A theoretical development of improved cosine similarity measure for interval valued intuitionistic fuzzy sets and its applications

Rathnasabapathy, Premalatha; Palanisami, Dhanalakshmi

doi:10.1007/s12652-022-04019-0

Cited by 7 publications

(1 citation statement)

References 40 publications

(54 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Tiwari and Gupta [36] developed metrics for distance, similarity, and entropy for IVIF soft sets. Rathnasabapathy and Palanisami [37] designed a cosine similarity measure for IVIFSs, applied in real-world decision problems like pattern recognition, medical diagnosis, and MCDM. Ohlan [38] proposed novel distance and entropy measures for IVIFSs to address multicriteria group decision-making.…”

Section: Introductionmentioning

confidence: 99%

Improving Similarity Measures for Modeling Real-World Issues With Interval-Valued Intuitionistic Fuzzy Sets

Alolaiyan,

Razaq,

Ashfaq

et al. 2024

IEEE Access

View full text Add to dashboard Cite

The concept of interval-valued intuitionistic fuzzy sets (IVIFSs) presents a compelling and practical framework for modeling real-world problems. In various fields, such as pattern recognition and decision-making, the development of similarity measures tailored to this class holds significant importance. These measures play a pivotal role in the decision-making process involving IVIFSs, as they quantify the extent of similarity between two such sets. In this article, the shortcomings of the existing similarity measures within the framework of IVIFSs are highlighted, and an improved similarity measure is presented. A comparative study validates that this new similarity measure is better than the existing measures in the IVIF environment. This study systematically establishes several essential properties of the novel similarity measure and substantiates its effectiveness through numerical illustrations. Moreover, a comparative assessment is undertaken to validate the efficacy of the recently introduced measure in relation to established metrics, within the context of IVIFSs. To address the evaluation of software quality, a dedicated mechanism is devised, harnessing the proposed IVIFS similarity measure. Furthermore, an innovative production strategy is formulated utilizing the newly defined methodology to determine the optimal approach for the production of a specific product.. INDEX TERMSDecision making problem, Interval valued intuitionistic fuzzy set, Optimal production strategy, Similarity measure, Software quality model I.

show abstract

Section: Introductionmentioning

confidence: 99%