Computer and Modernization ›› 2016, Vol. 0 ›› Issue (9): 21-24.doi: 10.3969/j.issn.1006-2475.2016.09.005

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Matrix Algorithm for Minimum Spanning Tree Problem on Fuzzy Weighted Network

  

  1. (Institute of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China)
  • Received:2016-04-22 Online:2016-09-12 Published:2016-09-13

Abstract:

The minimum spanning tree problem on fuzzy weighted network was studied. Based on the weighted ranking of fuzzy number’s structured element and the improved weight matrix method for the classical minimum spanning tree problem, a matrix algorithm was proposed for the minimum spanning tree problem on this fuzzy weighted network whose weight is triangular fuzzy number. And its complexity and correctness was analyzed.  Experimental result shows that the algorithm is effective.

Key words: fuzzy weighted network, triangular fuzzy number, fuzzy structured element, weight matrix method, minimum spanning tree

CLC Number: