Representing complex intuitionistic fuzzy set by quaternion numbers and applications to decision making
| Title: | Representing complex intuitionistic fuzzy set by quaternion numbers and applications to decision making |
|---|---|
| Authors: | RT Ngan; LH Son; M Ali; DE Tamir; ND Rishe; A Kandel |
| Publication Year: | 2020 |
| Subject Terms: | Artificial intelligence not elsewhere classified; Information systems not elsewhere classified; Applied mathematics not elsewhere classified; Science & Technology; Technology; Computer Science; Artificial Intelligence; Interdisciplinary Applications; Quaternion number; Intuitionistic fuzzy set; Complex intuitionistic fuzzy set; DISTANCE MEASURE; INFORMATION; CONSENSUS; 4609 Information systems; 4901 Applied mathematics; 4605 Data management and data science |
| Description: | Intuitionistic fuzzy sets are useful for modeling uncertain data of realistic problems. In this paper, we generalize and expand the utility of complex intuitionistic fuzzy sets using the space of quaternion numbers. The proposed representation can capture composite features and convey multi-dimensional fuzzy information via the functions of real membership, imaginary membership, real non-membership, and imaginary non-membership. We analyze the order relations and logic operations of the complex intuitionistic fuzzy set theory and introduce new operations based on quaternion numbers. We also present two quaternion distance measures in algebraic and polar forms and analyze their properties. We apply the quaternion representations and measures to decision-making models. The proposed model is experimentally validated in medical diagnosis, which is an emerging application for tackling patient's symptoms and attributes of diseases. |
| Document Type: | article in journal/newspaper |
| Language: | unknown |
| Relation: | http://hdl.handle.net/10536/DRO/DU:30133090; https://figshare.com/articles/journal_contribution/Representing_complex_intuitionistic_fuzzy_set_by_quaternion_numbers_and_applications_to_decision_making/20724193 |
| Availability: | http://hdl.handle.net/10536/DRO/DU:30133090; https://figshare.com/articles/journal_contribution/Representing_complex_intuitionistic_fuzzy_set_by_quaternion_numbers_and_applications_to_decision_making/20724193 |
| Rights: | All Rights Reserved |
| Accession Number: | edsbas.2E5C403A |
| Database: | BASE |