Browsing Research and Publications - Department of Mathematics by Author "Kim, Hee Sik"

Browsing Research and Publications - Department of Mathematics by Author "Kim, Hee Sik"

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  • Han, Jeong Soon; Kim, Hee Sik; Neggers, Joseph (2012)
    In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a question of ...
  • Kim, Hee Sik; Neggers, J.; So, Keum Sook (2016)
    In this paper, we introduce fuzzy rank functions for groupoids, and we investigate their roles in the semigroup of binary systems by using the notions of right parallelisms and ρ-shrinking groupoids.
  • Han, Jeong Soon; Kim, Hee Sik; Neggers, Joseph (2012)
    In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R, f(x + 2) = f(x + 1) + f(x). We develop the notion of Fibonacci functions using the concept of f-even ...
  • Kim, Hee Sik; Neggers, Joseph; So, Keum Sook (2012)
    In this paper we discuss Fibonacci functions using the (ultimately) periodicity and we also discuss the exponential Fibonacci functions. Especially, given a non-negative real-valued function, we obtain several exponential ...
  • Allen, P.J.; Kim, Hee Sik; Neggers, J. (2016)
    In this paper, we introduce the concept of several types of groupoids related to semigroups, viz., twisted semigroups for which twisted versions of the associative law hold. Thus, if (X, ∗) is a groupoid and if ϕ : X2 → ...

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