:: Volume 1, Issue 1 (10-2011) ::
2011, 1(1): 35-49 Back to browse issues page
Fully Fuzzy Linear Systems
T. Allahviranloo , N. Mikaeilvand, F. Hoseinzadeh Lotfi, . Fallah Jelodar
Abstract:   (8172 Views)
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.
Full-Text [PDF 206 kb]   (3270 Downloads)    
Type of Study: Research | Subject: General
Received: 2011/10/31 | Published: 2011/10/15

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Volume 1, Issue 1 (10-2011) Back to browse issues page