New Similarity Measure between Intuitionistic Fuzzy Multisets based on Tangent Function and its Application in Medical Diagnosis
R. Muthuraj1, S. Devi2

1R. Muthuraj, PG and Research, Department of Mathematics, H.H. The Rajah’s College, Pudhukottai (Tamil Nadu), India.
2S. Devi, Department of Mathematics, PSNA College of Engineering and Technology, Dindigul (Tamil Nadu), India.
Manuscript received on 16 July 2019 | Revised Manuscript received on 01 August 2019 | Manuscript Published on 10 August 2019 | PP: 161-165 | Volume-8 Issue-2S3 July 2019 | Retrieval Number: B10300782S319/2019©BEIESP | DOI: 10.35940/ijrte.B1030.0782S319
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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 recent years, Intuitionistic fuzzy set is very useful in decision making problems such as medical diagnosis, pattern recognition, clustering etc., which deals with vagueness and uncertainty. Similarity measure is a tool used to find the closeness of the intuitionistic fuzzy sets by considering the membership, nonmembership and hesitation function. In this paper, we propose an effective similarity measure based on tangent function for intuitionistic fuzzy multi sets in which membership, nonmembership, hesitation function occurs more than once and also we apply this measure in medical diagnosis and pattern recognition.
Keywords: Intuitionistic Fuzzy Sets(IFS), Intuitionistic Fuzzy Multi Sets(IFMS), Similarity Measure based on Tangent Function. AMS Subject Classification (2010)— 08A72, 03E72.
Scope of the Article: Fuzzy Logics