Journal ArticleDOI
Multiobjective programming in optimization of interval objective functions — A generalized approach
Stefan Chanas,Dorota Kuchta +1 more
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TLDR
This work unify all the discussed concepts as well as the corresponding solution methods into one general framework of the solution of the linear programming problem with interval coefficients in the objective function based on preference relations between intervals.About:
This article is published in European Journal of Operational Research.The article was published on 1996-11-08. It has received 234 citations till now. The article focuses on the topics: Linear-fractional programming & Fractional programming.read more
Citations
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Theory and practice of uncertain programming
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
A nonlinear interval number programming method for uncertain optimization problems
TL;DR: In this paper, a method is suggested to solve the nonlinear interval number programming problem with uncertain coefficients both in nonlinear objective function and nonlinear constraints, based on an order relation of interval number.
Journal ArticleDOI
A concept of the optimal solution of the transportation problem with fuzzy cost coefficients
Stefan Chanas,Dorotoa Kuchta +1 more
TL;DR: A definition of the optimal solution of the transportation problem with fuzzy cost coefficients as well as an algorithm determining this solution are proposed.
Journal ArticleDOI
Multiple objective linear programming models with interval coefficients – an illustrated overview
TL;DR: This paper provides an illustrated overview of the state of the art of Interval Programming in the context of multiple objective linear programming models.
Journal ArticleDOI
Calculus for interval-valued functions using generalized Hukuhara derivative and applications
TL;DR: This paper is devoted to studying differential calculus for interval-valued functions by using the generalized Hukuhara differentiability, which is the most general concept of differentiability for interval -valued functions.
References
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Multiple Criteria Optimization: Theory, Computation, and Application
TL;DR: Mathematical Background Topics from Linear Algebra Single Objective Linear Programming Determining all Alternative Optima Comments about Objective Row Parametric Programming Utility Functions, Nondominated Criterion Vectors and Efficient Points Point Estimate Weighted-sums Approach.
Journal ArticleDOI
Multiobjective programming in optimization of the interval objective function
Hisao Ishibuchi,Hideo Tanaka +1 more
TL;DR: In this article, a mathematical programming problem whose objective function has interval coefficients is investigated and the order relations which represent the decision maker's preference between interval profits are defined by the right limit, the left limit, center and width of an interval.
Journal ArticleDOI
Linear programming with fuzzy objectives
TL;DR: A new method for solving linear programming problems with fuzzy parameters in the objective function where the information contained in the membership functions can be used to any extent by a method called ‘α-level related pair formation’.
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Multiobjective programming in optimization of the interval objective function
Hisao Ishibuchi,Hideo Tanaka +1 more