TY - JOUR
T1 - Symmetric difference operators for fuzzy sets
AU - Agell, Núria
AU - Rovira, Roser
PY - 1989/3/20
Y1 - 1989/3/20
N2 - Generalizing the classic definition of the symmetric difference operator in the lattice (P(X), min, max, 1-j) we obtain four equivalent representations of this operator. Nevertheless, if we consider another De Morgan triplet in P(X) extending the four representations we obtain four different operators. The purpose of this paper is to compare and analyze these four operators describing their properties and studying the cases in which they are equivalent.
AB - Generalizing the classic definition of the symmetric difference operator in the lattice (P(X), min, max, 1-j) we obtain four equivalent representations of this operator. Nevertheless, if we consider another De Morgan triplet in P(X) extending the four representations we obtain four different operators. The purpose of this paper is to compare and analyze these four operators describing their properties and studying the cases in which they are equivalent.
KW - De Morgan triplets
KW - symmetric difference
UR - http://www.scopus.com/inward/record.url?scp=45149143622&partnerID=8YFLogxK
U2 - 10.1016/0165-0114(89)90174-7
DO - 10.1016/0165-0114(89)90174-7
M3 - Article
AN - SCOPUS:45149143622
SN - 0165-0114
VL - 30
SP - 5
EP - 10
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
IS - 1
ER -