(L,⊙)-approximation spaces and (L,⊙)-fuzzy quasi-uniform spaces

  • Authors:

  • Yong Chan Kim;Young Sun Kim

  • Affiliations:

  • Department of Mathematics, Kangnung National University, Gangneung, Gangwondo 210-702, Republic of Korea;Department of Applied Mathematics, Pai Chai University, Daejeon 302-735, Republic of Korea

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

We introduce the notion of generalized L-upper and generalized L-lower approximation spaces under a family of information systems. We define (L,@?)-upper and (L,@?)-lower quasi-approximation operators in fuzzy rough sets and (L,@?)-fuzzy quasi-uniform spaces as a view point of the entourage approach in a strictly two-sided, commutative (bi)-quantale. We investigate the relations between (L,@?,@?)-quasi-approximation spaces and (L,@?)-fuzzy quasi-uniform spaces.