Name
Abstract | ||
|---|---|---|
In (Fuzzy Sets and Systems 149 (2005) 297) Wang et al. defined a new fuzzy logic called NMG. They also introduced new formulas to define the additive connectives from multiplicative conjunction, residuated implication and bottom in NMG. However, they did not study the scope of these formulas in the general framework of fuzzy logics. This is the aim of this paper. Therefore, we add the definability formulas to known fuzzy logics as new axioms, following the method used in (Beyond Two: Theory and Applications of Multiple-Valued Logic, 2003, 251.), and we obtain some families of logics presented in a simpler language. Finally, we discuss the standard completeness of these new logics. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.fss.2005.01.004 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
new fuzzy logic,general framework,NM-algebras,IMTL-algebras,Left-continuous t-norms,fuzzy logic,Multiple-Valued Logic,Fuzzy Sets,Nilpotent minimum t-norm,new logic,Involutive left-continuous t-norms,Residuated lattices,additive connective,new formula,Residuated fuzzy many-valued logics,MTL-algebras,Additive connectives,Negation functions,Non-classical logics,new axiom,definability formula | T-norm fuzzy logics,Discrete mathematics,Łukasiewicz logic,Algebra,Non-classical logic,Axiom,Fuzzy logic,Fuzzy set,Monoidal t-norm logic,Fuzzy number,Mathematics | Journal |
Volume | Issue | ISSN |
154 | 1 | Fuzzy Sets and Systems |
Citations | PageRank | References |
4 | 0.54 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Àngel García-Cerdaña | 1 | 71 | 10.05 |
| Carles Noguera | 2 | 462 | 33.93 |
| Francesc Esteva | 3 | 1885 | 200.14 |