A new concept of Cosine similarity measures based on dual hesitant fuzzy sets and its possible applications

Most real-world problems are typical multi-criteria decision making problems which including ambiguity and subjectivity. Dual fuzzy sets (DHFS) are new extensions of fuzzy sets, which can cope with areas of vagueness effectively. In this paper, we propose one new similarity measure called cosine measure which has the ability to model various problems for DHFSs and study some formal relations. We provided three numerical examples including a medical diagnosis problem, an energy projects problem and a weapon selection problem to show the behaviour of the proposed cosine similarity measure.

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