NETWORK FREQUENCY AND COSINE SIMILARITY MEASURE

AbstractThe Pythagorean fuzzy set is extended from intuitionistic fuzzy set. Pythagorean fuzzy sets arecharacterized by the three degrees such that membership, non-membership, and hesitancy which satisfies the condition that the sum of the squares of its membership degree, and non-membership degree is equal to or less than one. It reaches many application with the support of score, Accuracy, Distance, and Similarity measures. In this paper, the Pythagorean fuzzy set isexplained with the help of cosine similarity and distance-based similarity. An illustrativeexample is also included and a comparative study is made with the Score, Accuracy, andSimilarity measure function.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-17
DOI
https://doi.org/10.5281/zenodo.17377893
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
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article

NETWORK FREQUENCY AND COSINE SIMILARITY MEASURE

Zenodo (CERN European Organization for Nuclear Research)
Multi-Criteria Decision Making
article

NETWORK FREQUENCY AND COSINE SIMILARITY MEASURE

article en

Abstract

AbstractThe Pythagorean fuzzy set is extended from intuitionistic fuzzy set. Pythagorean fuzzy sets arecharacterized by the three degrees such that membership, non-membership, and hesitancy which satisfies the condition that the sum of the squares of its membership degree, and non-membership degree is equal to or less than one. It reaches many application with the support of score, Accuracy, Distance, and Similarity measures. In this paper, the Pythagorean fuzzy set isexplained with the help of cosine similarity and distance-based similarity. An illustrativeexample is also included and a comparative study is made with the Score, Accuracy, andSimilarity measure function.

Zenodo (CERN European Organization for Nuclear Research)
Periyar University (IN)
Openalex Percentile: Top 39%
Multi-Criteria Decision Making
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