Abstract
We consider n × n matrix whose elements are fuzzy numbers (hereinafter a fuzzy matrix) and we introduce notions of regularity of a fuzzy matrix and the inverse matrix of a fuzzy matrix (hereinafter the fuzzy inverse) in this paper. It is shown that the fuzzy inverse is a fuzzy matrix as well. Also we pay attention to the calculation of the fuzzy inverse in a special case. Main results are based on Rohn’s results in the field of linear problems with inexact data.
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Acknowledgments
This work was supported by project “Ph.D. students and young researches support in the University of Latvia” financed by European Social Fund.
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Lebedinska, J. On another view of an inverse of an interval matrix. Soft Comput 14, 1043–1046 (2010). https://doi.org/10.1007/s00500-009-0482-5
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DOI: https://doi.org/10.1007/s00500-009-0482-5