articleIEEE Transactions on Fuzzy SystemsAug 30, 2016Closed access

Generalized Orthopair Fuzzy Sets

RRRonald R. Yager

Iona College

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Abstract

We note that orthopair fuzzy subsets are such that that their membership grades are pairs of values, from the unit interval, one indicating the degree of support for membership in the fuzzy set and the other support against membership. We discuss two examples, Atanassov's classic intuitionistic sets and a second kind of intuitionistic set called Pythagorean. We note that for classic intuitionistic sets the sum of the support for and against is bounded by one, while for the second kind, Pythagorean, the sum of the squares of the support for and against is bounded by one. Here we introduce a general class of these sets called q-rung orthopair fuzzy sets in which the sum of the qth power of the support for and…

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Topics & keywords

Topics
Keywords
  • Mathematics
  • Bounded function
  • Fuzzy set
  • Unit interval
  • Discrete mathematics
  • Fuzzy logic
  • Set (abstract data type)
  • Degree (music)
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