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
Solution of multiobjective linear programming problems in interval-valued intuitionistic fuzzy environment
TL;DR: A new computational algorithm for the solution of multiobjective linear programming (MOLP) problem in interval-valued intuitionistic fuzzy (IV-IF) environment is given and solutions are compared with other existing methods.
Journal ArticleDOI
Optimality conditions for linear programming problems with fuzzy coefficients
TL;DR: The optimality conditions for linear programming problems with fuzzy coefficients are derived by considering the orderings on the set of all fuzzy numbers by derived from the nondominated solution in the multiobjective programming problem.
Journal ArticleDOI
Data envelopment analysis based fuzzy multi-objective portfolio selection model involving higher moments
TL;DR: This work studies the portfolio selection problem from the perspective of incorporating more information about the non-normality of asset returns by considering the mean-variance-skewness-kurtosis framework, and proposes a fuzzy multi-objective linear programming model which is solved through a weighted max-min approach.
Journal ArticleDOI
An exponential membership function for fuzzy multiple objective linear programming
R.-J. Li,E. Stanley Lee +1 more
TL;DR: An exponential, instead of linear membership function is proposed, which is more realistic than the linear ones usually used for some practical applications and can be transformed to linear ones when the “product” and several other nonlinear aggregate operators are used.
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.