Title: Algebraic approach to dependency of knowledge on rough set

Authors: Debadutta Mohanty

Addresses: Department of Mathematics, Seemanta Mohavidyalaya, Jharpokhoria, 757086, Mayurbhanj, Orissa, India

Abstract: The explosion of knowledge crops up embarrassing situations for the human beings to advance the research work in respect of comprehending uncertainty. A number of critical studies by the researchers had developed new theories and models in the past decades about roughness and fuzziness of the objects. Rough set and intuitionistic fuzzy set are some advancing theories which help the quest of dealing with vagueness and uncertainty. The present paper aims at drawing rough set and intuitionistic fuzzy sets together for establishing a new concept of rough intuitionistic fuzzy set in algebraic method where core and dependency of knowledge has been re-conceptualised for a boarder perspective.

Keywords: lower approximation; upper approximation; definable sets; rough sets; RIFS; rough intuitionistic fuzzy sets; knowledge dependency; reduct; core; uncertainty; vagueness; fuzzy logic; algebra.

DOI: 10.1504/IJGCRSIS.2012.049977

International Journal of Granular Computing, Rough Sets and Intelligent Systems, 2012 Vol.2 No.4, pp.281 - 291

Accepted: 28 Oct 2011
Published online: 29 Aug 2014 *

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