Finitary solvability conditions for systems of fuzzy relation equations

Authors:
Irina Perfilieva
Affiliations:
University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, 30, dubna 22, 701 03 Ostrava 1, Czech Republic
Venue:
Information Sciences: an International Journal
Year:
2013

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Abstract

In this paper, we consider the problem of solving systems of fuzzy relation equations. Two types of these systems with different compositions are considered and processed simultaneously. A new sufficient condition and new solvability criteria are proposed for systems of both types. All these conditions are finitary and thus can be easily verified. The sufficient condition and criteria of solvability characterize a relationship between a skeleton nxn matrix (n is a number of equations) and a vector of the right-hand side.