Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases

Mohamed Abdel-Basset; Mai Mohamed; Mohamed Elhoseny; Le Hoang Son; Francisco Chiclana; Abd El-Nasser H Zaied

doi:10.1016/j.artmed.2019.101735

Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases

Artif Intell Med. 2019 Nov:101:101735. doi: 10.1016/j.artmed.2019.101735. Epub 2019 Oct 5.

Authors

Mohamed Abdel-Basset¹, Mai Mohamed², Mohamed Elhoseny³, Le Hoang Son⁴, Francisco Chiclana⁵, Abd El-Nasser H Zaied⁶

Affiliations

¹ Faculty of Computers and Informatics, Zagazig University, Sharqiyah, Egypt. Electronic address: analyst_mohamed@zu.edu.eg.
² Faculty of Computers and Informatics, Zagazig University, Sharqiyah, Egypt. Electronic address: mmgafar@fci.zu.edu.eg.
³ Faculty of Computers and Information, Mansoura University, Egypt. Electronic address: mohamed_elhoseny@mans.edu.eg.
⁴ VNU Information Technology Institute, Vietnam National University, Hanoi, Viet Nam. Electronic address: sonlh@vnu.edu.vn.
⁵ Institute of Artificial Intelligence (IAI), School of Computer Science and Informatics, De Montfort University, Leicester, UK; Andalusian Research Institute on Data Science and Computational Intelligence (DaSCI), University of Granada, Granada, Spain. Electronic address: chiclana@dmu.ac.uk.
⁶ Faculty of Computers and Informatics, Zagazig University, Sharqiyah, Egypt. Electronic address: nasserhr@yahoo.com.

PMID: 31813487
DOI: 10.1016/j.artmed.2019.101735

Abstract

Similarity plays a significant implicit or explicit role in various fields. In some real applications in decision making, similarity may bring counterintuitive outcomes from the decision maker's standpoint. Therefore, in this research, we propose some novel similarity measures for bipolar and interval-valued bipolar neutrosophic set such as the cosine similarity measures and weighted cosine similarity measures. The propositions of these similarity measures are examined, and two multi-attribute decision making techniques are presented based on proposed measures. For verifying the feasibility of proposed measures, two numerical examples are presented in comparison with the related methods for demonstrating the practicality of the proposed method. Finally, we applied the proposed measures of similarity for diagnosing bipolar disorder diseases.

Keywords: Bipolar; Bipolar disorder diseases; Cosine similarity measure; Multi-attribute decision making.

MeSH terms

Algorithms
Bipolar Disorder / diagnosis*
Decision Making
Feasibility Studies
Fuzzy Logic
Humans