Authors
Citation
Kl. Zhang, THE INVERSE PROBLEM FOR DISTRIBUTIVE LATTICES, Fuzzy sets and systems, 59(1), 1993, pp. 109-113
Citations number
7
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Computer Applications & Cybernetics","Statistic & Probability",Mathematics
Journal title
ISSN journal
01650114
Volume
59
Issue
1
Year of publication
1993
Pages
109 - 113
Database
ISI
SICI code
0165-0114(1993)59:1<109:TIPFDL>2.0.ZU;2-J
Abstract
The inverse problem: given A in V(L)(n), B in V(L)(m) and B' in V(L)(m
), find all A' in V(L)(n) such that A'. (A X B) = B', where L is a dis
tributive lattice, . denotes max-min composition, V(L)(n) denotes the
set of all vector with n member on L and X: (a1, a2,..., a(n)) X (b1,
b2,..., b(n)) = (a(i) AND b(j))nxm, is investigated. The necessary and
sufficient condition for the existence of a solution is shown and an
analytical solution is given.