Two new concepts "Picture Fuzzy Rough Soft Sets"and "Picture Fuzzy Dynamic Systems" in Picture Fuzzy Systems

In 2013, B.C. Cuong and V. Kreinovich introduced the concept of picture fuzzy set [1], which is a directly generalization concept of the Zadeh’s fuzzy sets and Atanassov’s intuitionistic fuzzy sets. Picture Fuzzy Sets Theory and Picture Fuzzy Logic [5] was received many developments with applications in computational intelligent problems (see [5] and [9–19]). A combination of picture fuzzy sets with Molodsov’s soft sets [26] are Picture Fuzzy Soft Sets was given in section 5 of [1]. Rough set was introduced by Z. Pawlak in 1982 [4], which becomes a usefully mathematical tool for data mining, especially for redundant and uncertain data. The combination of fuzzy set and rough set theories lead to various models and receive many interesting results. Recently in the NICS 2017 [9] we defined the picture fuzzy rough sets for the soft computing problems. This paper is devoted to the new sets – Picture Fuzzy Rough Soft Sets and the a concept ”Picture Fuzzy Dynamic Systems”, which could be important branches of picture fuzzy systems and applications.