Fundamentals of M-vague algebra and M-vague arithmetic operations

Demirci M.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, cilt.10, sa.1, ss.25-75, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1142/s0218488502001326
  • Dergi Adı: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.25-75
  • Anahtar Kelimeler: fuzzy algebra, fuzzy group, vague group, fuzzy function, fuzzy equality, indistinguishability operator, FUZZY FUNCTIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In the present work, the development of a new and general theory of algebraic concepts based on *-fuzzy equalities and strong fuzzy functions is begun, and several fundamental results are established under the name M-vague algebra. As a natural implementation of the M-vague algebraic approach, new kinds of arithmetic operations, namely M-vague arithmetic operations, are introduced using an approach different from the traditional approach to fuzzy arithmetic operations, and various kinds of M-vague algebraic properties of M-vague arithmetic operations are investigated.