Title
On expansions of WNM t-norm based logics with truth-constants
Abstract
This paper focuses on completeness results about generic expansions of propositional weak nilpotent minimum (WNM) logics with truth-constants. Indeed, we consider algebraic semantics for expansions of these logics with a set of truth-constants {r@?|r@?C}, for a suitable countable C@?[0,1], and provide a full description of completeness results when: (i) the t-norm is a weak nilpotent minimum satisfying the finite partition property and (ii) the set of truth-constants covers all the unit interval in the sense that each interval of the partition contains values of C in its interior.
Year
DOI
Venue
2010
10.1016/j.fss.2009.09.002
Fuzzy Sets and Systems
Keywords
Field
DocType
unit interval,full description,nilpotent minimum logic nm,monoidal t-norm based logic mtl,completeness results,generic expansion,weak nilpotent minimum,completeness result,algebraic semantics,rational t-norm based logic,suitable countable,completeness results.,finite partition property,monoidal t-norm based logic (mtl),weak nilpotent minimum logics (wnm),wnm t-norm,weak nilpotent minimum logics wnm,nilpotent minimum logic (nm),propositional weak nilpotent minimum,satisfiability
T-norm,Discrete mathematics,Combinatorics,Countable set,Unit interval,Fuzzy set,Partition (number theory),Completeness (statistics),Mathematics,Algebraic semantics,Nilpotent
Journal
Volume
Issue
ISSN
161
3
Fuzzy Sets and Systems
Citations 
PageRank 
References 
19
0.87
26
Authors
3
Name
Order
Citations
PageRank
Francesc Esteva11885200.14
Lluís Godo288856.28
Carles Noguera346233.93