Some notices on genuine sets

Demirci M.

FUZZY SETS AND SYSTEMS, cilt.110, sa.2, ss.275-278, 2000 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 110 Sayı: 2
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0165-0114(98)00132-8
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.275-278
  • Anahtar Kelimeler: fuzzy sets, various kinds of fuzzy sets, fuzzy logic, genuine sets (VARF)
  • Akdeniz Üniversitesi Adresli: Evet

Özet

For a crisp and non-empty set X, nth-order genuine sets in X and the set-theoretic operations of equality, inclusion, complement, intersection and union among the nth-order genuine sets in X are introduced in [1]. In this paper, it is shown that one needs a natural assumption and some conditions restricting the selection of operations equality, inclusion, complement, intersection and union defined on the nth-order genuine set in X to present the nth-order genuine sets in X as an extension of the mth-order genuine sets in X (m less than or equal to n). (C) 2000 Elsevier Science B.V. All rights reserved.