Some Applications and Examples of Distances in Intuitionistic Fuzzy Sets

By taking two terms: A and B, the distance between their Intuitionistic fuzzy sets can be calculated using a suitable distance measure, such as the Hamming distance or Jaccard distance. This calculation can provide valuable insights into the similarity or dissimilarity between the two sets, aiding in decision-making processes and data analysis. By taking three terms. (membership, non membership, hesitation margins) This distance measure can help quantify the similarity or dissimilarity between two Intuitionistic fuzzy sets, providing a numerical value to compare their levels of uncertainty. Ensured only under the condition that all three parameters characterizing the Intuitionistic fuzzy sets are taken into account.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-05-24
DOI
https://doi.org/10.5281/zenodo.15525625
Primary Topic
Multi-Criteria Decision Making
Type
article
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article

Some Applications and Examples of Distances in Intuitionistic Fuzzy Sets

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

Some Applications and Examples of Distances in Intuitionistic Fuzzy Sets

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Abstract

By taking two terms: A and B, the distance between their Intuitionistic fuzzy sets can be calculated using a suitable distance measure, such as the Hamming distance or Jaccard distance. This calculation can provide valuable insights into the similarity or dissimilarity between the two sets, aiding in decision-making processes and data analysis. By taking three terms. (membership, non membership, hesitation margins) This distance measure can help quantify the similarity or dissimilarity between two Intuitionistic fuzzy sets, providing a numerical value to compare their levels of uncertainty. Ensured only under the condition that all three parameters characterizing the Intuitionistic fuzzy sets are taken into account.

Zenodo (CERN European Organization for Nuclear Research)
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Multi-Criteria Decision Making
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Some Applications and Examples of Distances in Intuitionistic Fuzzy Sets · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS