Sentence examples for fuzzy derivative from inspiring English sources
The concept of fuzzy derivative was first introduced by Chang and Zadeh [1].
The different types of solutions to SRFDEs are generated by the usage of two different concepts of the fuzzy derivative.
There are many suggestions to define a fuzzy derivative and in consequence, to study fuzzy differential equation [3].
In Section 2, we recall some basic definitions and results about fuzzy numbers as well as fuzzy derivative of the fuzzy-valued function.
Other fuzzy derivative concepts were proposed by Puri and Ralescu [3] and Goetschel and Vaxman [4] as an extension of the Hukuhara derivative of multivalued functions.
Also, the fuzzy derivative, in terms of level-cuts, is bigl[f'(x bigr]^{alpha}=bigl[minbigl{ underline{f}_{alpha}'(x),bar{f}_{alpha}'(x bigr},max bigl{ underline{f}_{alpha}'(x), bar{f}_{alpha}'(x bigr} bigr].
In Section 3, we discuss the SRFDEs with two kinds of fuzzy derivatives.
Finally, we will attempt to expand the proposed method under other kinds of fuzzy derivatives like Riemann-Liouville differentiability.
In fact, the second fuzzy delta derivative, or second order fuzzy delta derivative, is the fuzzy delta derivative of the fuzzy delta derivative of fuzzy function on time scales that we denote by (Delta^{2}_{H} f(t)).
In this paper, design of fuzzy proportional derivative controller and fuzzy proportional derivative integral controller for speed control of brushless direct current drive has been presented.
In the above definitions (Delta_{H}^ f(t)) and (Delta_{H}^ f(t)) are termed, respectively, right fuzzy delta derivative and left fuzzy delta derivative at t. [9].
