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Abstract

In this study we initiate research on set-theoretical operations over Z-sets. We formalize set theoretic operations as complement, union and intersection of Z-sets. Some important properties of these set-theoretic operations are studied.

Keywords

Z-arithmetic Probabilistic arithmetic Associativity law Commutativity law Z-sets 

References

  1. 1.
    Aliev, R.A., Alizadeh, A.V., Huseynov, O.H.: The arithmetic of discrete Z-numbers. Inform. Sci. 290, 134–155 (2015)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Aliev, R.A., Alizadeh, A.V., Huseynov, O.H.: The arithmetic of continuous Z-numbers. Inform. Sci. 373, 441–460 (2016)CrossRefGoogle Scholar
  3. 3.
    Piegat, A., Plucinski, M.: Computing with words with the use of Inverse RDM Models of Membership Functions. Appl. Math. Comput. Sci. 25(3), 675–688 (2015)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Control and Systems EngineeringAzerbaijan State Oil and Industry UniversityBakuAzerbaijan

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