Viewing Morphisms Between Pattern Structures via Their Concept Lattices and via Their Representations

Author(s):  
Lars Lumpe ◽  
Stefan E. Schmidt
Author(s):  
Mehdi Kaytoue ◽  
Victor Codocedo ◽  
Aleksey Buzmakov ◽  
Jaume Baixeries ◽  
Sergei O. Kuznetsov ◽  
...  

2019 ◽  
Vol 16 (6) ◽  
pp. 568-577 ◽  
Author(s):  
Jainara Santos do Nascimento ◽  
João Carlos Silva Conceição ◽  
Eliane de Oliveira Silva

Coumarins are natural 1,2-benzopyrones, present in remarkable amounts as secondary metabolites in edible and medicinal plants. The low yield in the coumarins isolation from natural sources, along with the difficulties faced by the total synthesis, make them attractive for biotechnological studies. The current literature contains several reports on the biotransformation of coumarins by fungi, which can generate chemical analogs with high selectivity, using mild and eco-friendly conditions. Prompted by the enormous pharmacological interest in the coumarin-related compounds, their alimentary and chemical applications, this review covers the biotransformation of coumarins by filamentous fungi. The chemical structures of the analogs were presented and compared with those from the pattern structures. The main chemical reactions catalyzed the insertion of functional groups, and the impact on the biological activities caused by the chemical transformations were discussed. Several chemical reactions can be catalyzed by filamentous fungi in the coumarin scores, mainly lactone ring opening, C3-C4 reduction and hydroxylation. Chunninghamella sp. and Aspergillus sp. are the most common fungi used in these transformations. Concerning the substrates, the biotransformation of pyranocoumarins is a rarer process. Sometimes, the bioactivities were improved by the chemical modifications and coincidences with the mammalian metabolism were pointed out.


Axioms ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 41
Author(s):  
Alexander Šostak ◽  
Ingrīda Uļjane ◽  
Māris Krastiņš

Noticing certain limitations of concept lattices in the fuzzy context, especially in view of their practical applications, in this paper, we propose a more general approach based on what we call graded fuzzy preconcept lattices. We believe that this approach is more adequate for dealing with fuzzy information then the one based on fuzzy concept lattices. We consider two possible gradation methods of fuzzy preconcept lattice—an inner one, called D-gradation and an outer one, called M-gradation, study their properties, and illustrate by a series of examples, in particular, of practical nature.


Order ◽  
1993 ◽  
Vol 10 (4) ◽  
pp. 363-373
Author(s):  
Winfried Geyer
Keyword(s):  

2012 ◽  
Vol 208 ◽  
pp. 95-110 ◽  
Author(s):  
J. Medina ◽  
M. Ojeda-Aciego
Keyword(s):  

2014 ◽  
Vol 92 (9) ◽  
pp. 1855-1873 ◽  
Author(s):  
M. Eugenia Cornejo ◽  
Jesús Medina ◽  
Eloisa Ramírez-Poussa
Keyword(s):  

1993 ◽  
Vol 30 (4) ◽  
pp. 538-580 ◽  
Author(s):  
Marcel Ern�
Keyword(s):  

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