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Genetic algorithm for solving fuzzy shortest path problem in a network with mixed fuzzy arc lengths

Mahdavi, I ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1063/1.3592476
  3. Publisher: 2011
  4. Abstract:
  5. We are concerned with the design of a model and an algorithm for computing a shortest path in a network having various types of fuzzy arc lengths. First, we develop a new technique for the addition of various fuzzy numbers in a path using α -cuts by proposing a linear least squares model to obtain membership functions for the considered additions. Then, using a recently proposed distance function for comparison of fuzzy numbers. we propose a new approach to solve the fuzzy APSPP using of genetic algorithm. Examples are worked out to illustrate the applicability of the proposed model
  6. Keywords:
  7. A-cut ; Distance function ; Genetic Algorithm ; Regression ; Shortest path
  8. Source: AIP Conference Proceedings, 2 December 2010 through 4 December 2010, Sarawak ; Volume 1337 , 2011 , Pages 265-270 ; 0094243X (ISSN) ; 9780735408937 (ISBN)
  9. URL: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.3592476