Konno, H., Yamashita, H.: Minimizing sums and products of linear fractional functions over a polytope. Naval Res. Logist. 46 , 583–596 (1999) MATH MathSciNetKonno H., Yamashita H.: Minimization of the sum and
Hirche J. Optimizing of sums and products of linear fractional functions under linear constraints. Optimization: A Journal of Mathematical Programming and Operations Research 1996; 38 (1): 39-48.Optimizing of sum and products of linear fractional function under linear con-straints. J. Hirsche. ...
The conditions in (60) form a set of first-order partial differential equations with the various coefficients specified by the linear controller family coefficients and the plant equilibrium functions. Existence conditions for a solution xec(σ) are known, but in general are quite restrictive. Howeve...
The fuzzy parameters in the objective functions and the constraints are characterized by fuzzy numbers. The concept of a-Pareto optimality is introduced in which the ordinary Pareto optimality is extended based on the 卤-level sets of the fuzzy numbers. In our interactive decision making method, ...
Thus, they do not affect the extrema points [Math Processing Error] of their objective functions at the ith iteration. 5.2. Connecting the KMA to the DA based KMKA Here, we will to connect the presented DA based KMKA to the KMA to show that they are algorithmic equivalent in the ...
摘要: In this paper we propose a Fully Polynomial Time Approximation Scheme (FPTAS) for a class of optimization problems where the feasible region is a polyhedral one and the objective function is the sum or product of linear ratio functions. The class includes the well known ones of...
We consider fractional linear programming production games for the single-objective and multiobjective cases. We use the method of Chakraborty and Gupta (2002) in order to transform the fractional linear programming problems into linear programming problems. A cooperative game is attached and we prove...
Ch. 2.1 in Modular Functions and Dirichlet Series in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 26-28, 1997.Krantz, S. G. "Linear Fractional Transformations." §6.3 in Handbook of Complex Variables. Boston, MA: Birkhäuser, pp. 81-86, 1999.Mathews, J. "The Moebius ...
Over the years, many activation functions have come to light. Among them, the prominently used functions are sigmoid, Hermite, mish, binary step, recti ed linear unit (ReLU), softplus, adaptive spline, and hyperbolic tangent (tanh) [2–6]. e activation functions widely considered in the ...
In this paper we present a testing procedure for fractional orders of integration in the context of non-linear terms approximated by Fourier functions. The procedure is a natural extension of the linear method proposed in Robinson (1994) and similar to the one proposed in Cuestas and Gil-Alana...