A Convolution-Based Method For Calculating The Sum Of Three Z-Numbers In Uncertain Environments

Authors

  • Forozan Shahmansoory, Mojdeh.Afshar Kermani, Nazanin Ahmadi

DOI:

https://doi.org/10.63278/mme.v30i4.1875

Keywords:

Z-number, convolution, uncertainty, fuzzy computation, reliability.

Abstract

This paper presents a convolution-based method for calculating the sum of three Z-numbers in uncertain environments.

Given the computational complexity of summing more than two Z-numbers using traditional numerical methods, this study proposes a simplified technique that combines the convolution of probability functions with Zadeh’s extension principle. The results from solving numerical examples demonstrate that the proposed method can produce outcomes with acceptable accuracy, although some dependence on the initial parameters of the probability distribution remains.

This method is particularly well-suited for engineering applications and seismic analysis, where data are uncertain and reliability is variable.

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Published

2024-12-12

How to Cite

Forozan Shahmansoory, Mojdeh.Afshar Kermani, Nazanin Ahmadi. 2024. “A Convolution-Based Method For Calculating The Sum Of Three Z-Numbers In Uncertain Environments”. Metallurgical and Materials Engineering 30 (4):844-55. https://doi.org/10.63278/mme.v30i4.1875.

Issue

Vol. 30 No. 4 (2024)

Section

Research

License

Copyright (c) 2024 Forozan Shahmansoory, Mojdeh.Afshar Kermani, Nazanin Ahmadi

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