TY - JOUR
T1 - A novel similarity measure of picture fuzzy sets and its applications
AU - Fathima Perveen, P. A.
AU - John, Sunil Jacob
AU - Kamacı, Hüseyin
AU - Baiju, T.
N1 - Funding Information:
The first author is thankful for the financial assistance granted by the University Grants Commission (UGC) India during the preparation of the manuscript.
Publisher Copyright:
© 2023 – IOS Press. All rights reserved.
PY - 2023
Y1 - 2023
N2 - Picture fuzzy sets are a direct extension of fuzzy sets and intuitionistic fuzzy sets, recently developed as a mathematical tool for solving uncertainty-related problems. In this paper, a novel similarity measure and corresponding weighted similarity measure between two picture fuzzy sets are proposed after indicating some disadvantages of the current similarity measures of picture fuzzy sets through some exemplary numerical examples. Also, some of their basic properties are discussed. Further, a picture fuzzy decision making algorithm based on the similarity aggregation method is constructed and then applied to the decision making problem. It is also used to deal with a medical diagnosis problem to detect which disease a patient may be suffering from. Finally, the effectiveness of the proposed similarity measure is demonstrated by making comparison with the present picture fuzzy similarity measures.
AB - Picture fuzzy sets are a direct extension of fuzzy sets and intuitionistic fuzzy sets, recently developed as a mathematical tool for solving uncertainty-related problems. In this paper, a novel similarity measure and corresponding weighted similarity measure between two picture fuzzy sets are proposed after indicating some disadvantages of the current similarity measures of picture fuzzy sets through some exemplary numerical examples. Also, some of their basic properties are discussed. Further, a picture fuzzy decision making algorithm based on the similarity aggregation method is constructed and then applied to the decision making problem. It is also used to deal with a medical diagnosis problem to detect which disease a patient may be suffering from. Finally, the effectiveness of the proposed similarity measure is demonstrated by making comparison with the present picture fuzzy similarity measures.
UR - https://www.scopus.com/pages/publications/85160945554
UR - https://www.scopus.com/pages/publications/85160945554#tab=citedBy
U2 - 10.3233/JIFS-222334
DO - 10.3233/JIFS-222334
M3 - Article
AN - SCOPUS:85160945554
SN - 1064-1246
VL - 44
SP - 4653
EP - 4665
JO - Journal of Intelligent and Fuzzy Systems
JF - Journal of Intelligent and Fuzzy Systems
IS - 3
ER -