A note on the incompatibility of openness and associativity

✍ Scribed by Ronald R. Yager; Alexander Rybalov

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 196 KB
• Volume: 89
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00091-7

✦ Synopsis

The property of openness of an aggregation operator is introduced to indicate that there always exists the possibility of adding some argument value that will change the aggregated value. We then show the incompatibility of openness with the property of associativity.