Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups

A new type of fuzzy n-ary hyperstructures

“…They generalyzed n-ary hypergroups in a similar way as Rosenfeld did for groups [11]. Many other interesting papers have been written in this direction [3,4,6,13,14]. We consider here a new type of fuzzy n-ary hypergroups, which are obtained in the following manner: with any n-uple of elements of an nonempty set S we associate a fuzzy subset, instead of a nonempty subset of S. In fact, this is a generalization of the definition given by Sen, Ameri and Chowdhury in the context of semihypergroups [12].…”

Applications of interval valued fuzzy n-ary polygroups with respect to t-norms (t-conorms)

“…Interval-valued fuzzy n-ary subhypergroups were investigated by Yamak, Kazanci and Davvaz in [36]. Now, we investigate interval-valued fuzzy n-ary subpolygroups.…”

Interval additive generators of interval t-norms and interval t-conorms

“…Recent advances in theoretical and applied research on interval fuzzy sets are due to Zeng and Guo [124], Wang et al [112], Deschrijver [27][28][29][30], Bustince et al [18,19], Yager [115], Yamak et al [116], Gasse et al [41], Bedregal et al [10,11,91], among other authors.…”