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On a class of Fuzzy Set Theories

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3 Author(s)
Trillas, E. ; Eur. Centre for Soft Comput., Mieres ; Alsina, C. ; Pradera, A.

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.

Published in:

Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International

Date of Conference:

23-26 July 2007

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