An efficient approach based on Wu's method for solving fully fuzzy polynomial equations system

Fuzzy Optimization and Modeling Journal

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 آبان 1402

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2023.1987443.1088

نویسندگان

Hamed Farahani^{* 1}؛ Mohammad Javad Ebadi²؛ S A Edalatpanah³

¹Chabahar Maritime University.

²Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

³Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran

چکیده

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.

کلیدواژه‌ها

Fully fuzzy polynomial equations systems؛ Fuzzy numbers؛ Characteristic sets؛ Wu'؛ s algorithm؛ Positive solutions