An approach for solving a fuzzy bilevel programming problem through nearest interval approximation approach and KKT optimality conditions
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DOI: 10.1007/s00500-016-2144-8
Abstract: In this paper, we consider a kind of bilevel linear programming problem where the coefficients of both objective functions are fuzzy numbers. In order to deal with such a problem, the original problem can be… read more here.
Keywords: programming problem; interval; bilevel programming; approach ... See more keywords
Solving fuzzy quadratic programming problems based on ABS algorithm
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DOI: 10.1007/s00500-019-04013-3
Abstract: Recently, Ghanbari and Mahdavi-Amiri (Appl Math Model 34:3363–3375, 2010) gave the general compromised solution of an LR fuzzy linear system using ABS algorithm. Here, using this general solution, we solve quadratic programming problems with fuzzy… read more here.
Keywords: programming problem; programming; fuzzy quadratic; solving fuzzy ... See more keywords
Large Deviations of Empirical Estimates in the Stochastic Programming Problem with Nonstationary Observations and Continuous Time
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DOI: 10.1007/s10559-019-00187-8
Abstract: The paper considers a stochastic programming problem with the empirical function constructed based on nonstationary observations and continuous time. A random process, stationary in a narrow sense and satisfying the strong mixing condition is investigated… read more here.
Keywords: programming problem; stochastic programming; nonstationary observations; observations continuous ... See more keywords
Interval-Valued Programming Problem with Infinite Constraints
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DOI: 10.1007/s40305-018-0206-6
Abstract: In this paper, we explore a class of interval-valued programming problem where constraints are interval-valued and infinite. Necessary optimality conditions are derived. Notion of generalized $$(\varPhi , \rho )-$$(Φ,ρ)-invexity is utilized to establish sufficient optimality… read more here.
Keywords: programming problem; constraints interval; interval valued; valued programming ... See more keywords
A computational algorithm for the solution of fully fuzzy multi-objective linear programming problem
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DOI: 10.1007/s40435-017-0355-1
Abstract: The present paper defines a new distance function between two trapezoidal fuzzy (TrF) numbers which satisfies all the properties of metric and a degree of deviation between two TrF numbers. The proposed degree of deviation… read more here.
Keywords: programming problem; fully fuzzy; linear programming; solution ... See more keywords
A revisit of numerical approach for solving linear fractional programming problem in a fuzzy environment
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DOI: 10.1016/j.apm.2018.01.008
Abstract: Abstract In the article, Veeramani and Sumathi [10] presented an interesting algorithm to solve a fully fuzzy linear fractional programming (FFLFP) problem with all parameters as well as decision variables as triangular fuzzy numbers. They… read more here.
Keywords: programming; programming problem; fuzzy; fractional programming ... See more keywords
An Accelerating Algorithm for Linear Multiplicative Programming Problem
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DOI: 10.1109/access.2020.3031354
Abstract: By reformulating the linear multiplicative programming problem (LMP) as an equivalent nonconvex programming problem (EP), we present a new accelerating outcome space branch-and-bound algorithm for globally solving the problem (LMP). Firstly, a linear relaxed programming… read more here.
Keywords: programming problem; linear multiplicative; multiplicative programming; problem ... See more keywords
Genetic algorithmic based approach for multiple-objective probabilistic fractional programming problem involving discrete random variables
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DOI: 10.1371/journal.pone.0274619
Abstract: This manuscript presents a technique for solving a multiple-objective probabilistic fractional programming problem with discrete random variables. A multiple-objective probabilistic mathematical model is constructed with fractional objectives. In the model, some parameters of coefficients and… read more here.
Keywords: programming problem; multiple objective; fractional programming; random variables ... See more keywords
A method to solve separable fuzzy nonlinear programming problem
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DOI: 10.1504/ijor.2017.10005241
Abstract: This paper formulates piecewise fuzzy linear approximation of fuzzy nonlinear function of a single variable. First, we construct the equation of fuzzy line segment through two fuzzy points using -cuts of two fuzzy points. Now… read more here.
Keywords: fuzzy nonlinear; programming problem; fuzzy line; nonlinear function ... See more keywords
Multi-objective fuzzy quadratic probabilistic programming problem involving fuzzy Cauchy random variable
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DOI: 10.1504/ijor.2018.10014542
Abstract: In this paper, we have proposed a method for solving a multi-objective quadratic probabilistic programming problem, where the objective functions are multi-objective and quadratic in nature. The right hand side parameters are fuzzy Cauchy distributed… read more here.
Keywords: programming problem; multi objective; quadratic probabilistic; probabilistic programming ... See more keywords
Inexact Restoration Methods for Semivectorial Bilevel Programming Problem on Riemannian Manifolds
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DOI: 10.3390/axioms11120696
Abstract: For a better understanding of the bilevel programming on Riemannian manifolds, a semivectorial bilevel programming scheme is proposed in this paper. The semivectorial bilevel programming is firstly transformed into a single-level programming problem by using… read more here.
Keywords: programming problem; bilevel programming; semivectorial bilevel; riemannian manifolds ... See more keywords