A structure of fuzzy systems for support of decision making

Abstract

The aim of this paper is to introduce the notions of operation and mapping between general fuzzy decision systems (GFDS) over some decision space (V, C), where V is a set of variants and C is a set of criteria. The operations between two decision systems make possible to combine several decision system of different experts and the mappings between two decision systems enable to study structural properties of such systems. Relations between utility function h : V --> [0, 1] and operations, and further, mappings between GFDS are investigated, too.