Fuzzy Shortest Path Problem Based on Index Ranking
β Scribed by Elizabeth, S.; Sujatha, L.
- Book ID
- 120239346
- Publisher
- Canadian Center of Science and Education
- Year
- 2011
- Weight
- 650 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1916-9795
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This paper deals with a shortest path problem on a network in which a fuzzy number, instead of a real number, is assigned to each arc length. Such a problem is "ill-posed" because each arc cannot be identiΓΏed as being either on the shortest path or not. Therefore, based on the possibility theory, we
We concentrate on a shortest path problem on a network in which a fuzzy number, instead of a real number, is assigned to each arc length. Introducing an order relation between fuzzy numbers based on "fuzzy min", a nondominated path or Pareto Optimal path from the speciΓΏed node to every other node is