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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

Multi-objective geometric programming problem and its applications

TL;DR: The fuzzy optimization technique (through Geometric Programming technique) is described in order to solve the above multi-objective problem and the solution procedure is illustrated by a numerical example and real life applications.
Journal ArticleDOI

A Multicriteria Approach to Supersystem Architecture Definition

TL;DR: The concept of large-scale, distributed computing or supersystems is still relatively new and, as experience is gained in the actual design of such systems, it has become increasingly obvious that the planning and design of a "good" supersystem is inherently far more complex than in the case of conventional systems.
Proceedings ArticleDOI

A general model for linear programming with interval type-2 fuzzy technological coefficients

TL;DR: A general model for Linear Programming (LP) where its technological coefficients are assumed as Interval Type-2 fuzzy sets (IT2FS) and its left side parameters are defined as IT2FS and it is solved through an α-cuts approach.
Journal ArticleDOI

Interactive fuzzy decision-making for multi-objective nonlinear programming using reference membership intervals

TL;DR: An interactive fuzzy decision-making method by assuming that the decision-maker (DM) has fuzzy goals for each of the objective functions in multi-objective non-linear programming problems that can be derived efficiently from among a Pareto optimal solution set by updating his reference membership intervals.
Journal ArticleDOI

Measuring the relative performance for leading fabless firms by using data envelopment analysis

TL;DR: According to the CCR and A&P models, the results showed that the top ten Decision Management Units (DMUs) achieved better operation performance among the 30 leading global fabless firms.
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.