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Book ChapterDOI

Fuzzy Mathematical Programming

Hans-Jürgen Zimmermann
- 01 Jan 1983 - 
- Vol. 10, Iss: 4, pp 291-298
TLDR
Fuzzy linear programming belongs to goal programming in the sense that implicitly or explicitly aspiration levels have to be defined at which the membership functions of the fuzzy sets reach their maximum or minimum.
About
This article is published in Computers & Operations Research.The article was published on 1983-01-01. It has received 574 citations till now. The article focuses on the topics: Parametric programming & Fuzzy set operations.

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Citations
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Book

Theory and practice of uncertain programming

Baoding Liu
TL;DR: This book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas, hybrid intelligent algorithms, and applications in system reliability design, project scheduling problem, vehicle routing problem, facility location problem, and machine scheduling problem.
Journal ArticleDOI

Optimization under uncertainty: state-of-the-art and opportunities

TL;DR: This paper reviews theory and methodology that have been developed to cope with the complexity of optimization problems under uncertainty and discusses and contrast the classical recourse-based stochastic programming, robust stochastics programming, probabilistic (chance-constraint) programming, fuzzy programming, and stochastically dynamic programming.
Journal ArticleDOI

Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem

TL;DR: Some fuzzy linear programming methods and techniques from a practical point of view are reviewed and some newly developed ideas and techniques in fuzzy mathematical programming are briey reviewed.
Journal ArticleDOI

Fuzzy multiple criteria decision making: recent developments

TL;DR: The most important methods are reviewed and a novel approach — interdependence in MCDM — is introduced.
Book

Fuzzy Multi-Criteria Decision Making: Theory and Applications with Recent Developments

TL;DR: Fuzzy Multi-Criteria Decision Making (MCDM) as discussed by the authors ) is a popular decision-making method for computer programmers, mathematicians and scientists in a variety of disciplines where multicriteria decision making is needed.
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

Integer programming

TL;DR: The principles of integer programming are directed toward finding solutions to problems from the fields of economic planning, engineering design, and combinatorial optimization as mentioned in this paper, which is a standard of graduate-level courses since 1972.
Journal ArticleDOI

Fuzzy programming and linear programming with several objective functions

TL;DR: 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.
Journal ArticleDOI

Latent connectives in human decision making

TL;DR: The results of the experiments support the hypothesis that people often use compensatory procedures and suggest a new class of operators which varies with respect to a parameter of compensation.
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.