1,864 research outputs found
Some remarks on fuzzy powerset operators
No full textFuzzy powerset operators related to morphisms of underlying ground categories of categories of fuzzy topological spaces
are considered and some properties of such operators related to isomorphisms, fuzzy points and order reversing involutions
are verified
A larger class of reconstructible tournaments
No full textAbstractIn this paper we show that the hamiltonian tournaments Hm, m ⩾ 4, with a normal simple quotient are reconstructible from their cards if we exclude one tournament of order 5 and two tournaments with 6 vertices. We denote by the class of such tournaments. The class of hamiltonian tournaments with a normal simple quotient contains the hamiltonian tournaments with the least number of 3-cycles (see [7]) and the ones that have only one hamiltonian cycle (see [19]). Of course, contains the class of normal tournaments with at least 4 vertices which was already considered in [8].The class has a small overlapping with the class of reconstructible simply disconnected tournaments (see [19]), which extends the class ℋ ℳ of reconstructible hamiltonian Moon tournaments (see [12]), and an empty intersection with the class ℛ of reducible tournaments with at least 5 vertices considered in [13]. More precisely and the classes and intersect in their tournaments with simple quotient C3
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