TY - JOUR ID - 2865 TI - Finding Fuzzy Inverse Matrix Using Wu’s Method JO - Journal of Mahani Mathematical Research JA - JMMR LA - en SN - 2251-7952 AU - Farahani, Hamed AU - Ebadi, Mohammad Javad AD - Department of mathematics, Chabahar maritime university. Chabahar, Iran AD - Department of Mathematics, Chabahar Maritime University, Chabahar, Iran Y1 - 2021 PY - 2021 VL - 10 IS - 1 SP - 37 EP - 52 KW - Fuzzy number KW - Fuzzy matrix KW - Fuzzy identity matrix KW - Fuzzy linear equation system (FLES) KW - Wu's algorithm DO - 10.22103/jmmrc.2021.16716.1127 N2 - 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. UR - https://jmmrc.uk.ac.ir/article_2865.html L1 - https://jmmrc.uk.ac.ir/article_2865_1fc83a5f03fa23ca83903921ce9aec46.pdf ER -