Abstract
Very well known and important is the theory of the existence and uniqueness of measures invariant under a shift on a group (so-called Haar measure) in some groups. It was studied in many spaces and transformations. Such measure m is defined on a family \(\mathcal {F}\) of sets and such that \(m(T^{-1}(A))=m(A)\) for any \(A\in \mathcal {F}.\) In the paper instead of sets intuitionistic fuzzy sets (IF-sets) are studied. As a special case the theory of invariant measures on fuzzy sets can be obtained.
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Michalíková, A., Riečan, B. (2018). On Invariant Measures on Intuitionistic Fuzzy Sets. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_46
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DOI: https://doi.org/10.1007/978-3-319-66824-6_46
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