A new metric for L-R fuzzy numbers and its application in fuzzy linear systems

作者：Allahviranloo T; Nuraei R; Ghanbari M^*; Haghi E; Hosseinzadeh A A

来源：Soft Computing, 2012, 16(10): 1743-1754.

DOI：10.1007/s00500-012-0858-9

• L-R fuzzy linear system
• L-R fuzzy number vector
• The minimization problem
• Modified Euclidean distance

In this paper, a metric based on modified Euclidean metric on interval numbers, for L-R fuzzy numbers with fixed and is introduced. Then, it is applied for solving L-R fuzzy linear system (L-R-FLS) with fuzzy right-hand side, so that L-R-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.

• 出版日期2012-10