 | Allen Kent - 2000 - 396 pages
...supervised and unsupervised learning. Let us introduce the main concepts of the RS theory. Let U denote a nonempty finite set of objects called the universe and A a nonempty finite set of attributes. Each object* GU is assumed to be described by a subset of attributes B,B c A. The basic concept of... | |
 | Z. Pawlak - 1991 - 256 pages
...Formally, a knowledge representation system can be formulated as follows. Knowledge Representation System is a pair S = (U, A), where U - is a nonempty, finite set called the universe. A - is a nonempty, finite set of primitive attributes. Every primitive attribute... | |
 | Lech Polkowski, Shusaku Tsumoto, Tsau Y. Lin - 2000 - 704 pages
...artificial intelligence applications. In this subsection, we will discuss some terminology associated with information systems. An information system is a pair S = (U, A), where U - is a non-empty, finite set called the universe, A - is a non-empty, finite set of attributes, ie, a : U -> Va for a 6 A, where... | |
 | Allen Kent, James G. Williams - 2000 - 408 pages
...and unsupervised learning. Let us introduce the main concepts of the rough set theory. Let U denote a nonempty finite set of objects called the universe and A a nonempty finite set of attributes. Each object x GU is assumed to be described by a subset of attributes B, BC A. The basic concept of... | |
 | Witold Pedrycz - 2001 - 410 pages
...a human expert or user. This table is called an information system. More formally, it is a pair A = (U, A) where U is a non-empty finite set of objects called the universe and A is a non-empty finite set of attributes such that a : U -> Va for every ae A. The set Va is called... | |
 | Sankar K. Pal, Pal. Amita - 2001 - 644 pages
...human expert or user. This table is called an information system. More formally, it is a pair A = (U,A) where U is a non-empty finite set of objects called the universe and A is a non-empty finite set of attributes such that a : U — » Va for every a € A. The set Va is... | |
 | Sankar Kumar Pal, Lech Polkowski - 2003 - 780 pages
...picture about rough set theory more formally. Definition 1. An information system is any pair !A. = (UA) where U is a nonempty finite set of objects called the universe and A is a nonempty finite set of attributes such that a : U — Va for every ae A. The set Va is called... | |
 | Nikhil R. Pal, Michio Sugeno - 2002 - 1046 pages
...we write this relation using notation aj/Qa2. Definition 4. [4] An Information System or a KR-system is a pair S = (U, A) where U - is a nonempty, finite set called the universe, A - is a finite set of attributes, V = IJoe>i ^» wnere K» *s called the domain... | |
 | AJOY KUMAR RAY, TINKU ACHARYA - 2004 - 640 pages
...an attribute value. Let us present some preliminaries, mainly the works of Pawlak [7]. Definition: An information system is a pair S = (U, A) where U is a nonempty, finite set called 'the universe'. A is a finite set of attributes V = ua6A Va, where Va is called the domain of... | |
 | Sushmita Mitra, Tinku Acharya - 2005 - 423 pages
...schematic diagram of a rough set. Let us now present some requisite preliminaries of rough set theory. An information system is a pair S =< U, A >, where U is a nonempty finite set called the universe and A is a nonempty finite set of attributes {a}. An attribute a in A can be regarded... | |
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More formally, an information system can be noted as a pair (U, A) , where U is a non-empty finite set of objects called the universe and A is a non-empty finite set of attributes... 
