Aggregating fuzzy subgroups and T-vague groups
Tipus de documentArticle
Condicions d'accésAccés obert
Fuzzy subgroups and T-vague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, T-vague groups can be identified with quotient groups of a group by a normal fuzzy subgroup and there is a close relation between both structures and T-indistinguishability operators (fuzzy equivalence relations). In this paper the functions that aggregate fuzzy subgroups and T-vague groups will be studied. The functions aggregating T-indistinguishability operators have been characterized  and the main result of this paper is that the functions aggregating T-indistinguishability operators coincide with the ones that aggregate fuzzy subgroups and T-vague groups. In particular, quasi-arithmetic means and some OWA operators aggregate them if the t-norm is continuous Archimedean.
CitacióBoixader, D., Mayor, G., Recasens, J. Aggregating fuzzy subgroups and T-vague groups. "Advances in Intelligent Systems and Computing", 1 Gener 2018, vol. 581, p. 40.
Versió de l'editorhttps://link.springer.com/chapter/10.1007%2F978-3-319-59306-7_5