... A relation is an association of pairwise or multiple objects as tuples and hyperstructures. Relations are not only a pervasive phenomenon in the natural world (Chomsky, 1956;Rapoport, 1962;Keenan, 1975;Klir, 1992;Ullman and Widom, 1997;O'connor and Robb, 2003;Dayan and Abbott, 2005;Wang, 2003Wang, , 2007bWang, , 2009aWang, /b, 2012bWang, , 2014aWang, , 2015bWang, , 2016a;Wang and Berwick, 2013;Wang et al., 2017), but also a fundamental mathematical concept in the abstract world (Russell, 1903;Zadeh, 1965;Artin, 1991;Kolman et al., 1996;Bender, 1996;Lipschutz and Lipson, 1997;Gallian, 2002;Gowers, 2008;Sibley, 2009;Wang, 2007aWang, , 2008aWang, , 2009aWang, , 2010aWang, , 2012aWang, , 2013bWang, , 2015aWang, /h, 2016cWang, Zadeh, et al., 2009a). Relations play an indispensable role in modeling neuroinformatics, human memory, and internal knowledge representation in brain science, cognitive science and neurology (Debenham, 1989;Marieb, 1992;Dayan and Abbott, 2005;Wang, 2003Wang, , 2010Wang, , 2012cWang, , 2014bWang and Fariello, 2012;Wang, et al., 2006Wang, et al., , 2009b). ...