Work

Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision

Year: 2024

Type: article

Abstract: This paper introduces a novel distance measure for dual hesitant fuzzy sets (DHFS) and weighted dual hesitant fuzzy sets (WDHFS), with a rigorous proof of the triangular inequality to ensure its mathematical validity. The proposed measure extends the normalized Hamming, generalized, and Euclidean distance measures to dual hesitant fuzzy elements (DHFE), offering a broader framework for handling uncertainty in fuzzy environments. Additionally, the utilization of a score function is shown to simplify the computation of these distance measures. The practical relevance of the proposed measure is demonstrated through its application in medical diagnosis and decision-making processes. A comparative analysis between the newly introduced distance measure denoted as $$\chi$$ , and an existing measure, $$\chi _1$$ is performed to underscore the superiority and potential advantages of the new approach in real-world scenarios.

Source: Scientific Reports

DOI: 10.1038/s41598-024-75687-5

Authors: Salah Boulaaras, Ghada E. Mostafa, Rashid Jan, Ibrahim Mekawy

Institutions: Qassim University, Al-Azhar University, Near East University, Universiti Tenaga Nasional

Language: English

Topic: Multi-Criteria Decision Making

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: gold

Estimated APC paid: $2,590

OpenAlex ID: W4403954072