Pythagorean Fuzzy Labeling Graph
P. Ashwini Sibiya Rani1, T. Bharathi2
1P. Ashwini Sibiya Rani, P.G and Research Department of Mathematics, Loyola College, University of Madras, Chennai, (Tamil Nadu), India.
2T. Bharathi, P.G and Research Department of Mathematics, Loyola College, University of Madras, Chennai, (Tamil Nadu), India.
Manuscript received on 5 August 2019. | Revised Manuscript received on 11 August 2019. | Manuscript published on 30 September 2019. | PP: 2275-2279 | Volume-8 Issue-3 September 2019 | Retrieval Number: B3818078219/19©BEIESP | DOI: 10.35940/ijrte.B3818.098319
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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: The objective of this paper is to introduce a new concept of Pythagorean Fuzzy Labeling. If a fuzzy labeling is a Pythagorean Fuzzy Labeling, then the membership value of the edges is strictly less than the corresponding membership value of its incident vertices and the non – membership value of the edges is strictly greater than the corresponding non – membership value of the incident vertices of a graph. The sub graphs and union of Pythagorean Fuzzy Labeling Graphs are defined.
Index Terms: Pythagorean Fuzzy Graph, Pythagorean Fuzzy Labeling Graph, Pythagorean fuzzy Labeling sub Graph.
Scope of the Article: Fuzzy Logics