PARAMETERIZED AND-LIKE AND OR-LIKE OWA OPERATORS

We discuss the OWA (Ordered Weighted Averaging) operators which provid e for aggregation operations lying between the and and the or, and the BADD (BAsic Defuzzification Distribution) transformation. This transf ormation plays a central role in the development of defuzzification pr ocedures, the aggregation of elements in a fuzzy subset to obtain one representative element. We suggest the use of the BADD transformation to generate a class of OWA like aggregation operators, denoted BADD-OW A operators. We show that while these BADD-OWA operators have some int eresting properties, they fail to be monotonic. We next use another fa mily of defuzzification operators, called SLIDE, to generate another c lass of OWA operators. These S-OWA operators provide two subfamilies o f OWA operators, one Or-like and the other And-Like.