Vague groups and generalized vague subgroups on the basis of ([0,1],<=,boolean AND)

Sezer S.

INFORMATION SCIENCES, cilt.174, sa.1-2, ss.123-142, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 1-2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.ins.2004.07.016
  • Dergi Adı: INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.123-142
  • Anahtar Kelimeler: fuzzy equality, fuzzy function, vague group, external direct product of vague groups, vague homomorphism, vague isomorphism, vague subgroup, generalized vague subgroup, VALUED EQUIVALENCE-RELATIONS, FUZZY FUNCTIONS, ARITHMETIC OPERATIONS, ALGEBRAIC NOTIONS, FOUNDATIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, various elementary properties of vague groups and some properties of vague binary operations related with their associativity aspects are obtained. Furthermore, the concept of vague isomorphism is defined and some basic properties of this concept are studied. The concept of external direct product of vague groups is established. Later the definition of generalized vague subgroup, which is a generalization of the vague subgroup defined by Demirci, is introduced, and the validity of some classical results in this setting is investigated on the basis of the particular integral commutative, complete quasi-monoidal lattice ([0, 1], <=, boolean AND ). (c) 2004 Elsevier Inc. All rights reserved.