Author : Van-Hung Le
Affiliation : Hanoi University of Mining and Geology
Country : Vietnam
Category :
Computer Science & Information Technology
Volume, Issue,
Month, Year
: 6, 5, November, 2016
ABSTRACT
In
this paper, we consider first-order mathematical fuzzy logic expanded by many
hedges. This is based on the fact that, in the real world, many hedges can be
used simultaneously, and some hedge modifies truth (or meaning of sentences)
more than another hedge. Moreover, each hedge may or may not have a dual one.
We expand two axiomatizations for propositional mathematical fuzzy logic with
many hedges to the first-order level and prove a number of completeness results
for the resulting logics. We also consider logics with many hedges based on
-core fuzzy logics.
Keyword :
Mathematical Fuzzy Logic, First-Order Logic, Hedge, Strong Completeness,
Standard Completeness
For More Details :
https://airccj.org/CSCP/vol6/csit65209.pdf
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