Type-1 to Type-n Fuzzy Logic and Systems

  • M. H. Fazel ZarandiEmail author
  • R. Gamasaee
  • O. Castillo
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 341)


In this chapter, the motivation for using fuzzy systems, the mathematical concepts of type-1 to type-n fuzzy sets, logic, and systems as well as their applications in solving real world problems are presented.


Type-n fuzzy sets Type-2 fuzzy sets T-norm S-norm Takagi-Sugeno-Kang (TSK) fuzzy system 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • M. H. Fazel Zarandi
    • 2
    • 1
    Email author
  • R. Gamasaee
    • 1
  • O. Castillo
    • 3
  1. 1.Department of Industrial EngineeringAmirkabir University of TechnologyTehranIran
  2. 2.Knowledge Intelligent Systems LaboratoryUniversity of TorontoTorontoCanada
  3. 3.Division of Graduate StudiesTijuana Institute of TechnologyTomas Aquino TijuanaMexico

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