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On Parametric Fuzzy Linear Programming Formulated by a Fractal

Rafid A. Al-Saeedi1, Rabha W. Ibrahim2, Rafida M. Elobaid3,*

1 School of Mathematical Sciences, University Sciences Malaysia 11800 USM, Penang, Malaysia
2 IEEE: 94086547, Kuala Lumpur, 59200, Malaysia
3 Department of General Sciences, Prince Sultan University, Riyadh, Saudi Arabia

* Corresponding Author: Rafida M. Elobaid. Email: email

(This article belongs to the Special Issue: Recent Trends in Computational Methods for Differential Equations)

Intelligent Automation & Soft Computing 2021, 30(3), 1073-1084. https://doi.org/10.32604/iasc.2021.018011

Abstract

Fractal strategy is an important tool in manufacturing proposals, including computer design, conserving, power supplies and decorations. In this work, a parametric programming, analysis is proposed to mitigate an optimization problem. By employing a fractal difference equation of the spread functions (local fractional calculus operator) in linear programming, we aim to analyze the restraints and the objective function. This work proposes a new technique of fractal fuzzy linear programming (FFLP) model based on the symmetric triangular fuzzy number. The parameter fuzzy number is selected from the fractal power of the difference equation. Note that this number indicates the fractal parameter, denoting by λ ε [0, 1]. Accordingly, we specify the objective function to the fractional case, utilizing the fractal difference equation. We apply the suggested model in an application under the oil market. Based on the fractal fuzzy set theory, the fuzzy demand, transportations, management, inventory and buying cost are explained and formulated in a unique fractal fuzzy linear programming model. This model is presented to obtain a maximal profit production approach with an evaluation. The costs indicate that the proposed model can bring valued solutions for developing profit-effective oil refinery methods in a fuzzy fractal situation. Some examples are illustrated in the sequel.

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APA Style
Al-Saeedi, R.A., Ibrahim, R.W., Elobaid, R.M. (2021). On parametric fuzzy linear programming formulated by a fractal. Intelligent Automation & Soft Computing, 30(3), 1073-1084. https://doi.org/10.32604/iasc.2021.018011
Vancouver Style
Al-Saeedi RA, Ibrahim RW, Elobaid RM. On parametric fuzzy linear programming formulated by a fractal. Intell Automat Soft Comput . 2021;30(3):1073-1084 https://doi.org/10.32604/iasc.2021.018011
IEEE Style
R.A. Al-Saeedi, R.W. Ibrahim, and R.M. Elobaid "On Parametric Fuzzy Linear Programming Formulated by a Fractal," Intell. Automat. Soft Comput. , vol. 30, no. 3, pp. 1073-1084. 2021. https://doi.org/10.32604/iasc.2021.018011



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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