System of linear equations in imprecise environment
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@Article{JICS-12-064,
author = {Sanhita Banerjee and Tapan Kumar Roy},
title = {System of linear equations in imprecise environment},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {12},
number = {1},
pages = {064--072},
abstract = {The paper discusses linear systems in imprecise environment. In this paper we have developed
the solution procedure of system of linear equations with coefficients and the right-hand side as fuzzy and
intuitionistic fuzzy numbers. We have also calculated the necessary and sufficient conditions for the
existence of the solutions by developing some theorems. We have solved the system by using the concept of
Strong and Weak solution with numerical example.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22499.html}
}
TY - JOUR
T1 - System of linear equations in imprecise environment
AU - Sanhita Banerjee and Tapan Kumar Roy
JO - Journal of Information and Computing Science
VL - 1
SP - 064
EP - 072
PY - 2024
DA - 2024/01
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22499.html
KW - fuzzy system of linear equation (FSLE)
KW - intuitionistic fuzzy system of linear equation (IFSLE),
trapezoidal fuzzy number (TrFN)
KW - trapezoidal intuitionisic fuzzy number (TrIFN)
KW - strong and weak solutions.
AB - The paper discusses linear systems in imprecise environment. In this paper we have developed
the solution procedure of system of linear equations with coefficients and the right-hand side as fuzzy and
intuitionistic fuzzy numbers. We have also calculated the necessary and sufficient conditions for the
existence of the solutions by developing some theorems. We have solved the system by using the concept of
Strong and Weak solution with numerical example.
Sanhita Banerjee and Tapan Kumar Roy. (2024). System of linear equations in imprecise environment.
Journal of Information and Computing Science. 12 (1).
064-072.
doi:
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