Entropy-based selection with multiple objectives. (English) Zbl 0661.90086

Barron, F. Hutton; Schmidt, Charles P.

Nav. Res. Logist. 35, No. 6, 643-654 (1988).

We present an approach to determine the initially unspecified weights in an additive measurable multiattribute value function. We formulate and solve a series of nonlinear programming problems which (1) incorporate whatever partial information concerning the attribute weights or overall relative value of alternatives the decision maker chooses to provide, yet (2) yield a specific set of weights as a result. Although each formulation is rather easily solved using the nonlinear programming software GINO (general interactive optimizer), solutions in closed form dependent on a single parameter are also provided for a number of these problems.

MSC:

90C31	Sensitivity, stability, parametric optimization
90B50	Management decision making, including multiple objectives
91B06	Decision theory

Keywords:

multiattribute decision problems; additive measurable multiattribute value function; general interactive optimizer