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Granular Reasoning Using Zooming In & Out: Part 2. Aristotle's Categorical Syllogism
Authors:Tetsuya Murai   Yoshiharu Sato   Germano Resconi  Michinori Nakata  
Affiliation:aGraduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan;bDipartimento di Matematica, Universita Cattolica 25128 Brescia, Italy;cFaculty of Management & Information Sciences, Josai International University, Togane, Chiba 283-8555, Japan
Abstract:The concept of granular computing is applied to Aristotle's categorical syllogism. Such kind of reasoning is called granular reasoning in this paper. For the purpose, two operations called zooming in & out are introduced to reconstruct granules of possible worlds.
Keywords:Granular reasoning   zooming in &   out   filtration   Aristotle's syllogism
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