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On the measure of fuzziness and negation. II. Lattices

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Yager, Ronald R.·1980·Information and Control

Abstract

We propose that the measure of fuzziness of a concept is related to the distinction between the concept and its negation. In this paper we are concerned with the situation in which our objects lie in a lattice. We introduce the lattice concept of betweenness to operationalize our definition. We investigate properties of this concept of fuzziness. We also discuss the related notion of negation in lattices in detail.

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Metadata

Authors
Yager, R. R.
Venue
Information and Control
Publisher
Elsevier BV
Published
1980-03
Volume
44
Issue
3
Pages
236-260
ISSN
0019-9958 (ISSN-L)
OpenAlex
W1988794238
Cited by
232
References
0
FWCI
2.81
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: On the measure of fuzziness and negation. II. Lattices. https://app.cochat.ai/papers/10.1016/s0019-9958(80)90156-4
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Yager, R. R. (1980). On the measure of fuzziness and negation. II. Lattices. Information and Control. https://doi.org/10.1016/s0019-9958(80)90156-4

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.