English

On some difficulties in the addition of trapezoidal ordered fuzzy numbers

Discrete Mathematics 2017-10-11 v1

Abstract

At the first, we revise the Kosinski definition of the sum of ordered fuzzy numbers. The associativity of revised sum is investigated here. In addition, we show that the multiple revised sum of finite sequence of trapezoidal ordered fuzzy numbers depends on its summands ordering.

Keywords

Cite

@article{arxiv.1710.03541,
  title  = {On some difficulties in the addition of trapezoidal ordered fuzzy numbers},
  author = {Anna Łyczkowska-Hanćkowiak and Krzysztof Piasecki},
  journal= {arXiv preprint arXiv:1710.03541},
  year   = {2017}
}