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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 programming approach to multiobjective solid transportation problem

TL;DR: This paper presents an application of fuzzy linear programming to the linear multiobjective solid transportation problem and gives efficient solutions as well as an optimal compromise.
Journal ArticleDOI

Bi-level fuzzy optimization approach for water exchange in eco-industrial parks

TL;DR: In this article, a bi-level fuzzy optimization model is developed to explore the effect of charging fees for the purchase of freshwater and the treatment of wastewater in optimizing the water exchange network of plants in an eco-industrial park.
Journal ArticleDOI

Green supplier selection and order allocation in a low-carbon paper industry: integrated multi-criteria heterogeneous decision-making and multi-objective linear programming approaches

TL;DR: The main objective is to engage the case company with their supplier networks to diminish the greenhouse gases emissions and cost in their production process to support the selection of the best green supplier and an allocation of order among the potential suppliers.
Journal ArticleDOI

A weighted additive fuzzy programming approach for multi-criteria supplier selection

TL;DR: A fuzzy multi-objective linear model is developed to overcome the selection problem and assign optimum order quantities to each supplier and is explained by a numerical example.
Journal ArticleDOI

Using fuzzy sets in operational research

TL;DR: Fuzzy Set Theory as proposed by L. Zadeh in 1965 promises to bridge part of the gap in modelling of problems which are not well-structured and which can not easily be cast into classical mathematical models.
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.