Intuitionistic Fuzzy Tree Center-Based Clustering Algorithm
G. Thamizhendhi1, R. Parvathi2
1G. Thamizhendhi, Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India.
2R. Parvathi, Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India.
Manuscript received on February 09, 2016. | Revised Manuscript received on February 15, 2016. | Manuscript published on March 05, 2016. | PP: 50-65 | Volume-6 Issue-1, March 2016. | Retrieval Number: A2800036116/2016©BEIESP
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© The Authors. Published By: 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 paper, the concepts of distance, eccentricity, radius, diameter and center of an intu-itionistic fuzzy tree are defined. Some of the domination parameters like independent domina-tion, connected domination and total domination on intuitionistic fuzzy trees are investigated. The procedure for intuitionistic fuzzification for numerical data set is proposed. Further, in-tuitionistic fuzzy tree center-based clustering algorithm is designed. The e ectiveness of the algorithm is checked with a numerical dataset and compared with two existing clustering meth-ods.
Keywords: Intuitionistic fuzzy tree, distance, eccentricity, center, connected domination, connec-tivity, clustering