Computing Improved Fuzzy Optimal Hungarian Assignment Problems with Fuzzy Costs Under Robust Ranking Techniques.

Nagarajan, R.; Solairaju, A.

doi:10.5120/1070-1398

Cited by 25 publications

(19 citation statements)

References 13 publications

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“…The method is to rank the fuzzy objective values of the objective function by some ranking method for numbers to find the best alternative. On the basis of this idea the Robust Ranking method [4] has been adopted a transform the fuzzy transportation problem. The idea is to transform a problem with fuzzy parameters in the form of Linear programming problem and solve it by the Zero Suffix Method [2].…”

Section: Introductionmentioning

confidence: 99%

Solving Fuzzy Transportation Problem using Zero Suffix and Robust Ranking Methodology

Fegade¹,

Muley²

2012

IOSRJEN

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Section: Introductionmentioning

confidence: 99%

Solving Fuzzy Transportation Problem using Zero Suffix and Robust Ranking Methodology

Fegade¹,

Muley²

2012

IOSRJEN

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“…Hence, it is possible that some coefficients of the problem in the objective function, technical coefficients the right hand side coefficients or decision making variables be fuzzy number [7], [8], [12] and [14]. Here, the linear programming problems with fuzzy numbers in the objective function.…”

Section: Definition 42 Fuzzy Linear Programmingmentioning

confidence: 99%

“…[1], [9], [10] and [16] define linear programming problems with fuzzy numbers and simplex method is used for finding the optimal solution of the fuzzy problem. [12] compute improved fuzzy optimal Hungarian assignment problems with fuzzy numbers by applying Robust's ranking techniques to transform the fuzzy assignment problem to a crisp one. [11] presented a fuzzy approach to several linear and nonlinear inventory models.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Multi-objective Linear Programming Problems Sensitivity Analyses

Pattnaik¹

2013

J. Math. Computer Sci.

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Thanks to global competition, faster product development, and increasingly flexible manufacturing systems, an unprecedented number and variety of products are competing in markets ranging from apparel and toys to power tools and computers. The dramatic increase in demand unpredictability is fairly recent, in practice, there are many problems in which all decision parameters are fuzzy numbers, and such problems are usually solved by either probabilistic programming or multiobjective programming methods. Unfortunately all these methods have shortcomings. In this note, using the concept of comparison of fuzzy numbers, a very effective method is introduced for solving these problems. This paper extends linear programming based problem in fuzzy environment. With the problem assumptions, the optimal solution can still be theoretically solved using simplex based method. To handle the fuzzy decision variables can be initially generated and then solved and improved sequentially using the fuzzy decision approach by introducing Robust's ranking technique. The proposed procedure was programmed and the three dimensional mesh plot diagram is represented through MATLAB (R2009a) version software. The model is illustrated with numerical example and a sensitivity analyses are of the optimal solution is studied with respect to changes in parameter which incorporates all concepts of a fuzzy arithmetic approach to draw managerial insights.

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“…Gani et al [12] obtained the fuzzy optimal solution of fuzzy transportation problems having parameters as trapezoidal fuzzy numbers. For more details see [1,8,9,10,16,17,19,23,27].…”

Section: Introductionmentioning

confidence: 99%

Unbalanced Transportation Problems in Fuzzy Environment using Centroid Ranking Technique

Saini¹,

Sangal²,

Prakash³

2015

IJCA

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In the present paper a new method proposed for the solution of unbalanced transportation problems with Trapezoidal Shaped Generalized Fuzzy Numbers (T P SGFN) using centroid ranking technique via zero suffix method. Numerical examples show that this technique offers effective way for handing the unbalanced fuzzy transportation problem with imprecise render and requirement condition. The advantage of the proposed method over the existing methods is to find fuzzy optimal solution does not involve only the dummy destination. The method has simple algorithms for computed and the study is checked with numerical examples.

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Computing Improved Fuzzy Optimal Hungarian Assignment Problems with Fuzzy Costs Under Robust Ranking Techniques.

Abstract: Assignment problem (AP) is a well known topic and is

Cited by 25 publications

References 13 publications

Solving Fuzzy Transportation Problem using Zero Suffix and Robust Ranking Methodology

Solving Fuzzy Transportation Problem using Zero Suffix and Robust Ranking Methodology

Fuzzy Multi-objective Linear Programming Problems Sensitivity Analyses

Unbalanced Transportation Problems in Fuzzy Environment using Centroid Ranking Technique

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