Knowledge vagueness and logic

Urszula Wybraniec-Skardowska

International Journal of Applied Mathematics and Computer Science (2001)

  • Volume: 11, Issue: 3, page 719-737
  • ISSN: 1641-876X

Abstract

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The aim of the paper is to outline an idea of solving the problem of the vagueness of concepts. The starting point is a definition of the concept of vague knowledge. One of the primary goals is a formal justification of the classical viewpoint on the controversy about the truth and object reference of expressions including vague terms. It is proved that grasping the vagueness in the language aspect is possible through the extension of classical logic to the logic of sentences which may contain vague terms. The theoretical framework of the conception refers to the theory of Pawlak's rough sets and is connected with Zadeh's fuzzy set theory as well as bag (or multiset) theory. In the considerations formal logic means and the concept system of set theory have been used. The paper can be regarded as an outline of the logical theory of vague concepts.

How to cite

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Wybraniec-Skardowska, Urszula. "Knowledge vagueness and logic." International Journal of Applied Mathematics and Computer Science 11.3 (2001): 719-737. <http://eudml.org/doc/207529>.

@article{Wybraniec2001,
abstract = {The aim of the paper is to outline an idea of solving the problem of the vagueness of concepts. The starting point is a definition of the concept of vague knowledge. One of the primary goals is a formal justification of the classical viewpoint on the controversy about the truth and object reference of expressions including vague terms. It is proved that grasping the vagueness in the language aspect is possible through the extension of classical logic to the logic of sentences which may contain vague terms. The theoretical framework of the conception refers to the theory of Pawlak's rough sets and is connected with Zadeh's fuzzy set theory as well as bag (or multiset) theory. In the considerations formal logic means and the concept system of set theory have been used. The paper can be regarded as an outline of the logical theory of vague concepts.},
author = {Wybraniec-Skardowska, Urszula},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {vague knowledge; vague sets; formal logic; rough sets; fuzzy sets; fuzzy set},
language = {eng},
number = {3},
pages = {719-737},
title = {Knowledge vagueness and logic},
url = {http://eudml.org/doc/207529},
volume = {11},
year = {2001},
}

TY - JOUR
AU - Wybraniec-Skardowska, Urszula
TI - Knowledge vagueness and logic
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 3
SP - 719
EP - 737
AB - The aim of the paper is to outline an idea of solving the problem of the vagueness of concepts. The starting point is a definition of the concept of vague knowledge. One of the primary goals is a formal justification of the classical viewpoint on the controversy about the truth and object reference of expressions including vague terms. It is proved that grasping the vagueness in the language aspect is possible through the extension of classical logic to the logic of sentences which may contain vague terms. The theoretical framework of the conception refers to the theory of Pawlak's rough sets and is connected with Zadeh's fuzzy set theory as well as bag (or multiset) theory. In the considerations formal logic means and the concept system of set theory have been used. The paper can be regarded as an outline of the logical theory of vague concepts.
LA - eng
KW - vague knowledge; vague sets; formal logic; rough sets; fuzzy sets; fuzzy set
UR - http://eudml.org/doc/207529
ER -

References

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