%0 Journal Article
%A T. Allahviranloo,
%A N. Mikaeilvand,
%A F. Hoseinzadeh Lotfi,
%A . Fallah Jelodar,
%T Fully Fuzzy Linear Systems
%J International Journal of Applied Operational Research
%V 1
%N 1
%U http://ijorlu.liau.ac.ir/article-1-46-en.html
%R
%D 2011
%K
%X As can be seen from the definition of extended operations on fuzzy numbers, subtraction and division of fuzzy numbers are not the inverse operations to addition and multiplication . Hence, to solve the fuzzy equations or a fuzzy system of linear equations analytically, we must use methods without using inverse operators. In this paper, a novel method to find the solutions in which 0 is not the inner point of supports, of fully fuzzy linear systems (shown as FFLS ) is proposed, if they exist by an analytic approach. The system's parameters were splitted into two groups of nonpositive and nonnegative by solving a multi objective linear programming problem, MOLP , and employing an embedding method to transform n× n FFLS to 2n× 2n parametric form linear system and hence, transforming operations on fuzzy numbers to operations on functions. And finally, numerical examples are used to illustrate this approach. Keywords: Fuzzy Numbers, Fully Fuzzy Linear System, Systems of Fuzzy Linear Equations, Embedding Method, Splitting Method.
%> http://ijorlu.liau.ac.ir/article-1-46-en.pdf
%P 35-49
%& 35
%!
%9 Research
%L A-10-2-9
%+
%G eng
%@ 2251-6867
%[ 2011