirings and a Generalized Fault-Tolerance Algebra of Systems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475094
Modern Language Association (MLA)
Alam, Syed Eqbal…[et al.]. (m,n)-Semirings and a Generalized Fault-Tolerance Algebra of Systems. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-475094
American Medical Association (AMA)
Alam, Syed Eqbal& Rao, Shrisha& Davvaz, Bijan. (m,n)-Semirings and a Generalized Fault-Tolerance Algebra of Systems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475094
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475094