Rough Approximations of Intuitionistic Fuzzy Sets

Conference Paper · September 2007with3 Reads
DOI: 10.1109/ICMLC.2007.4370793 · Source: IEEE Xplore
Conference: Machine Learning and Cybernetics, 2007 International Conference on, Volume: 7
Abstract

In this paper, rough approximations in intuitionistic fuzzy set theory are discussed. The concepts of intuitionistic rough fuzzy sets and intuitionistic fuzzy rough sets are introduced. Their basic properties and operations are examined.

  • [Show abstract] [Hide abstract] ABSTRACT: In this paper, firstly, two new operations of the intuitionistic fuzzy sets in a crisp approximation space are introduced. Using the new operations, some information lost problems in the computation of the rough set theory will be solved. Secondly, the parameters-related roughness measure of the intuitionistic fuzzy sets in a crisp approximation space is defined, and with the help of the two new proposed operations, we discuss the bounds about the parameters-related roughness measures of the union and intersection of the intuitionistic fuzzy sets in a crisp approximation space, respectively, which will be helpful to avoid unnecessary time and space in computation. Finally, we discuss the results and consider further work.
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