On the definition of a fuzzy subgroup
Fuzzy Sets and Systems
Rosenfeld's fuzzy subgroups with interval-valued membership functions
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Generalized fuzzy groups and many-valued implications
Fuzzy Sets and Systems
A new view of fuzzy hypernear-rings
Information Sciences: an International Journal
Approximations in n-ary algebraic systems
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue (pp 315-357) "Ordered structures in many-valued logic"
n-hypergroups and binary relations
European Journal of Combinatorics
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Generalized fuzzy bi-ideals of semigroups
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups
Information Sciences: an International Journal
Generalized fuzzy polygroups endowed with interval valued membership functions
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Computers & Mathematics with Applications
Applications of interval valued fuzzy n-ary polygroups with respect to t-norms (t-conorms)
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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Recently, fuzzy n-ary polygroups were introduced and analyzed by Davvaz, Corsini and Leoreanu-Fotea. Fuzzy n-ary polygroups are suitable generalizations of n-ary polygroups and a special case of fuzzy n-ary hypergroups. The aim of this paper is to introduce the notion of an interval-valued fuzzy n-ary subpolygroup of an n-ary subpolygroup and to extend the fuzzy n-ary subpolygroup to interval-valued (∈, ∈, ∨q)-fuzzy n-ary subpolygroup. We also consider the concept of implication-based interval-valued fuzzy n-ary sub-polygroup in an n-ary polygroup, in particular, the implication operators in £ukasiewicz system of continuous-valued logic are discussed.