In a series of papers initiated by Resconi et al. [1], interpretations for various uncertainty theories were proposed, including fuzzy set theory, Dempster-Shafer theory, and possible theory, using mdels of modal logic [1-2-3]. there were two main reasons for pursuign research in this direction. The first reason was to offer the standard semantics of modal logic as a unifying framework within which it would be possible to compare and relate uncertainty theories to each other. Since, from time to time, some of the uncertainty theries are questioned regarding their internal adequateness, the second reason was to support them by developing itnerpretations for them in a relatively well-established area: in our case, modal logic. This paper is a summary of these efforts. To avoid unnecessary repetition of previous material, we will not repeat all the basic definitions and properties; the reader is referred to relevant literature for fuzzy set theory [5], for possibility theory [3], for Dempster-Shafer theory [4], and for modal logic [8]. A more through treatment of the material summarised in this paper is covered in the above-mentioned papers [4,5].
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