Original scientific paper

NEW APPROACH TO INFORMATION AGGREGATION

Imre J. Rudas ; Institute of Mathematical and Computational Sciences, John von Neumann Faculty of Informatics, Budapest Polytechnic, Budapest, Hungary

Abstract

In this paper new types of aggregation operators, namely absorbing-norms and parametric type of operator families called distance-based or evolutionary operators are introduced. Absorbing- norms are commutative, associative binary operators having an absorbing element from the uni! interval. A detailed discussion of properties and structure of these operators is given in the paper. Two types of distance-based operators are defined. The maximum and minimum distance operators with respect to e have the value of the element, which is farther, or nearer to e, respectively, where e is an arbitrary element of the unit interval [0,1]. The special cases e = O and e = 1lead to the max and min operators. The new operators are evolutionary types in the sense that if e is increasing starting from zero till e = 1 the min operator is developing into the max operator, while on the other side the max is transformed into the min operator. It is shown that the evolutionary operators can be constructed by means of min and max operators, which are also special cases of the operators. The maximum distance operators are special operators called uninorms and the minimum distance ones are absorbing-norms.

Keywords

information aggregation; t-norms; fuzzy systems

Hrčak ID:

78700

URI

https://hrcak.srce.hr/78700

Publication date:

14.12.2000.

Visits: 760 *