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Solving Discounting Problem Using Piece-Wise Quadratic Fuzzy Numbers: Discounting Problem

Solving Discounting Problem Using Piece-Wise Quadratic Fuzzy Numbers: Discounting Problem

Hemiden Abd El-Wahed Khalifa, Pavan Kumar
Copyright: © 2021 |Volume: 10 |Issue: 4 |Pages: 13
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781799862437|DOI: 10.4018/IJFSA.2021100101
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MLA

Khalifa, Hemiden Abd El-Wahed, and Pavan Kumar. "Solving Discounting Problem Using Piece-Wise Quadratic Fuzzy Numbers: Discounting Problem." IJFSA vol.10, no.4 2021: pp.1-13. http://doi.org/10.4018/IJFSA.2021100101

APA

Khalifa, H. A. & Kumar, P. (2021). Solving Discounting Problem Using Piece-Wise Quadratic Fuzzy Numbers: Discounting Problem. International Journal of Fuzzy System Applications (IJFSA), 10(4), 1-13. http://doi.org/10.4018/IJFSA.2021100101

Chicago

Khalifa, Hemiden Abd El-Wahed, and Pavan Kumar. "Solving Discounting Problem Using Piece-Wise Quadratic Fuzzy Numbers: Discounting Problem," International Journal of Fuzzy System Applications (IJFSA) 10, no.4: 1-13. http://doi.org/10.4018/IJFSA.2021100101

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Abstract

The discounting problem is one of the important aspects in investment, portfolio selection, purchasing with credit, and many other financial operations. In this paper, a discounting problem using piecewise quadratic fuzzy numbers is proposed. The implementation of piecewise quadratic fuzzy numbers is described based on such operations. Fuzzy arithmetic and interval number arithmetic are used for computation. The close interval approximation of piecewise quadratic fuzzy numbers is used for solving the proposed discounting problem. This research article addresses the discounted investment for Year 1, Year 2, and Year 3. Additionally, the authors determine the cumulative discounted investment for different values of the parameter α ranging from 0 to 1. A discounting problem using piecewise quadratic fuzzy numbers is solved as a numerical example to illustrate the proposed procedure.

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