Investigation of the relationship of the glass-transition temperature and the polymer structure by fuzzy set theory

2002 ◽  
Vol 40 (5) ◽  
pp. 454-459 ◽  
Author(s):  
Hong Sun ◽  
Yingwu Tang ◽  
Guoshi Wu ◽  
Fushi Zhang
Keyword(s):  
Glass Transition ◽  
Transition Temperature ◽  
Glass Transition Temperature ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Polymer Structure ◽  
Relationship Of ◽  
The Relationship

Granular Computing

2011 ◽  
pp. 774-780
Author(s):  
Georg Peters
Keyword(s):  
Probability Theory ◽  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Rough Sets ◽  
Granular Computing ◽  
Information Granularity ◽  
Relationship Of ◽  
The Relationship

It is well accepted that in many real life situations information is not certain and precise but rather uncertain or imprecise. To describe uncertainty probability theory emerged in the 17th and 18th century. Bernoulli, Laplace and Pascal are considered to be the fathers of probability theory. Today probability can still be considered as the prevalent theory to describe uncertainty. However, in the year 1965 Zadeh seemed to have challenged probability theory by introducing fuzzy sets as a theory dealing with uncertainty (Zadeh, 1965). Since then it has been discussed whether probability and fuzzy set theory are complementary or rather competitive (Zadeh, 1995). Sometimes fuzzy sets theory is even considered as a subset of probability theory and therefore dispensable. Although the discussion on the relationship of probability and fuzziness seems to have lost the intensity of its early years it is still continuing today. However, fuzzy set theory has established itself as a central approach to tackle uncertainty. For a discussion on the relationship of probability and fuzziness the reader is referred to e.g. Dubois, Prade (1993), Ross et al. (2002) or Zadeh (1995). In the meantime further ideas how to deal with uncertainty have been suggested. For example, Pawlak introduced rough sets in the beginning of the eighties of the last century (Pawlak, 1982), a theory that has risen increasing attentions in the last years. For a comparison of probability, fuzzy sets and rough sets the reader is referred to Lin (2002). Presently research is conducted to develop a Generalized Theory of Uncertainty (GTU) as a framework for any kind of uncertainty whether it is based on probability, fuzziness besides others (Zadeh, 2005). Cornerstones in this theory are the concepts of information granularity (Zadeh, 1979) and generalized constraints (Zadeh, 1986). In this context the term Granular Computing was first suggested by Lin (1998a, 1998b), however it still lacks of a unique and well accepted definition. So, for example, Zadeh (2006a) colorfully calls granular computing “ballpark computing” or more precisely “a mode of computation in which the objects of computation are generalized constraints”.

A facile route to well-defined imidazolium-based poly(ionic liquid)s of enhanced conductivity via RAFT

2017 ◽  
Vol 8 (35) ◽  
pp. 5433-5443 ◽  
Author(s):  
Paulina Maksym ◽  
Magdalena Tarnacka ◽  
Andrzej Dzienia ◽  
Karol Erfurt ◽  
Anna Chrobok ◽  
...  
Keyword(s):  
Molecular Weight ◽  
Ionic Liquid ◽  
Glass Transition ◽  
Transition Temperature ◽  
Glass Transition Temperature ◽  
Temperature Conductivity ◽  
Poly Ionic Liquid ◽  
The Relationship ◽  
Enhanced Conductivity ◽  
Facile Route

Examining the relationship between the glass transition temperature, conductivity and molecular weight of tailored imidazolium-based PILs synthesized via RAFT.

scholarly journals Analysis of the acoustic climate of a spa park using the fuzzy set theory

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Małgorzata Sztubecka ◽  
Jacek Sztubecki
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Urban Areas ◽  
Environmental Pollutants ◽  
Sound Level ◽  
The Road ◽  
The People ◽  
The Individual ◽  
The Relationship

Abstract The paper describes the differences between the actual results of the measurement of equivalent sound level and the feelings of people visiting "a Spa Park". Noise, as one of the environmental pollutants, cause detrimental effects on the recipient. Measurements of noise are usually performed in urban areas, especially in the road environments, providing a basis for measures to limit their impact on the environment. Often in the measurement there are ignored areas for recreation. Usually, they do not determine the relationship between the results of measurements of noise equivalent sound level and the individual feelings of the people living in these areas. The analysis was performed with the use of fuzzy set theory. The evaluation of the acoustic climate on the "Spa Park" should be determined on the basis of sound level measurements and questionnaires.

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