Fuzzy n-ary polygroups related to fuzzy points
Recently, fuzzy n-ary sub-polygroups were introduced and studied by Davvaz, Corsini and Leoreanu-Fotea [B. Davvaz, P. Corsini, V. Leoreanu-Fotea, Fuzzy n-ary sub-polygroups, Comput. Math. Appl. 57 (2008) 141-152]. Now, in this paper, the concept of (epsilon, epsilon boolean OR q)-fuzzy n-ary sub-polygroups, ((epsilon) over bar, (epsilon) over bar boolean OR (q) over bar)-fuzzy n-ary sub-polygroups and fuzzy n-ary sub-polygroup with thresholds of an n-ary polygroup are introduced and some characterizations are described. Also, we give the definition of implication-based fuzzy n-ary sub-polygroups in an n-ary polygroup, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed. (C) 2009 Elsevier Ltd. All rights reserved.
n-ary polygroup fuzzy n-ary sub-polygroup hypergroup n-ary hypergroup fuzzy set quasi-coincident with (epsilon, epsilon boolean or q)-fuzzy n-ary sub-polygroup ((epsilon)over-bar, (epsilon)over-bar boolean or (q)over-bar)-fuzzy n-ary sub-polygroup