Abstract
The paper gives a contribution to the study of fuzzy real numbers, continuing that in Eklund and Gähler (1988), Gähler and Gähler (1992) and Gähler (1992). We start with investigating algebraic properties using two types of decompositions of fuzzy numbers and the notions of fuzzy norm, of symmetric difference and of supplements of fuzzy numbers. By means of these notions two special fuzzy metrics on the fuzzy real line are given, the fuzzy distance function d and the extended fuzzy distance function d . The main interest concerns fuzzy topological properties of the fuzzy real line. In particular, there are studied the fuzzy topologies T, T d and T d . T is closely related to the fuzzy topology of Hutton's fuzzy unit interval and T d and T d are canonically generated by the fuzzy metrics d and d , respectively.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
