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Erschienen in:
A New Fuzzy-Rough Hybrid Merit to Feature Selection Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

Algebraic Semantics of Proto-Transitive Rough Sets

verfasst von : A. Mani

Erschienen in: Transactions on Rough Sets XX

Verlag: Springer Berlin Heidelberg

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Abstract

Rough Sets over generalized transitive relations like proto-transitive ones have been initiated recently by the present author. In a recent paper, approximation of proto-transitive relations by other relations was investigated and the relation with rough approximations was developed towards constructing semantics that can handle fragments of structure. It was also proved that difference of approximations induced by some approximate relations need not induce rough structures. In this research, the structure of rough objects is characterized and a theory of dependence for general rough sets is developed and used to internalize the Nelson-algebra based approximate semantics developed earlier by the present author. This is part of the different semantics of PRAX developed in this paper by her. The theory of rough dependence initiated in earlier papers is extended in the process. This paper is reasonably self-contained and includes proofs and extensions of representation of objects that have not been published earlier.

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Vorheriges Kapitel Greedy Algorithm for the Construction of Approximate Decision Rules for Decision Tables with Many-Valued Decisions
Nächstes Kapitel Covering Rough Sets and Formal Topology – A Uniform Approach Through Intensional and Extensional Constructors
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Metadaten
Titel
Algebraic Semantics of Proto-Transitive Rough Sets
verfasst von
A. Mani
Copyright-Jahr
2016
Verlag
Springer Berlin Heidelberg
Buch
Transactions on Rough Sets XX

Print ISBN: 978-3-662-53610-0

Electronic ISBN: 978-3-662-53611-7

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-662-53611-7_3

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