Recently, we introduced the framework of cycletransitivity as a general means of representing transitivity conditions on reciprocal relations. In this framework, for reciprocal relations, the concepts of T -transitivity and stochastic transitivity can be cast. The upper bound functions encountered in this framework for product-transitivity and dice-transitivity, conceptually related to the prob...

L1 transfer is generally regarded as an important characteristic of L2 acquisition, also one of the sources of learners’ errors. One of the primary transfer between English and Chinese lies in the verb usage since verbs that are transitive in Chinese may be intransitive in English, or vice versa. In the previous studies, the investigation on the syntactic transfer in verb transitivity is only o...

We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy further properties, the conjunctio...

Some characterizations on the chain recurrence, chain transitivity, chain mixing property,shadowing and $h$-shadowing for Zadeh's extension are obtained. Besides, it is provedthat a dynamical system is spatiotemporally chaotic provided that the Zadeh's extensionis Li-Yorke sensitive.

A classic paper by Tversky (Tversky, A. (1969). Intransitivity of preferences. Psychological Review, 76, 31–48.) reported that some people systematically violated transitivity of preference when choosing between specially constructed risky gambles. This conclusion remained controversial because his statistical analysis did not allow each participant to have a different true preference order. Re...