Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups
Information Sciences: an International Journal
Computers & Mathematics with Applications
Atanassov's intuitionistic (S,T)-fuzzy n-ary sub-hypergroups and their properties
Information Sciences: an International Journal
Applications of interval valued fuzzy n-ary polygroups with respect to t-norms (t-conorms)
Computers & Mathematics with Applications
Fuzzy n-ary polygroups related to fuzzy points
Computers & Mathematics with Applications
Generalized fuzzy n-ary subpolygroups endowed with interval valued membership functions
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
Pawlak's approximations in Γ-semihypergroups
Computers & Mathematics with Applications
The ϑ-lower and T-upper fuzzy rough approximation operators on a semigroup
Information Sciences: an International Journal
Combinatorial aspects of n-ary polygroups and n-ary color schemes
European Journal of Combinatorics
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Algebraic systems have many applications in the theory of sequential machines, formal languages, computer arithmetics, design of fast adders and error-correcting codes. The theory of rough sets has emerged as another major mathematical approach for managing uncertainty that arises from inexact, noisy, or incomplete information. This paper is devoted to the discussion of the relationship between algebraic systems, rough sets and fuzzy rough set models. We shall restrict ourselves to algebraic systems with one n-ary operation and we investigate some properties of approximations of n-ary semigroups. We introduce the notion of rough system in an n-ary semigroup. Fuzzy sets, a generalization of classical sets, are considered as mathematical tools to model the vagueness present in rough systems.