Shortest Path Problem in a Type-2 Fuzzy Weighted Graph

타입-2 퍼지 가중치 그래프에서의 최단경로문제

  • Lee, Seungsoo (Department of EECS, Division of Computer Science, KAIST) ;
  • Lee, Kwang H. (Department of EECS, Division of Computer Science, KAIST)
  • Published : 2001.12.01

Abstract

Constructing a shortest path on a graph is a fundamental problem in the area of graph theory. In an application where we cannot exactly determine the weights of edges, fuzzy weights can be used instead of crisp weights, and Type-2 fuzzy weights will be more suitable if this uncertainty varies under some conditions. In this paper, shortest path problem in type-1 fuzzy weighted graphs is extended for type-2 fuzzy weighted graphes. A solution is also given based on possibility theory and extension principle.

Keywords