Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs

@article{Beliakov2014AveragingAF,
  title={Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs},
  author={Gleb Beliakov and Simon James},
  journal={2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)},
  year={2014},
  pages={298-305}
}
Rather than denoting fuzzy membership with a single value, orthopairs such as Atanassov's intuitionistic membership and non-membership pairs allow the incorporation of uncertainty, as well as positive and negative aspects when providing evaluations in fuzzy decision making problems. Such representations, along with interval-valued fuzzy values and the recently introduced Pythagorean membership grades, present particular challenges when it comes to defining orders and constructing aggregation… CONTINUE READING