Linear Programming with Triangular Fuzzy Numbers — A Case Study in a Finance and Credit Institute

Nasseri, Seyed Hadi; Behmanesh, Elham

doi:10.1007/s12543-013-0151-3

Cited by 12 publications

(11 citation statements)

References 25 publications

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“…Remark 6. By solving the mentioned FFLP problem using the two different methods, in fact, Algorithm 1 and Algorithm 2, we observed that the proposed optimal solution of problem (25) is actually the optimal solution of problem (24). This result indicates that the proposed method based on the MPLGP model, as given in (21), is more convenient and more practical, since our method can solve the problem merely by a single process directly.…”

Section: Optimal Solution Using Algorithmmentioning

confidence: 79%

“…Linear Programming (LP) problems has been used to model many serious real-life decision making problems such as management, economic, transportation, data envelopment analysis, railways, agricultural, and many industrial applications [24,25]. LP problems involve the optimization of a linear objective function, subject to some linear equality and inequality constraints involving some continuous /discrete non-negative decision variables.…”

Section: Introductionmentioning

confidence: 99%

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A goal programming approach for fuzzy flexible linear programming problems

Nasseri

Ramzannia-Keshteli

2018

IJOR

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We are concerned with solving Fuzzy Flexible Linear Programming (FFLP) problems. Even though, this model is very practical and is useful for many applications, but there are only a few methods for its situation. In most approaches proposed in the literature, the solution process needs at least, two phases where each phase needs to solve a linear programming problem. Here, we propose a method to solve the given problem in just one phase using only one problem. Furthermore, using our approach, sensitivity analysis of Fuzzy Flexible Linear Programming (FFLP) problem is simpler. For an illustration of our method, some numerical examples given. In particular, a practical problem is formulated and is solved by our method and several other methods and the obtained results are compared.

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Section: Optimal Solution Using Algorithmmentioning

confidence: 79%

Section: Introductionmentioning

confidence: 99%

A goal programming approach for fuzzy flexible linear programming problems

Nasseri

Ramzannia-Keshteli

2018

IJOR

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“…Definition 8 (Nasseri, 2013) : x * is called Pareto optimal solution of the fuzzy multiobjective linear program, if and only if there does not exist x ∈ X,such that…”

Section: Optimality Conceptsmentioning

confidence: 99%

Efficiency of MOMA-plus Method to Solve Some Fully Fuzzy L-R Triangular Multiobjective Linear Programs

Compaoré¹,

Somé²,

Poda³

et al. 2018

JMR

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In this paper, we propose a novel approach for solving some fully fuzzy L-R triangular multiobjective linear optimization programs using MOMA-plus method (Kounhinir, 2017). This approach is composed of two relevant steps such as the converting of the fully fuzzy L-R triangular multiobjective linear optimization problem into a deterministic multiobjective linear optimization and the applying of the adapting MOMA-plus method. The initial version of MOMA-plus method is designed for multiobjective deterministic optimization (Kounhinir, 2017) and having already been tested on the singleobjective fuzzy programs (Abdoulaye, 2017). Our new method allow to find all of the Pareto optimal solutions of a fully fuzzy L-R triangular multiobjective linear optimization problems obtained after conversion. For highlighting the efficiency of our approach a didactic numerical example is dealt with and obtained solutions are compared to Total Objective Segregation Method proposed by Jayalakslmi and Pandia (Jayalakslmi 2014).

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“…We consider the following Multi-Object ive Linear program (M OLP), which is strongly related to the fu zzy linear programing problem [9,15]. …”

Section: Multi-objjective Fuzzy Linear Programming Problemsmentioning

confidence: 99%

Solving a Linear Programming with Fuzzy Constraint and Objective Coefficients

Erfanian¹,

Abdi²,

Kahrizi³

2016

IJISA

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Abstract-In this paper, we consider a method for solving a linear programming problem with fu zzy objective and coefficient matrix, where the fu zzy numbers are supposed to be triangular. By the proposed method, the Decision Maker will have the flexib ility of choosing. The solving method is based on the Pareto algorith m, which converts the problem to a weightedobjective linear programming. For more illustration, after discussing the problem and the algorith m, we p resent an example, which its solutions are independent from the objective weights.

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Linear Programming with Triangular Fuzzy Numbers — A Case Study in a Finance and Credit Institute

Cited by 12 publications

References 25 publications

A goal programming approach for fuzzy flexible linear programming problems

A goal programming approach for fuzzy flexible linear programming problems

Efficiency of MOMA-plus Method to Solve Some Fully Fuzzy L-R Triangular Multiobjective Linear Programs

Solving a Linear Programming with Fuzzy Constraint and Objective Coefficients

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