Similarity measure for (p,q)-rung linear diophantine fuzzy hypersoft set and its application in alternative urban transportation system selection
Franklin Open, vol.17, 2026 (Scopus)
- Publication Type: Article / Article
- Volume: 17
- Publication Date: 2026
- Doi Number: 10.1016/j.fraope.2026.100744
- Journal Name: Franklin Open
- Journal Indexes: Scopus
- Keywords: (p,q)-rung linear diophantine fuzzy set, Hypersoft set, Multi-attribute decision-making, Similarity measure, Urban transportation system
- Yıldız Technical University Affiliated: Yes
Abstract
A significant development in fuzzy set theory is the (p,q)-rung linear Diophantine fuzzy set. In this study, the (p,q)-rung linear Diophantine fuzzy hypersoft set was introduced by combining it with the hypersoft set, along with some of its algebraic operations. Additionally, to address real-life similarity problems with multi-sub-attributes under the (p,q)-rung linear Diophantine fuzzy environment, distance measures and novel similarity measures are proposed for the (p,q)-rung linear Diophantine fuzzy hypersoft set. In addition, a highly efficient algorithm for real-world multi-attribute decision-making problems that utilizes the proposed similarity measures is presented. Also, a multi-attribute decision-making problem in urban transportation is presented as an illustrative example of the proposed algorithm, in which a metropolitan city’s transportation department selects the most suitable alternative transportation system from a set of high-quality systems. To demonstrate the reliability, validity, superiority, and robustness of the proposed concept and method, a thorough comparative analysis with appropriate explanations has been provided.