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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 Article

Fuzzy linear programming via simulated annealing

TL;DR: This paper shows how the simulated annealing (SA) algorithm provides a simple tool for solving fuzzy optimization problems by providing a well-known linear programming example.
Journal ArticleDOI

Linear programming with fuzzy sets: A general approach

TL;DR: The key idea is that fuzzy set theory allows concise characterization of an environment within which an agent operates and the methods of how to translate such a fuzzy description into a concrete mathematical model are the main theme.
Journal ArticleDOI

Design of supply chain in fuzzy environment

TL;DR: A new approach is developed to design a multi-echelon, multi-facility, and multi-product supply chain in fuzzy environment and a non-linear programming model is formulated through fuzzy goal programming using minimum operator in the tactical level.
Journal ArticleDOI

Two fuzzy possibilistic bi-objective zero-one programming models for outsourcing the equipment maintenance problem

TL;DR: In this paper, two fuzzy possibilistic bi-objective zero-one programming (FPBOZOP) models for outsourcing of the equipment maintenance are presented, which can measure the capability of the company in doing different activities, unlike previous studies, in order to see the possibility of maintenance in-house.
Journal ArticleDOI

A fuzzy satisficing method for multiobjective linear optimal control problems

TL;DR: A fuzzy satisficing method for the solution of multiobjective linear continuous optimal control problems by introducing suitable auxiliary variables and assuming that the decision maker may have fuzzy goals for the objective functions is proposed.
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.