English

The solution of Hutn\'ik's open problem

Statistics Theory 2015-05-01 v1 Statistics Theory

Abstract

In this note, we give a solution to Problem 9.29.2, which was presented by Mesiar and Stup\v{n}anov\'a [{\it Open problems from the 12th International Conference on Fuzzy Set Theory and Its Applications}, Fuzzy Sets and Systems (2014), http://dx.doi.org/10.1016/ j.fss.2014.07.012]. We show that the class of semicopulas solving Problem 9.29.2 contains only the {\L}ukasiewicz t-norm.

Cite

@article{arxiv.1410.7261,
  title  = {The solution of Hutn\'ik's open problem},
  author = {Michał Boczek and Marek Kaluszka},
  journal= {arXiv preprint arXiv:1410.7261},
  year   = {2015}
}

Comments

3 pages

R2 v1 2026-06-22T06:37:22.429Z