MODAL FUNCTIONS. FEATURES AND APPLICATION DOMAIN SIMULATION

A. V. Rudkevich
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.3. С. 79-85.

      A new type of data structure is proposed to represent incomplete and fuzzy data from rietrieval system databases, that is a modal function which is a set of modal system times mapped on a linearly ordered modality set. A set of operations over modal functions is examined. Boolean algebra and a chain of isomorphic function nestings are shown to exist for differently defined modality sets. An algorithm is proposed which makes the modal functions suitable for data search. The approach described for modeling an application domain permits to reflect uncertainty and fuzziness in proposition validity values and to set event timing.