Publication detail

Fuzzy Shortest Paths Approximation for Solving the Fuzzy Steiner Tree Problem in Graphs

ŠEDA, M.

Czech title

Řešení fuzzy Steinerova problému v grafech aproximací fuzzy nejkratšími cestami

English title

Fuzzy Shortest Paths Approximation for Solving the Fuzzy Steiner Tree Problem in Graphs

Type

journal article - other

Language

en

Original abstract

In this paper, we deal with the Steiner tree problem (STP) on a graph in which a fuzzy number, instead of a real number, is assigned to each edge. We propose a modification of the shortest paths approximation based on the fuzzy shortest paths (FSP) evaluations. Since a fuzzy min operation using the extension principle leads to nondominated solutions, we propose another approach to solving the FSP using Cheng's centroid point fuzzy ranking method.

Czech abstract

V příspěvku se zabýváme Steinerovým problémem v grafech, kde ohodnocení hran grafu není dáno deterministicky, ale je vyjádřeno fuzzy čísly. Navrhujeme modifikaci aproximace nejkratšími cestami založenou na výpočtu fuzzy nejkratších cest. Protože operace určení minima na fuzzy číslech využívající princip rozšíření vede k nedominovaným řešením, navrhujeme jiný přístup využívající Chengovu metodu centrálního bodu pro srovnávání fuzzy čísel.

English abstract

In this paper, we deal with the Steiner tree problem (STP) on a graph in which a fuzzy number, instead of a real number, is assigned to each edge. We propose a modification of the shortest paths approximation based on the fuzzy shortest paths (FSP) evaluations. Since a fuzzy min operation using the extension principle leads to nondominated solutions, we propose another approach to solving the FSP using Cheng's centroid point fuzzy ranking method.

Keywords in Czech

minimální kostra, Steinerův strom, heuristiky, fuzzy číslo

Keywords in English

minimum spanning tree, Steiner tree, heuristics, fuzzy number

RIV year

2006

Released

01.08.2006

ISSN

1305-5313

Journal

Transactions on Engineering, Computing and Technology

Volume

14

Number

8

Pages count

5

BIBTEX


@article{BUT43700,
  author="Miloš {Šeda},
  title="Fuzzy Shortest Paths Approximation for Solving the Fuzzy Steiner Tree Problem in Graphs",
  journal="Transactions on Engineering, Computing and Technology",
  year="2006",
  volume="14",
  number="8",
  month="August",
  issn="1305-5313"
}