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Fully Fuzzy Linear Systems
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نویسنده
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Allahviranloo T. ,Mikaeilvand N. ,Hoseinzadeh Lotfi F. ,Fallah Jelodar M.
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منبع
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international journal of applied operational research - 2011 - دوره : 1 - شماره : 1 - صفحه:35 -48
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چکیده
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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 fflsn× to nn 22 × 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.
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کلیدواژه
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Fuzzy Numbers ,Fully Fuzzy Linear System ,Systems of Fuzzy Linear Equations ,Embedding Method ,Splitting Method
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آدرس
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islamic azad university, Department of Mathematics, ایران, islamic azad university, Department of Mathematics, ایران, islamic azad university, Department of Mathematics, ایران, islamic azad university, Department of Mathematics, ایران
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پست الکترونیکی
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mikaeilzand@aol.com
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Authors
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