Release Time:2019-03-11  Hits:

Indexed by: Conference Paper

Date of Publication: 2008-10-18

Included Journals: Scopus、CPCI-S、EI

Volume: 1

Page Number: 372-+

Key Words: fuzzy sublattice; fuzzy point; consensus space; C-fuzzy Sublattice

Abstract: In this paper, we present two approaches to define fuzzy sublattice. Firstly, by the use of the relations betwe-en fuzzy points and fuzzy subsets, definition of ((beta) over bar, (alpha) over bar)-fuzzy sublattice is given. We have shown that the acceptable non-trival concepts obtained in this manner are the (epsilon,epsilon) -fuzzy sublattice, (epsilon, epsilon boolean OR q)-fuzzy subla-ttice and ((epsilon) over bar, (epsilon) over bar boolean OR (q) over bar)-fuzzy sublattice. Secondly, based on the theory of a consensus space presents by Hisakichi Suzuki, concept of C -juz2y sublattice is acquired. It is pointed that (epsilon, epsilon) -juz2y sublattice is C -fuzzy sublattice and C-fuzzy sublattice is defined on a t-norm. Finally, it is proved that C -fuzzy sublattice is isomorphic to C -fuzzy sublattice generated by a sublattice