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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

An efficient recurrent neural network model for solving fuzzy non-linear programming problems

TL;DR: A new effective one-layer structure recurrent neural network model for solving fuzzy non-linear programming (FNLP) problems is designed and the Lagrangian dual and the Karush-Kuhn-Tucker optimality conditions are constructed.
Journal ArticleDOI

Multi-objective expansion analysis for sustainable agro-industrial value chains based on profit, carbon and water footprint

TL;DR: In this article, a fuzzy-based multi-objective approach is developed for planning sustainable new expansions of agriculture lands and also the expansion and capacity of post-harvest and production facilities and operations of logistics in the agro-industrial value chain are optimised.
Journal ArticleDOI

Application of fuzzy goal programming approach to multi-objective linear fractional inventory model

TL;DR: The proposed inventory model becomes a multiple criteria decision-making (MCDM) problem in fuzzy environment and is solved by multi-objective fuzzy goal programming (MOFGP) approach.
Journal ArticleDOI

Fuzzy mixed integer programming model for medium-term planning in a closed-loop supply chain with remanufacturing option

TL;DR: A fuzzy mixed integer programming model for medium-term planning in a CLSC related to a conceptual product with remanufacturing option is developed and converted into a crisp equivalent model by utilizing several fuzzy aggregation procedures from the literature.
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.
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.