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Characterization of Pythagorean Q-Fuzzy Ideal of Near-Ring
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Author(s): Amal Kumar Adak (Ganesh Dutt College, Lalit Narayan Mithila University, Begusarai, India)
Copyright: 2022
Pages: 14
Source title:
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco)
DOI: 10.4018/978-1-7998-7979-4.ch010
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Abstract
Pythagorean fuzzy sets are an extension of the intuitionistic fuzzy sets, and they also overcome the limitations of the intuitionistic fuzzy sets. The theory of Pythagorean fuzzy sets possesses significant advantages in handling vagueness and complex uncertainty. Additionally, Pythagorean fuzzy information is used to simulate the ambiguous nature of subjective judgements and measure the fuzziness and impression more flexibly. This chapter presents some useful concepts of Pythagorean fuzzy sub-ring, upper, and lower cut seta. Also, the authors derive some useful properties of Pythagorean Q-fuzzy ideals of near-rings.
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