Steiner µ Distance in Fuzzy Graphs with Application
G.Priscilla Pacifica1, J.Jenit Ajitha2
1Dr.G.Priscilla Pacifica*, Department of Mathematics, St.Mary’s College(Autonomous), Thoothukudi, Tamilnadu, South India.
2J.Jenit Ajitha, Department of Mathematics, St.Mary’s College(Autonomous), Thoothukudi affiliated under Manonmaniam Sundaranar University, Tirunelveli, South India.
Manuscript received on March 28, 2020. | Revised Manuscript received on April 25, 2020. | Manuscript published on April 30, 2020. | PP: 2156-2161 | Volume-9 Issue-4, April 2020. | Retrieval Number: D9010049420/2020©BEIESP | DOI: 10.35940/ijeat.D9010.049420
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this article we define Steiner and upper Steiner distances in connected fuzzy graphs by combining the notion of Steiner distance with distance and proved that both are metric. Also based on length, eccentricity, radius, diameter, diametric vertex, eccentric vertex, centre, convexity, self-centred graphs are introduced for both Steiner and upper Steiner distances . Some common characteristic properties are analysed and relation between Steiner and upper Steiner distances are discussed with an application. A model result is given for transport network.2010 AMS Classification: 05C72, 05C12
Keywords: Fuzzy Steiner -distance, upper Fuzzy Steiner -distance, fuzzy Steiner -eccentricity, upper fuzzy Steiner -eccentricity.