• 제목/요약/키워드: Intuitionistic fuzzy preorder

검색결과 2건 처리시간 0.015초

Intuitionistic Fuzzy Topology and Intuitionistic Fuzzy Preorder

  • Yun, Sang Min;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제15권1호
    • /
    • pp.79-86
    • /
    • 2015
  • This paper is devoted to finding relationship between intuitionistic fuzzy preorders and intuitionistic fuzzy topologies. For any intuitionistic fuzzy preordered space, an intuitionistic fuzzy topology will be constructed. Conversely, for any intuitionistic fuzzy topological space, we obtain an intuitionistic fuzzy preorder on the set. Moreover, we will show that the family of all intuitionistic fuzzy preorders on an underlying set has a very close link to the family of all intuitionistic fuzzy topologies on the set satisfying some extra condition.

범주 IRe $l_{R}$(H)의 부분범주 (Some Subcategories of The Category IRe$l_{R}$(H))

  • K. Hur;H. W. Kang;J. H. Ryou;H. K. Song
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 2003년도 춘계 학술대회 학술발표 논문집
    • /
    • pp.29-32
    • /
    • 2003
  • We introduce the subcategories IRe $l_{PR}$ (H), IRe $l_{PO}$ (H) and IRe $l_{E}$(H) of IRe $l_{R}$(H) and study their structures in a viewpoint of the topological universe introduced by L.D.Nel. In particular, the category IRe $l_{R}$(H)(resp. IRe $l_{P}$(H) and IRe $l_{E}$(H)) is a topological universe eve, Set. Moreover, we show that IRe $l_{E}$(H) has exponential objects.ial objects.

  • PDF