A New Approach to Solve Fuzzy System of Linear Equations
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Authors
S. Nayak
- Department of Mathematics, National Institute of Technology, Rourkela, Odisha -769008, India.
S. Chakraverty
- Department of Mathematics, National Institute of Technology, Rourkela, Odisha -769008, India.
Abstract
System of linear equations is a common mathematical phenomenon which occurs in science and
engineering problems. But fuzzy systems of linear equations are obtained when we deal with
uncertain problems. Various methods are proposed by different authors to solve linear equations
for both fuzzy and fully fuzzy systems. Here we have developed an alternative and straight
forward arithmetic to handle uncertain interval and fuzzy values. In this arithmetic we write the
interval into crisp form by some transformation and used the mathematical limit concept. Fuzzy
values are converted into \(\alpha\)-cut form and then the monotonic functions are operated through
the proposed method. Two algorithms have proposed to solve Fully Fuzzy Linear System (FFLS)
of equations. Finally some example problems are considered for both fuzzy and fully fuzzy
system of linear equations and the obtained results are compared, which are found to be in good
argument.
Share and Cite
ISRP Style
S. Nayak, S. Chakraverty, A New Approach to Solve Fuzzy System of Linear Equations, Journal of Mathematics and Computer Science, 7 (2013), no. 3, 205-212
AMA Style
Nayak S., Chakraverty S., A New Approach to Solve Fuzzy System of Linear Equations. J Math Comput SCI-JM. (2013); 7(3):205-212
Chicago/Turabian Style
Nayak, S., Chakraverty, S.. "A New Approach to Solve Fuzzy System of Linear Equations." Journal of Mathematics and Computer Science, 7, no. 3 (2013): 205-212
Keywords
- Uncertainty
- Triangular Fuzzy Number (TFN)
- Trapezoidal Fuzzy Number (TRFN)
- Fuzzy linear system of equations
MSC
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