Journal ArticleDOI
Fuzzy programming and linear programming with several objective functions
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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.read more
Citations
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Journal ArticleDOI
Sensitivity analysis in fuzzy linear programming
TL;DR: A certain interpretation of a partially fuzzy LP-Problem is proposed and the corresponding variables of the Dual are analyzed and an economic interpretation is given.
Journal ArticleDOI
Computing improved optimal solutions to max–min flexible constraint satisfaction problems
Didier Dubois,Philippe Fortemps +1 more
TL;DR: This paper surveys refinements of the ordering of solutions supplied by the max–min formulation, namely the discrimin partial ordering and the leximin complete preordering and gives a general algorithm which computes all maximal solutions in the sense of these relations.
Journal ArticleDOI
A Bibliography on the Applications of Mathematical Programming Multiple-objective Methods
TL;DR: A bibliography on applications of multiple-objective methods which use no a priori explicit value function and are complex enough to require mathematical programming aids is given.
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Fuzzy B-spline membership function (BMF) and its applications in fuzzy-neural control
TL;DR: It is shown that the local tuning of BMFs can indeed reduce the number of iterations tremendously, and fuzzy-neural control of a model car is presented to illustrate the performance and applicability of the proposed method.
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A new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers
Amarpreet Kaur,Amit Kumar +1 more
TL;DR: A new algorithm is proposed for solving a special type of fuzzy transportation problems by assuming that a decision maker is uncertain about the precise values of transportation cost only but there is no uncertainty about the supply and demand of the product.
References
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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.
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.