Possible Rough Ingredients of Concepts in Approximation Spaces

Issue title: SPECIAL ISSUE ON CONCURRENCY SPECIFICATION AND PROGRAMMING (CS&P 2005) Ruciane-Nide, Poland, 28–30 September 2005

Article type: Research Article

Authors: Gomolińska, Anna

Affiliations: Department of Mathematics University of Białystok Akademicka 2, 15267 Białystok, Poland. E-mail: [email protected]

Abstract: We discuss the problem of rough ingredients and parts of concepts of an indiscernibility-based approximation space. The notion of a (rough) ingredient is extended to the notion of a possible (rough) ingredient, and analogously in the case of parts. The term "possible" means that a concept is perceived as a candidate for a future substitute of some ingredient. Our approach is in line with rough mereology except for allowing the empty concept for the sake of simplicity.

Keywords: approximation space, concept, closeness, rough mereology, ingredient/part

Journal: Fundamenta Informaticae, vol. 72, no. 1-3, pp. 139-154, 2006