Ethicists and economists commonly assume that if A is all things considered better than B, and B is all things considered better than C, then A is all things considered better than C. Call this principle Transitivity. Although it has great conceptual, intuitive, and empirical appeal, I will argue against it. Some philosophers believe that the concept of better than implies Transitivity, so Tran...

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...

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.