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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.
About
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

Determining design requirements in QFD using fuzzy mixed-integer goal programming: application of a decision support system

TL;DR: In this paper, a fuzzy mixed-integer goal programming model is proposed to determine a combination of optimal DR values, where the values of the DRs in the proposed model are taken as discrete.
Book ChapterDOI

A Survey of Fuzzy Optimization and Mathematical Programming

TL;DR: Emphasis is on various approaches to fuzzy linear programming as the most important from both the practical point of view and the purpose and scope fo the volume.
Book ChapterDOI

Transportation Problem in Neutrosophic Environment

TL;DR: This chapter introduces another set of values called neutrosophic set, a generalization of crisp sets, fuzzy set, and intuitionistic fuzzy set which is handle the uncertain, unpredictable, and insufficient information in real-life problem.
Journal ArticleDOI

A novel multi-agent system utilizing quantum-inspired evolution for demand side management in the future smart grid

TL;DR: A multi-agent based system to control and coordinate the operation among different entities within the Smart Grid by formulating the coordination problem among the agents as a multi-objective optimization problem solved by a quantum-inspired evolution algorithm.
Journal ArticleDOI

Multiobjective decision making in a fuzzy environment with applications to helicopter design

TL;DR: The outlined procedure should be useful in engineering design situations in which uncertainty arises about the preciseness of permissible parameters, degree of credibility, and correctness of statements and judgments.
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.
Journal ArticleDOI

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.