In this paper, the basic principle and definitions for nonlinear integral equation of a crisp function over a fuzzy interval have been discussed. a numerical technique method and some algorithm for solving non-linear of crisp valued function over fuzzy interval using the domain and range partitions of the membership functions of the fuzzy interval . the numerical solution of the crisp function over the fuzzy interval using the LR-type representation of fuzzy interval. Some numerical examples are prepared to show the efficiency and accuracy of the methods.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 4) |
| DOI | 10.11648/j.ajam.20150304.15 |
| Page(s) | 189-200 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Fuzzy Number, Volterra Non-linear Integral Equation of Second Kind, Trapezoidal Quadrature Method, Fuzzy Interval, LR-type of Fuzzy Interval
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APA Style
Alan Jalal Abdulqader. (2015). Crisp Function of Integral Nonlinaer Equation of the Second Kind over the Fuzzy Interval with Application. American Journal of Applied Mathematics, 3(4), 189-200. https://doi.org/10.11648/j.ajam.20150304.15
ACS Style
Alan Jalal Abdulqader. Crisp Function of Integral Nonlinaer Equation of the Second Kind over the Fuzzy Interval with Application. Am. J. Appl. Math. 2015, 3(4), 189-200. doi: 10.11648/j.ajam.20150304.15
AMA Style
Alan Jalal Abdulqader. Crisp Function of Integral Nonlinaer Equation of the Second Kind over the Fuzzy Interval with Application. Am J Appl Math. 2015;3(4):189-200. doi: 10.11648/j.ajam.20150304.15
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Download@article{10.11648/j.ajam.20150304.15,
author = {Alan Jalal Abdulqader},
title = {Crisp Function of Integral Nonlinaer Equation of the Second Kind over the Fuzzy Interval with Application},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {4},
pages = {189-200},
doi = {10.11648/j.ajam.20150304.15},
url = {https://doi.org/10.11648/j.ajam.20150304.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150304.15},
abstract = {In this paper, the basic principle and definitions for nonlinear integral equation of a crisp function over a fuzzy interval have been discussed. a numerical technique method and some algorithm for solving non-linear of crisp valued function over fuzzy interval using the domain and range partitions of the membership functions of the fuzzy interval . the numerical solution of the crisp function over the fuzzy interval using the LR-type representation of fuzzy interval. Some numerical examples are prepared to show the efficiency and accuracy of the methods.},
year = {2015}
}
TY - JOUR T1 - Crisp Function of Integral Nonlinaer Equation of the Second Kind over the Fuzzy Interval with Application AU - Alan Jalal Abdulqader Y1 - 2015/07/18 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150304.15 DO - 10.11648/j.ajam.20150304.15 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 189 EP - 200 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150304.15 AB - In this paper, the basic principle and definitions for nonlinear integral equation of a crisp function over a fuzzy interval have been discussed. a numerical technique method and some algorithm for solving non-linear of crisp valued function over fuzzy interval using the domain and range partitions of the membership functions of the fuzzy interval . the numerical solution of the crisp function over the fuzzy interval using the LR-type representation of fuzzy interval. Some numerical examples are prepared to show the efficiency and accuracy of the methods. VL - 3 IS - 4 ER -
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