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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

A robust optimization model for stochastic aggregate production planning

TL;DR: In this paper, a robust optimization model is developed to solve the aggregate production planning problems in an environment of uncertainty in which the production cost, labour cost, inventory cost, and hiring and layoff cost are minimized.
Journal ArticleDOI

A fuzzy transportation algorithm

TL;DR: An algorithm for solving transportation problems with fuzzy constraints is proposed and the relationship between the algebraic structure of the optimum solution of the deterministic problem and its fuzzy equivalent is investigated.
Journal ArticleDOI

Multi-objective multi-item solid transportation problem in fuzzy environment

TL;DR: Fuzzy programming technique and global criterion method are applied to derive optimal compromise solutions of multi-objectives and corresponding results are compared.
Journal ArticleDOI

Matrix Games with Fuzzy Goals and Fuzzy Linear Programming Duality

TL;DR: A two person zero-sum matrix game with fuzzy goals is shown to be equivalent to a primal-dual pair of fuzzy linear programming problems.
Journal ArticleDOI

Novel fuzzy hybrid multi-criteria group decision making approaches for the strategic supplier selection problem

TL;DR: Two new fuzzy hybrid approaches for the strategic supplier selection problem are developed that combines the fuzzy consensus-based possibility measure and fuzzy TOPSIS method and the inclusion and participation of stakeholders in the decision-making process is explicit.
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.
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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.