Milan Hladík. Strong solvability of linear interval systems of inequalities with simple dependencies. Int. J. Fuzzy Comput. Model., 1(1):3–14, 2014.
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This paper is concerned with strong solvability of linear interval inequalities. In traditional interval analysis, we suppose that values from different intervals are mutually independent. But this assumption can be sometimes too restrictive. We derive extensions of classical results for the case when there is a simple dependence structure between coefficients of an interval system. The dependency is given by equality of two sub-matrices of the constraint matrix. We apply the approach to strong solvability of complex interval linear systems of inequalities.
@article{Hla2014c,
author = "Milan Hlad\'{\i}k",
title = "Strong solvability of linear interval systems of inequalities with simple dependencies",
journal = "Int. J. Fuzzy Comput. Model.",
fjournal = "International Journal of Fuzzy Computation and Modelling",
volume = "1",
number = "1",
pages = "3-14",
year = "2014",
doi = "10.1504/IJFCM.2014.064239",
issn = "2052-3548",
bib2html_dl_html = "http://dx.doi.org/10.1504/IJFCM.2014.064239",
abstract = "This paper is concerned with strong solvability of linear interval inequalities. In traditional interval analysis, we suppose that values from different intervals are mutually independent. But this assumption can be sometimes too restrictive. We derive extensions of classical results for the case when there is a simple dependence structure between coefficients of an interval system. The dependency is given by equality of two sub-matrices of the constraint matrix. We apply the approach to strong solvability of complex interval linear systems of inequalities.",
keywords = "Interval matrix, Strong solutions, Linear interval inequalities, Dependencies",
}
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