Fuzzy Sets and Systems - Special issue on mathematical aspects of fuzzy sets
Fuzzy Sets and Systems
Fuzzy aggregation of numerical preferences
Fuzzy sets in decision analysis, operations research and statistics
The functional equations of Frank and Alsina for uninorms and nullnorms
Fuzzy Sets and Systems
Uncertain Information Processing in Expert Systems
Uncertain Information Processing in Expert Systems
Aggregation operators: new trends and applications
Aggregation operators: new trends and applications
Preferences in AI: An overview
Artificial Intelligence
Bipolar aggregation using the Uninorms
Fuzzy Optimization and Decision Making
Aggregation functions and contradictory information
Fuzzy Sets and Systems
Hi-index | 0.00 |
The paper addresses the problem of extending aggregation operators typically defined on [0,1] to the symmetric interval [−1,1], where the “0” value plays a particular role (neutral value). We distinguish the cases where aggregation operators are associative or not. In the former case, the “0” value may play the role of neutral or absorbant element, leading to pseudo-addition and pseudo-multiplication. We address also in this category the special case of minimum and maximum defined on some finite ordinal scale. In the latter case, we find that a general class of extended operators can be defined using an interpolation approach, supposing the value of the aggregation to be known for ternary vectors.