Fuzzy modal-like approximation operators based on double residuated lattices. (English) Zbl 1185.68716
Summary: In many applications we have a set of objects together with their properties. Since the available information is usually incomplete and/or imprecise, the true knowledge about subsets of objects can be determined approximately only. In this paper, we discuss a fuzzy generalisation of two pairs of relation-based operators suitable for fuzzy set approximations, which have been recently investigated by Düntsch and Gediga. Double residuated lattices, introduced by Orlowska and Radzikowska, are taken as basic algebraic structures. Main properties of these operators are presented.
MSC:
| 68T37 | Reasoning under uncertainty in the context of artificial intelligence |
| 06F05 | Ordered semigroups and monoids |
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