On a class of Fuzzy Set Theories

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jun 2007Publisher:IEEEJournal:2007 IEEE International Fuzzy Systems Conference

Authors: Enric Trillas; Claudi Alsina; Ana Pradera;

doi: 10.1109/fuzzy.2007.4295351

On a class of Fuzzy Set Theories

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Abstract

This paper studies the main properties of a broad class of Fuzzy Set Theories that we call Minimal Fuzzy Set Theories. We investigate the fulfillment of well-known properties, such as idempotency or the existence of absorbent elements. The paper shows, in particular, that these theories do always verify the Kleene's law, as well as the Non-Contradiction and Excluded-Middle principles when these are understood as in ancient logic.

Related Organizations

Universitat Politècnica de Catalunya
Spain
King Juan Carlos University
Spain

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