Betweenness relations in probabilistic metric spaces

Richard A. Moynihan and Berthold Schweizer

Vol. 81 (1979), No. 1, 175–196

DOI: 10.2140/pjm.1979.81.175

Abstract

Four distinct versions of the betweenness concept for probabilistic metric spaces are defined and studied. Conditions under which some or all of the properties of metric betweenness are satisfied are determined and the relationships among the different concepts are investigated.

Mathematical Subject Classification 2000

Primary: 54E99

Milestones

Received: 29 October 1975

Revised: 17 May 1976

Published: 1 March 1979