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Type 2 Fully Fuzzy Linear Programming

Type 2 Fully Fuzzy Linear Programming

Mohamed El Alaoui
Copyright: © 2021 |Volume: 10 |Issue: 4 |Pages: 20
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781799862437|DOI: 10.4018/IJFSA.2021100103
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MLA

El Alaoui, Mohamed. "Type 2 Fully Fuzzy Linear Programming." IJFSA vol.10, no.4 2021: pp.37-56. http://doi.org/10.4018/IJFSA.2021100103

APA

El Alaoui, M. (2021). Type 2 Fully Fuzzy Linear Programming. International Journal of Fuzzy System Applications (IJFSA), 10(4), 37-56. http://doi.org/10.4018/IJFSA.2021100103

Chicago

El Alaoui, Mohamed. "Type 2 Fully Fuzzy Linear Programming," International Journal of Fuzzy System Applications (IJFSA) 10, no.4: 37-56. http://doi.org/10.4018/IJFSA.2021100103

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Abstract

Since its inception, fuzzy linear programming (FLP) has proved to be a more powerful tool than classical linear programming to optimize real-life problems dealing with uncertainty. However, the proposed models are partially fuzzy; in other words, they suppose that only some aspects can be uncertain, while others have to be crisp. Furthermore, the few methods that deal with fully fuzzy problems use Type 1 fuzzy membership function, while Type 2 fuzzy logic captures the uncertainty in a more suitable way. This work presents a fully fuzzy linear programming approach in which all parameters are represented by unrestricted Interval Type 2 fuzzy numbers (IT2FN) and variables by positive IT2FN. The treated comparative results show that the proposed achieves a better optimized function while permitting consideration of both equality and inequality constraints.

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