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Fully Fuzzy Linear Systems
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T. Allahviranloo   , N. Mikaeilvand , F. Hoseinzadeh Lotfi , . Fallah Jelodar |
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Abstract: (11676 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. |
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Full-Text [PDF 206 kb]
(5275 Downloads)
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Type of Study: Research |
Subject:
General
Received: 2011/10/31 | Published: 2011/10/15
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