In a response to Block and Barnett (2012), this paper clarifies some misunderstandings about the concept of transitivity and shows its relation to rationality, asynchronicity of choice, and indifference analysis. It is demonstrated that Block and Barnett, contrary to their self-interpretation, do not in fact attack transitivity but the assumption of stable preferences. It is argued that the sta...

In this paper, we first give the cartesian product of two neutrosophic multi sets(NMS). Then, we define relations on neutrosophic multi sets to extend the intuitionistic fuzzy multi relations to neutrosophic multi relations. The relations allows to compose two neutrosophic sets. Also, various properties like reflexivity, symmetry and transitivity are studied. AMS 03E72, 08A72 Keyword 0.1 Neutro...

Recent work of Lazarovich provides necessary and sufficient conditions on a graph L for there to exist a unique simply-connected (k, L)-complex. The two conditions are symmetry properties of the graph, namely star-transitivity and st(edge)-transitivity. In this paper we investigate star-transitive and st(edge)-transitive graphs by studying the structure of the vertex and edge stabilisers of suc...

To detect hard-to-find concurrency bugs, current tools systematically explore all possible interleavings of the transitions in a program. Unfortunately, concurrent programs have a large number of possible interleavings due to nondeterminism. Speeding up such tools requires pruning the state space explored. Partial-order reduction (POR) techniques can substantially prune the number of explored i...

Parthood is a relation of fundamental importance in a number of disciplines including cognitive science, linguistics and conceptual modeling. However, one classical problem for conceptual modeling theories of parthood is deciding on the transitivity of these relations. This issue is of great importance since transitivity plays a fundamental role both conceptually (e.g., to afford inferences in ...

This paper tests a novel implication of the original version of prospect theory (Kahneman and Tversky, 1979): that choices may systematically violate transitivity. Some have interpreted this implication as a weakness, viewing it as an anomaly generated by the ‘editing phase’ of prospect theory which can be rendered redundant by an appropriate re-specification of the preference function. Althoug...

Consider the following properties of a binary relation ≤ on a set X: (Reflexivity) For all x ∈ X, x ≤ x. (Anti-Symmetry) For all x, y ∈ X, if x ≤ y and y ≤ x, then x = y. (Transitivity) For all x, y, z ∈ X, if x ≤ y and y ≤ z, then x ≤ z. (Totality) For all x, y ∈ X, either x ≤ y or y ≤ x. A relation which satisfies reflexivity and transitivity is called a quasi-ordering. A relation which satis...

The Sinhala volitive/involitive contrast is characterized by verb stem and subject case marking alternations, and broadly indicates the volitionality/non-volitionality of the subject, plus other co-varying features. While superficially a high/low transitivity split à la Hopper and Thompson (1980), we argue that the distinction actually emerges from the interaction of just two factors: a realis/...

We shed some light on the problem of determining the orbits of the braid group action on semiorthonormal bases of Mukai lattices as considered in [7] and [8]. We show that there is an algebraic (and in particular algorithmic) equivalence between this problem and the Hurwitz problem for integer matrix groups finitely generated by involutions. In particular we consider the case of K0(P n) n > 4 w...

An important source of high clustering coefficient in real-world networks is transitivity. However, existing approaches for modeling transitivity suffer from at least one of the following problems: i) they produce graphs from a specific class like bipartite graphs, ii) they do not give an analytical argument for the high clustering coefficient of the model, and iii) their clustering coefficient...