Finding Fuzzy Inverse Matrix Using Wu’s Method
Publish place: Journal of Mahani Mathematical Research، Vol: 10، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 178
This Paper With 16 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_KJMMRC-10-1_004
تاریخ نمایه سازی: 2 شهریور 1400
Abstract:
In this study, the concept of an inverse matrix including fuzzy number elements is extended. Such a concept may be performed in the modeling of uncertain and imprecise real-world problems. The problem of finding a fuzzy inverse matrix is converted to a problem to solve a system of fuzzy polynomial equations. Here, a fuzzy system is transformed to an equivalent system of crisp polynomial equations. The solution of the system of crisp polynomial equations is calculated using Wu’s method and is introduced a criterion for invertibility of a fuzzy matrix (FM). In addition, an algorithm is proposed to calculate the fuzzy inverse matrix. The most important advantage of the presented method is that it achieves whole inverse entries of an FM, simultaneously. In the end, we give some illustrative examples to show the efficiency and proficiency of our proposed algorithm.
Keywords:
Fuzzy number , Fuzzy matrix , Fuzzy identity matrix , Fuzzy linear equation system (FLES) , Wu's algorithm
Authors
Hamed Farahani
Department of mathematics, Chabahar maritime university. Chabahar, Iran
Mohammad Javad Ebadi
Department of Mathematics, Chabahar Maritime University, Chabahar, Iran
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :