Choice of Implication Functions to Reduce Uncertainty in Interval Type-2 Fuzzy Inferences

  • Sumantra Chakraborty
  • Amit Konar
  • Ramadoss Janarthanan
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 27)


Selection of implication function is a well-known problem in Type-1 fuzzy reasoning. Several comparison of type-1 implications have been reported using set of (nine) standard axioms. This paper attempts to select the most efficient implication function that results in minimum uncertainty in the interval type-2 inference. An analysis confirms that Lukasiewicz-1/Lukasiewicz-2 membership function is most efficient in the present context.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Sumantra Chakraborty
    • 1
  • Amit Konar
    • 1
  • Ramadoss Janarthanan
    • 2
  1. 1.Electronics and Tele-Communication Engineering DepartmentJadavpur UniversityKolkataIndia
  2. 2.Computer Science and Engineering DepartmentTJS Engineering CollegeChennaiIndia

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