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Logic Approximating Sequences of Sets

In: Mathematical Logic and Its Applications

Author

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  • Helena Rasiowa

    (University of Warsaw, Institute of Mathematics)

Abstract

In various studies concerning computer science or artificial intelligence, in which approximation tools could be applied, there appears a need of gradual approximating descending set sequences X = (Xm) (e.g. of documents, objects, points) formed of elements satisfying some stronger and stronger conditions. Gradual approximations (both: lower and upper ones) are determined by a descending sequence (≌ j) of equivalence relations, going to be established progressively. Approximations of grade j+1 are better than those of grade j. Approximations determined by ≌ω, which is the intersection of ≌j for j

Suggested Citation

  • Helena Rasiowa, 1987. "Logic Approximating Sequences of Sets," Springer Books, in: Dimiter G. Skordev (ed.), Mathematical Logic and Its Applications, pages 167-186, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0897-3_11
    DOI: 10.1007/978-1-4613-0897-3_11
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