SOFT BOOLEAN ALGEBRA AND ITS PROPERTIES

Sahin R., Küçük A.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.18, sa.5, ss.803-814, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 5
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.803-814
  • Atatürk Üniversitesi Adresli: Evet

Özet

Molodtsov [21] introduced the concept of soft theory which can be used as a generic mathematical tool for dealing with uncertainty. In this paper, we apply the notion of the soft set theory of Molodtsov to the theory of Boolean algebras which is a well-known algebraic structure. We introduce the concepts of soft filter and soft ideal on the soft Boolean algebra as well as notions of a soft Boolean algebra and soft Boolean homomorphism, and investigate basic properties as intersection, union and product of the soft Boolean algebras. Also we give several illustrative examples.