✨
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
🎯
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.
📊
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 .
💡
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.
🔖
Cite This Article
Tiryaki, ˙. U., Brown, L. M. (2005). RELATIONS AND CORELATIONS BETWEEN LATTICES OF FUZZY SUBSETS. Hacettepe Journal of Mathematics and Statistics, Volume: 34 Special Issue. https://ajindex.com/articles/1403838