Stancu-Minasian, I. M.; Duca, Dorel I.; Nishida, Toshio Multiple objective linear fractional optimization in complex space. (English) Zbl 0694.90090 Math. Jap. 35, No. 1, 195-203 (1990). Summary: Characterization of efficiency is given for classes of multiple objective linear fractional optimization in complex space. The principal tools employed here are the change of variables, which reduces a multiple objective linear fractional programming problem in complex space to a multiple objective linear programming in complex space. Also, a theorem of the alternative for a complex nonhomogeneous linear inequality is given. Cited in 2 Documents MSC: 90C31 Sensitivity, stability, parametric optimization 90C32 Fractional programming 90C48 Programming in abstract spaces 90C05 Linear programming Keywords:efficiency; multiple objective linear fractional optimization; complex space; theorem of the alternative; complex nonhomogeneous linear inequality PDFBibTeX XMLCite \textit{I. M. Stancu-Minasian} et al., Math. Japon. 35, No. 1, 195--203 (1990; Zbl 0694.90090)