Abstract
The notion of a fuzzy linear system of equations as a set of five special interval systems of equations is introduced. The notions of weak and strong solvability (admissibility) of a fuzzy linear system of equations in five grades (crisp, quasi-crisp, semi-crisp, quasi-fuzzy, and fuzzy) are introduced. The criteria of weak solvability and admissibility of fuzzy linear systems of equations in the five grades are substantiated. Other properties of fuzzy systems and their weak solutions in all the five grades are proved.
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Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2014, pp. 33–43.
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Sergienko, I.V., Iemets, O.O. & Yemets, O.O. Systems of Linear Equations with Fuzzy Set Data: Weak Solvability and Weak Admissibility. Cybern Syst Anal 50, 191–200 (2014). https://doi.org/10.1007/s10559-014-9606-8
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DOI: https://doi.org/10.1007/s10559-014-9606-8