Stability of a fuzzy solution of systems of linear algebraic equations with fuzzy coefficients

Margit, Kovács; Fodor, Pavlovich Vasil'ev; Robert, Fullér [Fullér, Róbert (Operációkutatás), szerző]

Angol nyelvű Tudományos Szakcikk (Folyóiratcikk)
    Azonosítók
    • MTMT: 1114848
    • Mathematical Reviews: MR1002559
    We consider linear equality systems with crisp variables and fuzzy number parameters of symmetric trapezoidal form. It is shown that (i) the fuzzy solution (defined by R. Bellman and L. A. Zadeh [Management Sci. 17 (1970/71), B141--B164]) of these systems is stable under small variations of centres of fuzzy parameters, and (ii) any maximizing solution can be regarded as an approximate solution of a certain generally ill-posed classical linear equality system.
    Hivatkozás stílusok: IEEEACMAPAChicagoHarvardCSLMásolásNyomtatás
    2021-05-16 11:30