CATEGORIES OF FUZZY TOPOLOGY IN THE CONTEXT OF GRADED DITOPOLOGIES ON TEXTURES

Brown L. M., Stak A.

IRANIAN JOURNAL OF FUZZY SYSTEMS, cilt.11, sa.6, ss.1-20, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 6
  • Basım Tarihi: 2014
  • Dergi Adı: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-20
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This paper extends the notion of ditopology to the case where openness and closedness are given in terms of a priori unrelated grading functions. The resulting notion of graded ditopology is considered both in the setting of lattices and in that textures, the relation between the two approaches being discussed in detail. Interrelations between graded ditopologies and ditopologies on textures are also studied.