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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

The personalization of security selection: An application of fuzzy set theory

TL;DR: The theory of fuzzy subsets is applied to the multiple objective decision problem of stock selection and some procedures for subjectively evaluating the membership functions associated with these criteria are indicated.
Journal ArticleDOI

Multi-objective game theory model and fuzzy programing approach for sustainable watershed management

TL;DR: The results of feasibility evaluation of the application of multi-objective game theory and fuzzy programing approaches for settling balance between economic development and environmental impact as well as to facilitate the respective decision-makings in Zemkan basin, west of Iran reveal that Nash bargaining solution differs from Pareto optimalities.
Journal ArticleDOI

An approach for solving fully fuzzy multi-objective linear fractional optimization problems

TL;DR: An algorithm for solving fully fuzzy multi-objective linear fractional (FFMOLF) optimization problem with the help of the ranking function and the weighted approach is proposed and compared with corresponding existing methods for deterministic problems.
Journal ArticleDOI

Multi-objective models and real case study for dual-channel FAP supply chain network design with fuzzy information

TL;DR: The result shows the presented SCND models can guide relevant enterprises to make optimize decisions with fuzzy information and the effectiveness and applicability of the models and algorithm are validated with a real case.
Journal ArticleDOI

Carbon reduction from sustainable consumption of waste resources: An optimal model for collaboration in an industrial symbiotic network

TL;DR: In this paper, industrial symbiosis is used as a tool for inter-firm cooperation on carbon emission reduction (CER) in a symbiotic network, and an optimisation model is constructed with the constraint of both product demand and CER cost.
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.