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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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An exact solution approach for multi-objective location-transportation problem for disaster response

TL;DR: An epsilon-constraint method is proposed and proved that it generates the exact Pareto front and can be applied to any three-objective optimization problem provided that the problem involves at least two integer and conflicting objectives.
Journal ArticleDOI

Lost in optimisation of water distribution systems? A literature review of system operation

TL;DR: This paper provides a systematic review by bringing together over two hundred publications from the past three decades, which are relevant to operational optimisation of water distribution systems, particularly optimal pump operation, valve control and system operation for water quality purposes of both urban drinking and regional multiqualityWater distribution systems.
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An interactive fuzzy programming system

TL;DR: F fuzzy extreme solutions are computed and are presented to the decision maker and each of the proposed compromise solutions are fuzzy-efficient.
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Fuzzy optimization: an appraisal

TL;DR: A general look at core ideas that make up the burgeoning body of Fuzzy mathematical programming emphasizing the methodological view is taken.
Journal ArticleDOI

Aggregate production planning with multiple objectives in a fuzzy environment

TL;DR: The proposed model is more appropriate than the unfuzzy problem formulation in terms of reflecting a realistic situation and the information costs are generally decreased.
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.
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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.
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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.