International Journal of Applied Operational Research
ژورنال بین المللی پژوهش عملیاتی
International Journal of Applied Operational Research - An Open Access Journal
Basic Sciences
http://ijorlu.liau.ac.ir
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admin
2251-6867
2251-9432
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8888
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en
jalali
1390
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gregorian
2011
10
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online
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fulltext
fa
Fully Fuzzy Linear Systems
عمومى
General
پژوهشي
Research
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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http://ijorlu.liau.ac.ir/browse.php?a_code=A-10-2-9&slc_lang=fa&sid=1
T. Allahviranloo
`100319475328460072`

100319475328460072
Yes
N. Mikaeilvand
`100319475328460073`

100319475328460073
No
F. Hoseinzadeh Lotfi
`100319475328460074`

100319475328460074
No
. Fallah Jelodar
`100319475328460075`

100319475328460075
No