Journal Article10.1080/00207727508941804
Multiple-objective optimization for environment development systems
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TL;DR: The problem of multiple-objective optimization for the environment development system is formulated and the so-called Pareto-optimal solution set is formulated, related in a one-to-one manner to a family of auxiliary scalar index problems.
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Abstract: This paper deals with multiple-objective optimization problems for the environment development system. The model of the environment development system, which was introduced by Kulikowski, is described by a system of non linear differential equations which include interconnected n exogenous and m endogenous controlled factors or processes. The problem of multiple-objective optimization for the environment development system is formulated. A main difficulty of multiple-objective optimization is that it is no longer clear what one means by an optimal solution. A possible remedy for this situation is to refine the concept of optimal solution by introducing the so-called Pareto-optimal solution set. Then multiple-objective optimization problem boils down to determining the set of Pareto-optimal solutions. The Pareto-optimal solution set is related in a one-to-one manner to a family of auxiliary scalar index problems. For an unconstrained multiple-objective optimization problem for the environment deve...
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Citations
MCDM Bibliography — 1975
Milan Zeleny
- 01 Jan 1976
TL;DR: Only the published works directly related to Multiple Criteria Decision Making, dealing with multidimensional scaling and conjoint measurement, and multiple cues modeling of human judgment are included.
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Multiple-criteria optimization of pollution control model
TL;DR: In this paper, the problem of multiple-criteria optimization for the pollution control model is formulated and an objective function which is expressed as a function of various criterions is introduced.
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Multi-objective optimization in decentralized management of development in large production organizations
TL;DR: In this article, a multi-objective optimization in decentralized management of development in large production organizations is studied. But the authors assume the sectors input-output relation is a generalized C.E.S. production function.
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Multiple-Objective Optimization in Water Resource Systems
TL;DR: Determination of the noninferior set is facilitated by relating it, in a one-to-one manner, to a family of auxiliary scalar optimization problems, by means of a problem that commonly occurs in water resource planning and management.
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On the noninferior set for the systems with vector-valued objective function
TL;DR: The necessary and sufficient conditions of the locally noninferior set for the static optimization problem with a vector-valued objective function have been derived in this article, where equality and inequality constraints in the variable space are discussed to give a more complete formulation.
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On the noninferior index approach to large-scale multi-criteria systems
TL;DR: In this paper, the non-inferior index solution of multi-criteria optimization theory is studied as it relates to large-scale systems, where the auxiliary index is the inner product of the index vector J and a weighting vector α.
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