An Efficient Approach based on Wu’s Method for Solving Fully Fuzzy Polynomial Equations System

Subject Areas : Fuzzy Optimization and Modeling Journal

Hamed Farahani ¹ , Mohammad Javad Ebadi ² , Seyed Ahmad Edalatpanah ³

1 - Chabahar Maritime University.
2 - Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
3 - Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran

Received: 2023-06-04 Accepted : 2023-10-29 Published : 2024-02-10

Keywords: Fully Fuzzy Polynomial, Equations Systems, Fuzzy Numbers, Characteristic Sets, Wu’s Algorithm, Positive Solutions,

Abstract :

This article introduces a productive algebraic approach to identifying positive solutions for a system of fully fuzzy polynomial equations (FFPEs). To achieve this, the FFPEs system is transformed into a comparable system of crisp polynomial equations. The Wu's algorithm is then employed to solve the set of crisp polynomial equations as the solution method. This algorithm results in the solution of characteristic sets that are readily solvable. A key benefit of the proposed method is that all the solutions are obtained simultaneously. The article concludes by presenting some practical examples to demonstrate the efficacy of the proposed method.

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