scholarly journals An Explicit Algorithm for a Newsboy Problem with Shortage Costs Dependent on Consumers' Demands Derived from a Fuzzy Reasoning Method

Author(s):  
Takashi HASUIKE
2020 ◽  
Vol 8 ◽  
Author(s):  
Takayuki Kihara

Abstract In [12], John Stillwell wrote, ‘finding the exact strength of the Brouwer invariance theorems seems to me one of the most interesting open problems in reverse mathematics.’ In this article, we solve Stillwell’s problem by showing that (some forms of) the Brouwer invariance theorems are equivalent to the weak König’s lemma over the base system ${\sf RCA}_0$ . In particular, there exists an explicit algorithm which, whenever the weak König’s lemma is false, constructs a topological embedding of $\mathbb {R}^4$ into $\mathbb {R}^3$ .


2013 ◽  
Vol 634-638 ◽  
pp. 4017-4021
Author(s):  
Jun Hui Pan ◽  
Hui Wang ◽  
Xiao Gang Yang

Aiming at the petrophysical facies recognition, a novel identification method based on the weighted fuzzy reasoning networks is proposed in the paper. First, the types and indicators are obtained from core analysis data and the results given by experts, and then the standard patterning database of reservoir petrophysical facies is established. Secondly, by integrating expert experiences and quantitative indicators to reflect the change of petrophysical facies, the classification model of petrophysical facies based on the weighted fuzzy reasoning networks is designed. The preferable application results are presented by processing the real data from the Sabei development zone of Daqing oilfield.


2014 ◽  
Vol 41 (8) ◽  
pp. 3769-3776 ◽  
Author(s):  
Sibo Ding ◽  
Yuan Gao
Keyword(s):  

2008 ◽  
Vol 115 (1) ◽  
pp. 113-127 ◽  
Author(s):  
Layek Abdel-Malek ◽  
Roberto Montanari ◽  
Diego Meneghetti
Keyword(s):  

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