Affiliation:
1. Indian Institute of Technology Indore, Indore, India
Abstract
The notions of strong/weak approximations have been studied extensively in recent years. These approximations are based on a structure of the form (
W,{R
i
}
i∈ N
), called the multiple-source approximation system, where
R
i
is an equivalence relation on
W
, and
N
is an initial segment of the set N of natural numbers. We propose and explore a simple modal language and semantics that can be used to reason about the strong/weak approximations of concepts. Moreover, our study is not confined to collections of equivalence relations only, but other types of relations are also considered. This study is important, keeping in view the notions of generalized approximation spaces with relations other than equivalence.
Funder
Science and Engineering Research Board, Department of Science and Technology, Government of India
Publisher
Association for Computing Machinery (ACM)
Subject
Computational Mathematics,Logic,General Computer Science,Theoretical Computer Science
Reference43 articles.
1. P. Blackburn M. de Rijke and Y. Venema. 2001. Modal Logic. Cambridge University Press. P. Blackburn M. de Rijke and Y. Venema. 2001. Modal Logic. Cambridge University Press.
2. R. Fagin J. Y. Halpern Y. Moses and M. Y. Vardi. 1995. Reasoning About Knowledge. The MIT Press. R. Fagin J. Y. Halpern Y. Moses and M. Y. Vardi. 1995. Reasoning About Knowledge. The MIT Press.
Cited by
2 articles.
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