On the cycle-transitivity of the mutual rank probability relation of a poset

2010 ◽  
Vol 161 (20) ◽  
pp. 2695-2708 ◽  
Author(s):  
B. De Baets ◽  
H. De Meyer ◽  
K. De Loof
2017 ◽  
Vol 59 (1) ◽  
pp. e3-e3 ◽  
Author(s):  
Takeshi Obayashi ◽  
Yuichi Aoki ◽  
Shu Tadaka ◽  
Yuki Kagaya ◽  
Kengo Kinoshita

Ceramics ◽  
2019 ◽  
Vol 2 (3) ◽  
pp. 426-440 ◽  
Author(s):  
Jacques Lamon

SiC-based fibers are sensitive to delayed failure under constant load at high temperatures in air. Static fatigue at intermediate temperatures < 800 °C was attributed to slow crack growth from flaws located at the surface of fibers, driven by the oxidation of free carbon at grain boundaries. The present paper examines the static fatigue behavior of SiC-based Hi-Nicalon fibers at high temperatures up to 1200 °C and Hi Nicalon S fibers at intermediate temperatures (500–800 °C). The degradation of stress- rupture time relation of multifilament tows with increasing temperature was investigated. Predictions of tow lifetime based on critical filament-based model of tow failure were compared to experimental stress-rupture time diagrams. Critical filaments are characterized by strength–probability relation. The critical filament-based model was found to describe satisfactorily the static fatigue behavior of fiber tows at these temperatures. The influence of various factors on lifetime as well as the origins of variability is analyzed.


Author(s):  
Masashi Emoto ◽  
◽  
Rolly Intan ◽  
Masao Mukaidono ◽  

In the generalization of rough sets, many concepts use a relation weaker than the equivalence relation usually used in classical rough sets, e.g., induced by a conditional probability relation. The conditional probability relation is binary and assumes that the relationship between two data (elements or objects) resembles a relationship between two events in conditional probability. We use the asymmetric property of the conditional probability relation to propose active and passive relations, then discuss a generalization and properties of rough sets based on active and passive relations.


Author(s):  
Rolly Intan ◽  
◽  
Masao Mukaidono ◽  

Fuzzy relational database was proposed for dealing with imprecise data or fuzzy information in a relational database. In order to provide a more realistic relation in representing similarity between two imprecise data, we need to weaken fuzzy similarity relation to be weak fuzzy similarity relation in which fuzzy conditional probability relation (FCPR, for short) is regarded as a concrete example of the weak fuzzy similarity relation. In this paper, application of approximate data querying is discussed induced by FCPR in the presence of the fuzzy relational database. Application of approximate data querying in order to provide fuzzy query relation is presented into two frameworks, namely dependent inputs and independent inputs. Finally, related to join operator, approximate join of two or more fuzzy query relations is given for the purpose of extending query system.


Kybernetika ◽  
2014 ◽  
pp. 814-837 ◽  
Author(s):  
Karel De Loof ◽  
Bernard De Baets ◽  
Hans De Meyer
Keyword(s):  

1993 ◽  
Vol 9 (1) ◽  
pp. 25-51 ◽  
Author(s):  
Allin Cottrell

One calls a lot of things propositions. If one sees this, then one can discard the idea Russell and Frege had that logic is a science of certain objects – propositions, functions, the logical constants – and that logic is like a natural science such as zoology and talks about these objects as zoology talks of animals. Like a natural science, it could supposedly discover certain relations. For example, Keynes claimed to discover a probability relation which was like implication, yet not quite implication. But logic is a calculus, not a natural science, and in it one can make inventions but not discoveries.Giving grounds, however, justifying the evidence, comes to an end; – but the end is not certain propositions' striking us immediately as true, i.e. it is not a kind of seeing on our part; it is our acting, which lies at the bottom of the language-game. (Wittgenstein, 1969, §204)


Sign in / Sign up

Export Citation Format

Share Document