SOFT LATTICES(IDEALS, FILTERS) RELATED TO FUZZY POINT


YILMAZ Ş. , KAZANCI O.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.75, ss.75-90, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 75 Konu: 3
  • Basım Tarihi: 2013
  • Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
  • Sayfa Sayıları: ss.75-90

Özet

Inspired by the study of algebraic structures of soft sets, our aim in this paper is to initiate research on the connection between soft sets and lattices. We apply the notion of soft sets to lattices. Some related notions are defined and several basic properties are discussed by using the soft set theory. Furthermore, the concept of is an element of-soft set, q-soft set and q(k)-soft set is introduced and some interesting properties are investigated. Using the notion of "belongingness" and "quasicoincidence" of fuzzy points and fuzzy sets, characterizations for an is an element of-soft set, q-soft set and q(k)-soft set to be a soft ideal(filter) are established.