On fuzzy sets and rough sets from the perspective of indiscernibility

Authors:
Mihir K. Chakraborty
Affiliations:
Center for Cognitive Science, Jadavpur University, Kolkata, India and Indian Statistical Institute, Kolkata
Venue:
ICLA'11 Proceedings of the 4th Indian conference on Logic and its applications
Year:
2011

Citing 11
Cited 1

Foundations of fuzzy sets

Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Monoidal closed categories, weak topoi and generalized logics

Fuzzy Sets and Systems - Special issue on mathematical aspects of fuzzy sets
Equality relations as a basis for fuzzy control

Fuzzy Sets and Systems
Rough membership functions

Advances in the Dempster-Shafer theory of evidence
Fuzzy sets and vague environments

Fuzzy Sets and Systems - Special issue on diagnostics and control through neural interpretations of fuzzy sets
The three semantics of fuzzy sets

Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
A comparative study of fuzzy rough sets

Fuzzy Sets and Systems
Vagueness - a Rough Set View

Structures in Logic and Computer Science, A Selection of Essays in Honor of Andrzej Ehrenfeucht
Rough sets and fuzzy sets

Fuzzy Sets and Systems
A comparative study of fuzzy sets and rough sets

Information Sciences: an International Journal
Modeling and Reasoning with Paraconsistent Rough Sets

Fundamenta Informaticae

Membership function based rough set

International Journal of Approximate Reasoning

Quantified Score

Hi-index	0.00

Visualization

Abstract

The category theoretic approach of Obtułowicz to Pawlak's rough sets has been reintroduced in a somewhat modified form. A generalization is rendered to this approach that has been motivated by the notion of rough membership function. Thus, a link is established between rough sets and L-fuzzy sets for some special lattices. It is shown that a notion of indistinguishability lies at the root of vagueness. This observation in turn gives a common ground to the theories of rough sets and fuzzy sets.