Canonical representation for approximating solution of fuzzy polynomial equations

Subject Areas : Operation Research

م.  صالح نزاد ¹ (Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN)
س.  عباس بندی ² (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran)
م.  مصلح ³ (Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN)
م.  اوتادی ⁴ (Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN)

Received: 2010-04-30 Accepted : 2010-06-30 Published : 2010-06-01

Keywords: fuzzy number, Canonical representation, Polynomial equations,

Abstract :

In this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters Value, Ambiguity and Fuzziness.

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