A Taylor Series based Fuzzy Mathematical Approach for Multi Objective Linear Fractional Programming Problem with Fuzzy Parameters

Pramanik, Surapati; Maiti, Indrani; Mandal, Tamal

doi:10.5120/ijca2018917154

Cited by 5 publications

(3 citation statements)

References 36 publications

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“…After the programming is complete, it is tested to find out whether the program was made successful or not. [1][3] [9] This test uses MATLAB simulation with Fuzzy Logic[2] [10]. From the test it was found that the program managed to run well with the program [12] [15]flow as shown in the following Fig.2:…”

Section: Results and Discussion 31 Fuzzy Logic Testingmentioning

confidence: 99%

Application of Fuzzy Logic Algorithm for Hybrid Car Usage Time

Katuuk¹,

Budiman²,

Noya³

2018

IJCA

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Electricity generating systems in motorized vehicles use motor rotation with gasoline or diesel fuel to supply voltage to electronic devices and batteries as a backup power source.A good battery performance, will support the device that is supported while the amount of energy that can be stored by the battery is limited, the battery will experience a charge and discharge cycle. Therefore, there must be continuous battery charging needed so that the battery erformance can reach the maximum.One solution to developing the hybrid method in charging batteries is to utilize two sources of electricity, namely charging from the vehicle engine and wind power plants that are obtained when the vehicle is running. The method used is the fuzzy logic method by assessing the input and output system from the observations. In this research will be carried out the design of hybrid power plants for the use of load with time simulation to supply the load in order to obtain accurate battery usage time modeling so as to make the battery not quickly damaged. The results of the hybrid generator design on four-wheeled motor vehicles can maintain the source of electricity in the battery and use fuel efficiently.

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Section: Results and Discussion 31 Fuzzy Logic Testingmentioning

confidence: 99%

Application of Fuzzy Logic Algorithm for Hybrid Car Usage Time

Katuuk¹,

Budiman²,

Noya³

2018

IJCA

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“…Fractional programming problem (FPP) is a special kind of non-linear programming problems in which the objective function is a ratio two functions with the constraints. Fractional model arises in decision making such as construction planning, economic, and commercial planning, health care and hospital planning 1 .…”

Section: Introductionmentioning

confidence: 99%

An Efficient Algorithm for Fuzzy Linear Fractional Programming Problems via Ranking Function

Mitlif

2022

Baghdad Sci.J

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In many applications such as production, planning, the decision maker is important in optimizing an objective function that has fuzzy ratio two functions which can be handed using fuzzy fractional programming problem technique. A special class of optimization technique named fuzzy fractional programming problem is considered in this work when the coefficients of objective function are fuzzy. New ranking function is proposed and used to convert the data of the fuzzy fractional programming problem from fuzzy number to crisp number so that the shortcoming when treating the original fuzzy problem can be avoided. Here a novel ranking function approach of ordinary fuzzy numbers is adopted for ranking of triangular fuzzy numbers with simpler and easier calculations as well as shortening in the procedures. The fuzzy fractional programming problem is the first reduced to a fractional programming problem and then solved with the technique to obtain the optimal solution. It has a power to give a best solution for supporting the solution theory proposed in this work, some numerical fuzzy fractional programming problem are included to ensure the advantage, efficiency and accuracy of the suggested algorithm. In addition, this research paper describes a comparison between our optimal solutions with other existing solutions for inequalities constrains fuzzy fractional program.

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“…Narasimhan 11 grounded the goal programming using deviational variables in fuzzy environment. Fuzzy goal programming (FGP) has been enriched by several authors such as Hannan, 12 Ignizio, 13 Tiwari, Dharma & Rao, 14,15 Mohamed, 16 Pramanik, 17,18 Pramanik & Roy, [19][20][21] Pramanik & Dey, 22 Pramanik et al, 23 Tabrizi, Shahanaghi & Jabalameli. 24 Pramanik & Roy [25][26][27] studied fuzzy goal programming strategy for transportation problems.…”

Section: Introductionmentioning

confidence: 99%

Neutrosophic number goal programming for multi-objective linear programming problem in neutrosophic number environment

Pramanik¹,

Banerjee²

2018

MOJCRR

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Purpose: The purpose of the paper is to propose goal programming strategy to multiobjective linear programming problem with neutrosophic numbers which we call NN-GP. The coefficients of objective functions and the constraints are considered as neutrosophic numbers of the form (m+nI), where m, n are real numbers and I denotes indeterminacy. Design: For this study, the neutrosophic numbers are converted into interval numbers. Then, the problem reduces to multi-objective linear interval programming problem. Employing interval programming technique, the target interval of the objective function is determined. For the sake of achieving the target goals, the goal achievement functions are constructed. Three new neutrosophic goal programming models are developed using deviational variables to solve the reduced problem. Findings: Realistic optimization problem involves multiple objectives. Crisp multiobjective optimization problems involve deterministic objective functions and/or constrained functions. However, uncertainty involves in real problems. Hence, several strategies dealing with uncertain multi-objective programming problems have been proposed in the literature. Multi-objective linear programming has evolved along with different paradigms and in different environment. Goal programming and fuzzy goal programming have been widely used to solve the multi-objective linear programming problems. In this paper goal programming in neutrosophic number environment has been developed. It deals with effectively multi-objective linear programming problem with neutrosophic numbers. We solve a numerical example to illustrate the proposed NN-GP strategy. Originality: There are different Schools in optimization field and each has their own distinct strategy. In neutrosophic number environment goal programming for multiobjective programming problem is proposed here at first.

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A Taylor Series based Fuzzy Mathematical Approach for Multi Objective Linear Fractional Programming Problem with Fuzzy Parameters

Cited by 5 publications

References 36 publications

Application of Fuzzy Logic Algorithm for Hybrid Car Usage Time

Application of Fuzzy Logic Algorithm for Hybrid Car Usage Time

An Efficient Algorithm for Fuzzy Linear Fractional Programming Problems via Ranking Function

Neutrosophic number goal programming for multi-objective linear programming problem in neutrosophic number environment

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