Abstract
In this paper a general methodology for studying and solving fuzzy relation equations based on sup-t composition, where t is any continuous triangular norm, is proposed. To this end the concept of the “solution matrices” is introduced, as a way of representing the process information required for the resolution. Using this concept, the solution existence of a fuzzy relation equation is first examined. When the relation equation has no solution, the reasons for this lack of solvability are found. Otherwise, the solution set is determined.
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Stamou, G. and Tzafestas, S., Resolution of sup-t fuzzy relation equations, submitted.
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© 1998 Springer-Verlag
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Tzafestas, S.G., Stamou, G.B. (1998). A new solution methodology for fuzzy relation equations. In: Mira, J., del Pobil, A.P., Ali, M. (eds) Methodology and Tools in Knowledge-Based Systems. IEA/AIE 1998. Lecture Notes in Computer Science, vol 1415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-64582-9_750
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DOI: https://doi.org/10.1007/3-540-64582-9_750
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