2022
DOI: 10.52280/pujm.2022.540703
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Similarity Measures based on the Novel Interval-valued Picture Hesitant Fuzzy Sets and their Applications in Pattern Recognition

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Cited by 5 publications
(1 citation statement)
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References 56 publications
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“…Many extensions to fuzzy sets have been introduced, such as rough sets (Pawlak 1982), soft sets (Molodtsov 1999), intuitionistic fuzzy sets (Atanassov 1999), linear diophantine fuzzy sets (Riaz and Hashmi 2019), bipolar valued fuzzy sets (Lee 2000), bipolar soft sets (Shabir and Naz 2013;Mahmood 2020), and picture fuzzy sets (Cuong and Kreinovich 2013) in recognition of the importance of the fuzzy of fuzzy sets. Although all of these extensions have their advantages, the notion of picture fuzzy set has gained much more attention from researchers relative to others; see Riaz et al (2021), Mahmood andAli (2020), andJan et al (2019). However, the dependency of the membership grade causes the abstinence grade and nonmembership grade to fail when the sum of these grades exceeds 1.…”
mentioning
confidence: 99%
“…Many extensions to fuzzy sets have been introduced, such as rough sets (Pawlak 1982), soft sets (Molodtsov 1999), intuitionistic fuzzy sets (Atanassov 1999), linear diophantine fuzzy sets (Riaz and Hashmi 2019), bipolar valued fuzzy sets (Lee 2000), bipolar soft sets (Shabir and Naz 2013;Mahmood 2020), and picture fuzzy sets (Cuong and Kreinovich 2013) in recognition of the importance of the fuzzy of fuzzy sets. Although all of these extensions have their advantages, the notion of picture fuzzy set has gained much more attention from researchers relative to others; see Riaz et al (2021), Mahmood andAli (2020), andJan et al (2019). However, the dependency of the membership grade causes the abstinence grade and nonmembership grade to fail when the sum of these grades exceeds 1.…”
mentioning
confidence: 99%