A new metric for LR fuzzy numbers and its application in fuzzy linear systems
In this paper, a metric based on modified Euclidean metric on interval numbers, for LR fuzzy numbers with fixed \(L(\cdot)\) and \(R(\cdot)\) is introduced. Then, it is applied for solving LR fuzzy linear system (LR-FLS) with fuzzy right-hand side, so that LR-FLS is transformed to the minimization problem. The solution of the mentioned non-linear programming problem is our favorite fuzzy number vector solution. Two constructive Algorithms are proposed in detail and the method is illustrated by solving several numerical examples.
lr fuzzy linear system the minimization problem lr fuzzy number vector modified euclidean distance