Fuzzy Linear Programming Based on Fuzzy Functions
Hideo Tanaka,Kiyoji Asai +1 more
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TLDR
This fuzzy linear programming problem based on fuzzy functions can be regarded as a model of decision problems where human estimation is influential and obtained a reasonable solution under consideration of the ambiguity of parameters.About:
This article is published in IFAC Proceedings Volumes.The article was published on 1981-08-01 and is currently open access. It has received 19 citations till now. The article focuses on the topics: Fuzzy number & Fuzzy set operations.read more
Citations
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Book ChapterDOI
Fuzzy Mathematical Programming
TL;DR: 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.
Journal ArticleDOI
A grey linear programming approach for municipal solid waste management planning under uncertainty
TL;DR: In this paper, a grey linear programming (GLP) model is introduced to the civil engineering area, which allows uncertainties in the model inputs to be communicated into the optimization process, and thereby solutions reflecting the inherent uncertainties can be derived.
Journal ArticleDOI
A multicriteria fuzzy linear programming method for water supply system development planning
TL;DR: This method for solving a multicriteria linear program where the coefficients of the objective functions and the constraints are fuzzy numbers of the L-R type is elaborated with a view to the application to the development of a water supply system.
Journal ArticleDOI
Fuzzy optimization: an appraisal
TL;DR: A general look at core ideas that make up the burgeoning body of Fuzzy mathematical programming emphasizing the methodological view is taken.
Journal ArticleDOI
Fuzzy solution in fuzzy linear programming problems
H. Tanaka,K. Asai +1 more
TL;DR: Fuzzy linear programming problems are discussed in which both constraints and objective functions are assumed to be fuzzy inequalities and it is shown how to reduce this problem to the conventional linear programming problem so that it can be easily solved by the ordinary algorithms of linear programming.
References
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Journal ArticleDOI
The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Book
Decision-making in a fuzzy environment
Richard Bellman,Lotfi A. Zadeh +1 more
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.
Journal ArticleDOI
Operations on fuzzy numbers
Didier Dubois,Henri Prade +1 more
TL;DR: The usual algebraic operations on real numbers are extended to fuzzy numbers by the use of a fuzzification principle, and the practical use of fuzzified operations is shown to be easy, requiring no more computation than when dealing with error intervals in classic tolerance analysis.
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
On Fuzzy-Mathematical Programming
TL;DR: The main concern is with the application of the theory of fuzzy sets to decision problems involving fuzzy goals and strategies, etc., as defined by R. E. Bellman and L. A. Zadeh.