Abstract: The concept of fuzzy perception roaming process is entered. A new integral is built by the fuzzy perception roaming process. Properties of this integral are studied. The new class of differential equalizations is acquired. A theorem of existence and uniqueness of a solution for the new class of fuzzy perception differential equations are proved.

Keywords: possibility-theoretical approach, dynamic processes, soft modeling, fuzzy perception processes, Cauchy problem.

ACM Classification Keywords: G.1.7 – Ordinary Differential Equations.

Link:

AN UNCERTAIN CAUCHY PROBLEM OF A NEW CLASS OF FUZZY DIFFERENTIAL EQUATIONS

Alexei Bychkov, Eugene Ivanov, Olha Suprun

http://www.foibg.com/ijima/vol04/ijima04-02-p01.pdf