A Continuous Linear Fire Detector

1954 ◽  
Vol 26 (7) ◽  
pp. 233-233
Keyword(s):  
Continuous Linear ◽  
Fire Detector

scholarly journals A Privacy-Preserving Iot-Based Fire Detector

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 51393-51402
Author(s):  
Abdullah H. Altowaijri ◽  
Mohammed S. Alfaifi ◽  
Tariq A. Alshawi ◽  
Ahmed B. Ibrahim ◽  
Saleh A. Alshebeili
Keyword(s):  
Privacy Preserving ◽  
Fire Detector

On derivatives of fuzzy multi-dimensional mappings and applications under generalized differentiability

2021 ◽  
pp. 1-19
Author(s):  
M. Miri Karbasaki ◽  
M. R. Balooch Shahriari ◽  
O. Sedaghatfar
Keyword(s):  
Linear Function ◽  
Level Set ◽  
Fuzzy Numbers ◽  
Sufficient Condition ◽  
Continuous Linear ◽  
Generalized Differentiability ◽  
Relationship Of ◽  
The Relationship ◽  
Derivatives Of ◽  
Dimensional Mapping

This article identifies and presents the generalized difference (g-difference) of fuzzy numbers, Fréchet and Gâteaux generalized differentiability (g-differentiability) for fuzzy multi-dimensional mapping which consists of a new concept, fuzzy g-(continuous linear) function; Moreover, the relationship between Fréchet and Gâteaux g-differentiability is studied and shown. The concepts of directional and partial g-differentiability are further framed and the relationship of which will the aforementioned concepts are also explored. Furthermore, characterization is pointed out for Fréchet and Gâteaux g-differentiability; based on level-set and through differentiability of endpoints real-valued functions a characterization is also offered and explored for directional and partial g-differentiability. The sufficient condition for Fréchet and Gâteaux g-differentiability, directional and partial g-differentiability based on level-set and through employing level-wise gH-differentiability (LgH-differentiability) is expressed. Finally, to illustrate the ability and reliability of the aforementioned concepts we have solved some application examples.

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