A new characterization of fuzzy n-ary polygroups

作者：Kazanci O^*; Davvaz B; Yamak S

来源：Neural Computing & Applications, 2012, 21: S59-S68.

DOI：10.1007/s00521-011-0592-8

• Hypergroup
• n-ary hypergroup
• n-ary polygroup
• Fuzzy n-ary subpolygroup
• (is an element of, is an element of boolean OR qk)-fuzzy n-ary subpolygroup
• ((is an element of)over-bar (is an element of)over-bar boolean OR (q(k))over-bar)-fuzzy n-ary subpolygroup
• (is an element of, is an element of boolean OR q(k))-fuzzy cosets

In this paper, we introduce the notion of (is an element of, is an element of boolean OR q(k))-fuzzy n-ary subpolygroup and ((is an element of) over bar, (is an element of) over bar (q(k)) over bar)-fuzzy n-ary subpolygroup, which are generalization of (is an element of, is an element of boolean OR q)-fuzzy n-ary subpolygroup and ((is an element of) over bar, (is an element of) over bar (q(k)) over bar)-fuzzy n-ary subpolygroup of an n-ary polygroup. In particular, the notions of (is an element of, is an element of boolean OR q(k))-fuzzy-fuzzy cosets determined by (is an element of, is an element of boolean OR q(k))-fuzzy-fuzzy n-ary subplygroups are discussed.

• 出版日期2012-8