Abstract
In this study, we introduce some systems of subsets of intuitionistic fuzzy special sets (IFSS); namely, intuitionistic fuzzy special σ-algebra (IFSσ-A), intuitionistic fuzzy special algebra, intuitionistic fuzzy special ring and intuitionistic fuzzy special Dynkin system. We also introduce the concepts of intuitionistic fuzzy special measurability of IFSS, intuitionistic fuzzy special measures and intuitionistic fuzzy special measurable functions. Finally, consequences of these concepts and some basic results are given.
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