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Soft sets combined with interval valued intuitionistic fuzzy sets of type-2 and rough sets
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 2)Publication Date: 2015-06-01
Authors : Anjan Mukherjee; Abhijit Saha;
Page : 199-218
Keywords : Soft set rough set soft rough set soft rough fuzzy set soft fuzzy rough set interval valued intuitionistic fuzzy set of type-2interval valued intuitionistic fuzzy soft set of type-2 soft roughinterval valued intuitionistic fuzzy set of type-2soft interval;
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Abstract
Fuzzy set theory, rough set theory and soft set theory are all mathematical tools dealing with uncertainties. The concept of type-2 fuzzy sets was introduced by Zadeh in 1975 which was extended to interval valued intuitionistic fuzzy sets of type-2 by the authors.This paper is devoted to the discussions of the combinations of interval valued intuitionistic sets of type-2, soft sets and rough sets.Three different types of new hybrid models, namely-interval valued intuitionistic fuzzy soft sets of type-2, soft rough interval valued intuitionistic fuzzy sets of type-2 and soft interval valued intuitionistic fuzzy rough sets of type-2 are proposed and their properties are derived.
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