ABSTRACT
Near sets introduced in (Peters, 2007b,c; Henry and Peters, 2009d), elaborated in (Peters and Wasilewski, 2009; Peters, 2009c, 2010; Peters and Wasilewski, 2010) and their applications (Peters, 2009b,c; Peters and Ramanna, 2009; Henry and Peters, 2007, 2008; Hassanien, Abraham, Peters, Schaefer, and Henry, 2009; Peters, Shahfar, Ramanna, and Szturm, 2007a; Peters and Ramanna, 2007; Gupta and Patnaik, 2008; Henry and Peters, 2009c; Fashandi, Peters, and Ramanna, 2009; Meghdadi, Peters, and Ramanna, 2009; Peters and Puzio, 2009) grew out of a generalization of the approach to the classification of objects proposed by Z. Pawlak during the early 1980s (see, e.g., (Pawlak, 1981, 1982), elaborated in (Pawlak and Skowron, 2007a,b,c)), E. Or lowska’s suggestion that approximation spaces are the formal counterpart of perception or observation (Or lowska, 1982), and a study of the nearness of objects (Peters, Skowron, and Stepaniuk, 2006, 2007b). This chapter introduces the NEAR system (available for downloading for free at (Peters, 2009a)), an application implemented to demonstrate and visualize concepts from near set theory reported in (Henry and Peters, 2007; Peters, 2007a,c; Henry and Peters, 2008; Peters, 2008; Peters and Ramanna, 2009; Peters, 2009b; Henry and Peters, 2009c; Peters and Wasilewski, 2009; Peters, 2009c; Hassanien et al., 2009; Henry and Peters, 2009b).
