Applications of interval-valued fuzzy sub-hypernear-rings with respect to t-norms (t-conorms)


KAZANCI O. , YAMAK S.

10th International Congress on Algebraic Hyperstructures and Applications, Brno, Czech Republic, 3 - 09 September 2008, pp.173-189 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • City: Brno
  • Country: Czech Republic
  • Page Numbers: pp.173-189

Abstract

In this paper, we consider a hypernear-ring R and introduce the concept of an interval-valued fuzzy sub-hypernear-ring with respect to t-norm T (t-conorm S). A necessary and sufficient condition for an interval-valued fuzzy subset to be an interval-valued fuzzy sub-hypernear-ring is given and its basic properties are discussed. Also, we consider the fundamental relation gamma* on a hypernear-ring R and prove a fundamental theorem concerning the near-ring R/gamma*.