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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Difunctions are also characterized and their relationship with known mappings between fuzzy sets is investigated.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper a theory of relations and corelations between the lattice of fuzzy subsets of a crisp set X and that of a crisp set Y is developed, based on the theory of relations and corelations between textures.
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Key Findings & Data:In a series of examples it is shown that these notions generalize in a natural way the impotant concept of fuzzy relation from X to Y .
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Conclusion & Impact:Difunctions are also characterized and their relationship with known mappings between fuzzy sets is investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hutton algebra · Hutton texture · Direlation
Abstract
In this paper a theory of relations and corelations between the lattice of fuzzy subsets of a crisp set X and that of a crisp set Y is developed, based on the theory of relations and corelations between textures. In a series of examples it is shown that these notions generalize in a natural way the impotant concept of fuzzy relation from X to Y . Difunctions are also characterized and their relationship with known mappings between fuzzy sets is investigated.
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Cite This Article
TİRYAKİ, İ. U., BROWN, L. M. (2022). RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS. Hacettepe Journal of Mathematics and Statistics, Cilt: 34 - Sayı: supp, 69–89. https://ajindex.com/articles/530794