TOLERANCE-CONTROL SOLUTIONS TO INTERVAL LINEAR EQUATIONS

DOI

10.2991/icaise.2013.5How to use a DOI?

Keywords

Interval linear equations, Tolerance solutions, Control solutions, Algebraic solutions, L-localized solutions, R-localized solutions, Tolerance-control solutions.

Abstract

In this paper, we discuss the solution of interval linear equations from the point of view of the vector components. Tolerance solutions, control solutions, algebraic solutions and localized solutions are defined based on the relationship of two vectors as a whole, this paper detailed considerate the relationship of components between the two vectors. A new type of solutions, tolerance-control solutions, to interval linear equations are proposed, and the characteristics of the new solutions are described, which is similar to the well-know Oettli-Prager inequality.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Li Tian
AU  - Wei Li
AU  - Qin Wang
PY  - 2013/08
DA  - 2013/08
TI  - TOLERANCE-CONTROL SOLUTIONS TO INTERVAL LINEAR EQUATIONS
BT  - Proceedings of the 2013 The International Conference on Artificial Intelligence and Software Engineering (ICAISE 2013)
PB  - Atlantis Press
SP  - 18
EP  - 22
SN  - 1951-6851
UR  - https://doi.org/10.2991/icaise.2013.5
DO  - 10.2991/icaise.2013.5
ID  - Tian2013/08
ER  -