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A note on fuzzy sets

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1971Publisher:Elsevier BVJournal:Information and Control, volume 18, pages 32-39 (issn: 0019-9958, Copyright policy )
Authors: Joseph G. Brown;

doi: 10.1016/s0019-9958(71)90288-9

A note on fuzzy sets

Abstract

Fuzzy sets are defined as mappings from sets into Boolean lattices. The basic set theory type results for Zadeh's fuzzy sets are shown to carry over. Some results on convex fuzzy sets, star-shaped fuzzy sets, and arcwise connected fuzzy sets are given. Fuzzy sets with “holes,” bounded fuzzy sets, and connected fuzzy sets are also discussed.

Related Organizations
Keywords

Fuzzy sets and logic (in connection with information, communication, or circuits theory), Theory of fuzzy sets, etc., Engineering(all)

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 96
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 0.1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
96
Top 1%
Top 0.1%
Average
hybrid