Interval valued fuzzy sets based on normal forms
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Special issue on fuzzy information processing
New family of triangular norms via contrapositive symmetrization of residuated implications
Fuzzy Sets and Systems
Disjunctive and conjunctive normal forms of pseudo-Boolean functions
Discrete Applied Mathematics - Special issue on Boolean functions and related problems
The normal form of a granular fuzzy function
Fuzzy Sets and Systems
A characterization theorem on the rotation construction for triangular norms
Fuzzy Sets and Systems - Theme: Basic concepts
Normal forms and truth tables for fuzzy logics
Fuzzy Sets and Systems
The unique role of the Łukasiewicz-triplet in the theory of fuzzified normal forms
Fuzzy Sets and Systems
Facts and figures on fuzzified normal forms
IEEE Transactions on Fuzzy Systems
On the structure of left-continuous t-norms that have a continuous contour line
Fuzzy Sets and Systems
(S, N)- and R-implications: A state-of-the-art survey
Fuzzy Sets and Systems
Hi-index | 0.20 |
The generalization of the disjunctive and conjunctive Boolean normal forms to fuzzy set theory, obtained by interpreting @? as a t-norm, @? as a t-conorm and ^' as a negator, often provides a kind of standard fuzzification procedure. A system of functional equations turns up if some functional independence of the difference between both generalizations is demanded. In this paper, we explore which De Morgan triplets, based on a left-continuous t-norm T, solve this system. Imposing some extra continuity conditions on T, these t-norm solutions can be obtained by the rotation construction of Jenei. The Cauchy equation plays a key role in the reasoning process.