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Journal ArticleDOI

Fuzzy programming and linear programming with several objective functions

Hans-Jürgen Zimmermann
- 01 Jan 1978 - 
- Vol. 1, Iss: 1, pp 45-55
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TLDR
It is shown that solutions obtained by fuzzy linear programming are always efficient solutions and the consequences of using different ways of combining individual objective functions in order to determine an “optimal” compromise solution are shown.
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This article is published in Fuzzy Sets and Systems.The article was published on 1978-01-01. It has received 3357 citations till now. The article focuses on the topics: Linear-fractional programming & Inductive programming.

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Citations
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Journal ArticleDOI

Fuzzy goal programming approach for water quality management in a river basin

TL;DR: The case study demonstrates the capability of the two FGP approaches based on variable fuzzy decision theories to work suitably in water quality management in a river basin.
Journal ArticleDOI

A multi-objective programming approach, integrated into the TOPSIS method, in order to optimize product design; in three-dimensional concurrent engineering

TL;DR: A new method using a Multi-Objective Linear Programming (MOLP) model integrated to the TOPSIS method in order to determine the best configuration product design, assembly process and suppliers of components is proposed.
Journal ArticleDOI

Multi-criteria fuzzy optimization for locating warehouses and distribution centers in a supply chain network

TL;DR: A two-phase fuzzy decision-making method is presented and is proven effective in providing a compromised solution in an uncertain multi-echelon supply chain network.
Journal ArticleDOI

The investigation of cost variances: a fuzzy set theory approach*

TL;DR: In this article, a model based on fuzzy set theory is proposed and applied to an actual investigation problem faced by a manufacturing company in order to identify the causes of the variance and who is responsible for them before corrective actions are taken.
Journal ArticleDOI

A fuzzy multi-criteria decision making approach for solving a bi-objective personnel assignment problem

TL;DR: This paper proposes a systematic approach with a feedback mechanism in which the interdependences among positions and the differences among the selected employees are considered simultaneously and achieves the acceptable satisfaction level and requires less computation time than the brute force enumerative method.
References
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Book

Decision-making in a fuzzy environment

TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
Book

Management Models and Industrial Applications of Linear Programming

TL;DR: In place of a survey or evaluation of industrial studies, two broad issues which are relevant to all such applications will be discussed, including the use of linear programming models as guides to data collection and analysis and prognosis of fruitful areas of additional research, especially those which appear to have been opened by industrial applications.
Journal ArticleDOI

Linear programming with multiple objective functions: Step method (stem)

TL;DR: In this man-model symbiosis, phases of computation alternate with phases of decision, which allows the decision-maker to “learn” to recognize good solutions and the relative importance of the objectives.
Journal ArticleDOI

Description and optimization of fuzzy systems

TL;DR: Fuzzy set theory is applied to fuzzy linear programming problems and it is shown how fuzzylinear programming problems can be solved without increasing the computational effort.
Journal ArticleDOI

Interactive approach for multi-criterion optimization, with an application to the operation of an academic department.

TL;DR: An interactive mathematical programming approach to multi-criterion optimization is developed, and then illustrated by an application to the aggregated operating problem of an academic department.